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fraction worksheets 7th grade

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Fractions Worksheets Grade 7

Fractions worksheets 7th grade can be used to give students a better understanding of how to solve questions involving fractions numbers. These grade 7 math worksheets incorporate problems based on the application of arithmetic operators on fractions, word problems, and other questions associated with the concept of fractions.

Benefits of 7th Grade Fractions Worksheets

Fractions can sometimes be a confusing topic for young minds. To ensure that students have crystal clear concepts, they can solve the problems available in the fractions worksheets 7th grade. The well-curated questions are organized in an increasing level of difficulty and give students the flexibility to work at their own pace.

Printable PDFs for Grade 7 Fractions Worksheets

The 7th grade fractions worksheets is interactive, easy to use, and has several visual simulations that help students in assimilating the topic in a more effective manner. This worksheet is also available in PDF format that is free to download

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fraction worksheets 7th grade

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Free Worksheets for Grades 6, 7, 8

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Free Math Worksheets for Sixth, Seventh, Eighth, and Ninth Grade (w/ Answer Keys)

The following printable math worksheets for 6th, 7th, 8th, and 9th grade include a complete answer key.

Click any of the links below to download your worksheet as an easy-to-print PDF file.

Topic: Decimals, Fractions and Mixed Numbers

Simplifying Fractions

Adding Fractions

Subtracting Fractions

Adding and Subtracting Fractions and Mixed Numbers

Adding and Subtracting Decimals

Multiplying and Dividing Decimals

Multiply Decimals by 10, 100, and 1,000

Multiplying Fractions

Multiplying Fractions and Whole Numbers

Dividing Fractions

Name decimal fractions in expanded, unit, and word forms

Naming and Rounding Decimal Places

Practice: Rounding Integers and Decimals

Converting Between Fractions and Decimals

Practice with Equivalent Fractions

Topic: Ratios, Proportions, and Percents

Practice: Simple and Compound Interest

Converting Fractions to Percents

Converting Decimals to Percents

Practice: Percent Change

Identifying Proportions (Comparing Fractions)

Solving Proportions (One Variable)

Topic: Expressions, Equations, and Inequalities

Evaluating Expressions with Variables

Graphing Inequalities on the Number Line

Graphing Inequalities on the Number Line (One-Step Equations)

Graphing Inequalities on the Number Line (Two-Step Equations)

Topic: Geometry

Practice: Identifying 3D Figures

Finding Volume: Spheres

Finding Volume: Square and Rectangular Prisms

Finding Volume: Cylinders

Finding Volume: Cones

Finding Surface Area: Spheres

Finding Surface Area: Square and Rectangular Prisms

Finding Surface Area: Cylinders

Finding Surface Area: Cones

Topic: Fundamental Skills

Practice: Rounding

Multiplying Integers

Dividing Integers

Order of Operations

Evaluating Expressions

Distributive Property

Practice: Mean, Median, and Mode

Squares and Square Roots (Easy)

Squares and Square Roots (Intermediate)

Squares and Square Roots (Advanced)

Topic: Factoring

Factoring Positive Integers

Practice: Prime Factorization

Practice: Least Common Multiple

Practice: Greatest Common Factor

Practice: Factoring Monomials

Topic: Exponents and Square Roots

Perfect Squares and Square Roots

Multiplying Exponents

Dividing Exponents

Practice: Power Rule of Exponents

Scientific Notation

Topic: Data Tables, Graphs, and Charts

Scatter Plots (Identifying Correlation)

Box-and-Whisker Plots

Fractions Worksheets

Printable fractions worksheets for teachers.

Here is a graphic preview for all of the fractions worksheets. You can select different variables to customize these fractions worksheets for your needs. The fractions worksheets are randomly created and will never repeat so you have an endless supply of quality fractions worksheets to use in the classroom or at home. Our fractions worksheets are free to download, easy to use, and very flexible.

These fractions worksheets are a great resource for children in Kindergarten, 1st Grade, 2nd Grade, 3rd Grade, 4th Grade, and 5th Grade.

Click here for a Detailed Description of all the Fractions Worksheets .

If you're looking for a great tool for adding, subtracting, multiplying or dividing mixed fractions check out this online Fraction Calculator.

Quick Link for All Fractions Worksheets

Click the image to be taken to that Fractions Worksheet.

Detailed Description for All Fractions Worksheets

Visual Aids for Teaching Fractions Worksheets Use these fractions worksheets to produce rectangular fractions bars and pie wedge fractions to be used as visuals in your teaching lesson plans. These fractions worksheets will produce fraction representations from a whole thru 1/12's. These fractions worksheets are great teaching aids for teaching your children different fractions. These worksheets are appropriate for Kindergarten, 1st Grade, and 2nd Grade.

Visual Fractions Worksheets These fractions worksheets are great for teaching different fractions using visual fraction problems. These worksheets will produce fraction representations with denominators of 2 through 12. The students will be asked to identify the fractions for the shaped in shape, and to shade in the shape for the given fraction. These worksheets are appropriate for Kindergarten, 1st Grade, and 2nd Grade.

Visually Adding Simple Fractions Worksheets These fractions worksheets are great practice for beginning to add simple fractions. These fractions problems include visual representations to aid the student in the addition. The fractions will have the same denominators and not exceed the value of one. These worksheets will randomly generate 5 fraction addition problems per worksheet with the answer worksheet.

Adding Simple Fractions Worksheets These fractions worksheets are great practice for beginning to add simple fractions. These fractions problems will have the same denominators and not exceed the value of one. These worksheets will generate 10 fraction addition problems per worksheet.

Adding Two Fractions Worksheets These fractions worksheets are great for testing children in their adding of two fractions. These fractions worksheets may be selected for five different degrees of difficulty. The answer worksheet will show the progression on how to solve the fraction problems. These worksheets will generate 10 fraction addition problems per worksheet.

Adding Three Fractions Worksheets These fractions worksheets are great for testing children in their adding of three fractions. These fractions worksheets may be selected for five different degrees of difficulty. The answer worksheet will show the progression on how to solve the fraction problems. These worksheets will generate 10 fraction addition problems per worksheet.

Adding Mixed Number Fractions Worksheets These fractions worksheets are great for practicing Adding Mixed Number Fractions Problems. The fractions worksheets may be selected for five different degrees of difficulty. The answer worksheet will show the progression on how to solve the problems. These worksheets will generate 10 fraction mixed number addition problems per worksheet.

Visually Subtracting Simple Fractions Worksheets These fractions worksheets are great practice for beginning to subtract simple fractions. These fractions problems will have the same denominators and not equal zero. These worksheets will randomly generate 5 fraction subtraction problems per worksheet with the answer worksheet.

Subtracting Simple Fractions Worksheets These fractions worksheets are great practice for beginning to subtract simple fractions. These fractions problems will have the same denominators and not equal zero. These worksheets will randomly generate 10 fraction subtraction problems per worksheet with the answer worksheet.

Subtracting Fractions Worksheets These fractions worksheets will produce problems that will test children in their subtraction of two fractions. The fractions worksheets may be selected for five different degrees of difficulty. The answer worksheet will show the progression on how to solve the problems. These worksheets will randomly generate 10 fraction subtraction problems per worksheet with the answer worksheet.

Subtracting Three Fractions Worksheets These fractions worksheets are great for testing children in their subtracting of three fractions. These fractions worksheets may be selected for five different degrees of difficulty. The answer worksheet will show the progression on how to solve the fraction problems. These worksheets will generate 10 to 100 fraction subtraction problems per worksheet.

Subtracting Fractions and Whole Numbers Worksheets These fractions worksheets are perfect for practicing subtracting fractions from whole numbers. You can select from five different degrees of difficulty. The easiest will keep the denominators and the numerators between 1 and 9. The hardest will keep the numerators between 1 and 20. The answer worksheet will show the progression on how to solve the problems. These fraction worksheets will generate 10 or 15 problems per worksheet.

Subtracting Mixed Number Fractions Worksheets These fractions worksheets are great for practicing subtracting Mixed Number Fraction Problems. You may select whether or not the fractions worksheets require regrouping or not. The fractions worksheets may be selected for five different degrees of difficulty. The answer worksheets will show the progression on how to solve the problems. These worksheets will generate 10 or 15 mixed number subtraction problems per worksheet.

Adding & Subtracting Three Fractions Worksheets These fractions worksheets are great for testing children in their adding and subtracting of three fractions. These fractions worksheets may be selected for five different degrees of difficulty. The answer worksheet will show the progression on how to solve the fraction problems. These worksheets will generate 10 to 100 fraction problems per worksheet.

Multiplying Fractions Worksheets These fractions worksheets are great for working on multiplying fractions. The fractions worksheets may be selected for three different degrees of difficulty. The answer worksheets will show the progression on how to solve the problems. These worksheets will generate 10 fraction multiplication problems per worksheet.

Multiplying Fractions Worksheets with Cross Cancelling These fractions worksheets are great for working on multiplying fractions. The fractions worksheets may be selected for four different degrees of difficulty. The answer worksheets will show the progression on how to solve the problems. These worksheets will generate 10 fraction multiplication problems per worksheet.

Multiplying Mixed Number Fractions Worksheets These fractions worksheets are great for practicing Multiplying Mixed Numbers Problems. The fractions worksheets may be selected for two different degrees of difficulty. The answer worksheets will show the progression on how to solve the problems. These worksheets will generate 10 fraction mixed number multiplication problems per worksheet.

Multiplying Fractions Worksheets with Whole Numbers These fractions worksheets are great for working with multiplying fractions with Whole Numbers. The fractions worksheets may be selected for three different degrees of difficulty. The answer worksheets will show the progression on how to solve the problems. These worksheets will generate 10 fraction multiplication problems per worksheet.

Dividing Fractions Worksheets | Invert and Multiply These fractions worksheets are great for working on dividing fractions. The fractions worksheets may be selected for three different degrees of difficulty. The answer worksheets will show the progression on how to solve the problems. These worksheets will generate 10 fraction division problems per worksheet.

Dividing Mixed Number Fractions Worksheets These fractions worksheets are great for practicing Dividing Mixed Numbers Problems. The fractions worksheets may be selected for two different degrees of difficulty. The answer worksheets will show the progression on how to solve the problems. These worksheets will generate 10 fraction mixed number division problems per worksheet.

Dividing Fractions and Whole Numbers Worksheets These fractions worksheets are great for working with dividing fractions and Whole Numbers. The fractions worksheets may be selected for two different degrees of difficulty. The answer worksheets will show the progression on how to solve the problems. These worksheets will generate 10 fraction division problems per worksheet.

Prime Factorization Trees Worksheets These fractions worksheets are great for practicing finding all of the prime factors contained in a number. The Prime Factorization Trees Worksheets are great visual aids. These fractions worksheets may be selected from two different degrees of difficulty. These worksheets will generate 6 Prime Factorization Tree problems per worksheet and the answer keys are generated.

Greatest Common Factor Worksheets These fractions worksheets are great for practicing finding the Greatest Common Factor of number sets. Understanding Greatest Common Factors are very important for working with fraction problems. These fractions worksheets may be selected from four different number ranges. These worksheets will generate 10, 15 or 20 Greatest Common Factor problems per worksheet.

Least Common Multiple Worksheets These fractions worksheets are great for practicing finding the Least Common Multiple of number sets. Understanding Least Common Multiples are very important for working with fraction problems. These fractions worksheets may be selected from four different number ranges. These worksheets will generate 10, 15 or 20 Least Common Multiple problems per worksheet.

Equivalent Fraction Problems Worksheets These fractions worksheets will produce equivalent fraction problems with different numerators and denominators. You may select between 10, 15, 20 or 30 problems for each worksheet.

Equivalent Fractions Worksheets These fractions worksheets have rows of equivalent fractions, each with either the numerator or denominator left blank. One fraction in each row will be written with both the numerator and denominator. The student will fill in the missing numerators and denominators. These worksheets will generate 10 Equivalent Fractions problems per worksheet.

Reducing Fractions Worksheets These fractions worksheets are great for testing children in their reducing of fractions. These fractions worksheets may be selected from easy, medium or hard level of difficulty. You may select 10, 20 or 30 problems per worksheets.

Converting Between Fractions and Decimals Worksheets These fractions worksheets are great for testing children for converting between Fractions and Decimals. You may select 3 or 4 digit to the right of the decimal. These worksheets will create twenty problems per page.

Comparing Fractions Worksheets These fractions worksheets are great for testing children to compare Fractions to see if they are greater than, less than or equal. These worksheets may be selected for different denominators so the problems may be positive, negative or mixed.

Denominators and Numerators Comparison Worksheets These fractions worksheets are great for testing children in their comparison of fractions with similar denominators and numerators to see if they are greater than or less than. You may select different denominators and have the problems produce similar denominators, or problems with similar numerators, or a mixture of both.

Comparing Fractions and Decimals Worksheets These fractions worksheets are great for testing children to compare Fractions and Decimals to see if they are greater than, less than or equal. These worksheets may be selected for different denominators so the problems may be positive, negative or mixed.

Converting Improper Fractions and Mixed Numbers Worksheets These fractions worksheets are great for working on converting Improper Fractions and Mixed Numbers. These fractions worksheets may be selected from easy, medium or hard level of difficulty. It will produce 15 Improper Fractions problems and 15 Mixed Number problems per worksheets.

Solving Fractions with Exponents Worksheets These fractions worksheets are great for practicing solving fractions with exponents. These worksheets will generate 20 fractions problems with exponents per worksheet.

Adding Tape Measure Fractions Worksheets These fractions worksheets are great for practicing how to add measurement you would find on a tape measure. These fractions worksheets will use 1/2's, 1/4's, 1/8's. 1/16's and there is an option to select 1/32's and 1/64's. These worksheets will generate 10 tape measurement fraction addition problems per worksheet.

Adding Fractional Inches Worksheets These fractions worksheets are great for practicing how to add fractional inch measurements that you would find on a tape measure. These fractions worksheets will use 1/2's, 1/4's, 1/8's. 1/16's and there is an option to select 1/32's and 1/64's. These worksheets will generate 10 fractional inch problems per worksheet.

Subtracting Tape Measure Fractions Worksheets These fractions worksheets are great for practicing how to subtract measurement you would find on a tape measure. The problems will use 1/2's, 1/4's, 1/8's. 1/16's and there is an option to select 1/32's and 1/64's. These worksheets will generate 10 tape measurement fraction subtraction problems per worksheet.

Subtracting Fractional Inches Worksheets These fractions worksheets are great for practicing how to subtract fractional inch measurements that you would find on a tape measure. These fractions worksheets will use 1/2's, 1/4's, 1/8's. 1/16's and there is an option to select 1/32's and 1/64's. These worksheets will generate 10 fractional inch problems per worksheet.

Decimal Equivalents of Fractions for an Inch Worksheets These fractions worksheets are great handouts for student learning about fractions and the decimal equivalents for an inch. They will produce a table of all the fractions from 1/64th to 63/64th of an inch.

Finding Fractions of Whole Numbers Worksheets These Fractions Worksheets are great for testing children for finding fractions of whole numbers. You may select the denominators of the fractions and the type of the problems. The worksheet will create twenty problems per page.

Adding and Subtracting Fractional Inches with Borrowing Worksheets These Fractions Worksheets are great for practicing how to add, subtract and borrow with fractional inch measurements that you would find on a tape measure. You may select the types of expressions used, the type of operations and the denominators used in the fractions.

Adding and Subtracting Fractional Feet & Inches with Borrowing Worksheets These Fractions Worksheets great for practicing how to add, subtract and borrow feet and fractional inch measurements that you would find on a tape measure. You may select the types of expressions used, the type of operations and the denominators used in the fractions.

Ordering Fractions Worksheets These Fractions Worksheets will produce problems that involve ordering fractions. The student will be given a list of fractions and be asked to order them in ascending or descending order. You may select the number of problems per worksheets, the number of fractions to sort per problem, the range of numerators and denominators, as well as the way to order the fractions.

fraction worksheets 7th grade

7th Grade Topics

Free 7th grade fractions worksheets.

If you find these free worksheets valuable, you are welcome to a free trial of Formative Loop Daily Math for Grades 1-8 which will track and individualize the worksheets for each student automatically.

Enjoy! - The Formative Loop Team

LetsPlayMaths.Com

Class vii math, grade 7 - fractions worksheet 4.

1. 50 ÷ 3 4 ⁄ 7 = _____. a) 7 ⁄ 5                     b) 12 c) 14 ⁄ 9                   d) 16

2. 21 ⁄ 8 ÷ 1 1 ⁄ 6 = _____. a) 9 ⁄ 4                   b) 5 ⁄ 9 c) 4 ⁄ 9                   d) None of these

3. Reciprocal of 5 2 ⁄ 5 is equal to _____. a) 17 ⁄ 5                      b) 3 2 ⁄ 5 c) 1                         d) 5 ⁄ 27

4. The cost of 5 1 ⁄ 4 kg of mangoes is Rs. 1050. What is the cost of 10 kg mangoes? a) Rs. 200                    b) Rs. 2000 c) Rs. 800                    d) Rs. 1000

5. What is the fraction of an hour is 45 minutes. a) 3 ⁄ 5                   b) 1 ⁄ 4 c) 3 ⁄ 4                   d) None of these

6. A motor bike runs 65 km per litre of petrol. How much distance it will cover in 2 3 ⁄ 5 litre? a) 179 Km.                  b) 279 Km. c) 269 Km.                  d) 169 Km.

7. 4 1 ⁄ 4 times of 5 2 ⁄ 3 is equal to _____. a) 22 1 ⁄ 12                      b) 24 1 ⁄ 12 c) 24 3 ⁄ 4                        d) None of these

8. John bought 5 dozen of banana. He found 2 ⁄ 5 of banana are damaged. What is the number of undamaged bananas? a) 24                       b) 60 c) 12                       d) 36

9. (1 1 ⁄ 3 ÷ 1 1 ⁄ 2 ) ÷ 1 1 ⁄ 2 x _____ = 16 a) 25 5 ⁄ 6                     b) 27 c) 29 6 ⁄ 7                     d) 30

10. (1 ÷ 2 3 ⁄ 4 ) + (1 ÷ 3 1 ⁄ 2 ) = _____. a) 50 ⁄ 60                     b) 50 ⁄ 77 c) 77 ⁄ 50                     d) None of these

11. A toy marked price was Rs. 640. It was sold at 4 ⁄ 5 of marked price. What was the sale price of the toy? a) Rs. 560                    b) Rs. 522 c) Rs. 512                    d) Rs. 600

12. Pradeep bought a motor bike at a price Rs. 54000. He paid 1 ⁄ 5 of the price in cash and the rest amount in 10 equal instalments. Find the amount he is going to pay every month. a) Rs. 4220                    b) Rs. 4420 c) Rs. 4120                    d) Rs. 4320

13. 41 2 ⁄ 3 x 3 ⁄ 5 = _____. a) 20                    b) 25 c) 30                    d) 35

14. (1 ÷ 2 2 ⁄ 5 ) + (1 ÷ 1 1 ⁄ 2 ) + (1 ÷ 1 4 ⁄ 5 ) = _____. a) 59 ⁄ 30                    b) 59 ⁄ 63 c) 59 ⁄ 36                    d) None of these

15. The value of a fraction increases if denominator of the fraction is decreased while numerator is kept same. Mark True / False. a) True                     b) False

16. Cost of 10 similar books is Rs. 256. Rs. 25 3 ⁄ 5 , What is the price of each book? a) 8                   b) 10 c) 12                 d) 15

17. The cost of 6 1 ⁄ 4 kg of oranges is Rs. 200. What is the cost of 4 kg oranges? a) Rs. 32                    b) Rs. 54 c) Rs. 72                    d) Rs. 128

18. If the numerator and the denominator of an improper fraction is increased by the same proportion, then resulting fraction will be greater than the original fraction. Mark True / False. a) True                     b) False

19. The product of two numbers is 15 5 ⁄ 6 . If one of the number is 2 1 ⁄ 2 , then what is the other number? a) 1 5 ⁄ 3 cm²                     b) 6 5 ⁄ 6 c) 6 1 ⁄ 3 cm                      d) None of these

20. Reciprocal of 0 is not defined. Mark True / False. a) True                    b) False

If you want to download the above worksheet, please click below link.

Fractions Worksheet-4 Download the pdf

Fractions Worksheet - 1

Fractions Worksheet - 2

Fractions Worksheet - 3

Fractions Worksheet - 4

Answer Sheet

Fractions-Answer Download the pdf

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Fractions Worksheets

Welcome to the fractions worksheets page at Math-Drills.com where the cup is half full! This is one of our more popular pages most likely because learning fractions is incredibly important in a person's life and it is a math topic that many approach with trepidation due to its bad rap over the years. Fractions really aren't that difficult to master especially with the support of our wide selection of worksheets.

This page includes Fractions worksheets for understanding fractions including modeling, comparing, ordering, simplifying and converting fractions and operations with fractions. We start you off with the obvious: modeling fractions. It is a great idea if students can actually understand what a fraction is, so please do spend some time with the modeling aspect. Relating modeling to real life helps a great deal too as it is much easier to relate to half a cookie than to half a square. Ask most students what you get if you add half a cookie and another half a cookie, and they'll probably let you know that it makes one delicious snack.

The other fractions worksheets on this page are devoted to helping students understand the concept of fractions. From comparing and ordering to simplifying and converting... by the time students master the material on this page, operations of fractions will be a walk in the park.

Most Popular Fractions Worksheets this Week

Adding and Subtracting Mixed Fractions

General Use Fractions Printables

Fraction circles.

fraction worksheets 7th grade

Fraction circle manipulatives are mainly used for comparing fractions, but they can be used for a variety of other purposes such as representing and identifying fractions, adding and subtracting fractions, and as probability spinners. There are a variety of options depending on your purpose. Fraction circles come in small and large versions, labeled and unlabeled versions and in three different color schemes: black and white, color, and light gray. The color scheme matches the fraction strips and use colors that are meant to show good contrast among themselves. Do note that there is a significant prevalence of color-blindness in the population, so don't rely on all students being able to differentiate the colors.

Suggested activity for comparing fractions: Photocopy the black and white version onto an overhead projection slide and another copy onto a piece of paper. Alternatively, you can use two pieces of paper and hold them up to the light for this activity. Use a pencil to represent the first fraction on the paper copy. Use a non-permanent overhead pen to represent the second fraction. Lay the slide over the paper and compare the two circles. You should easily be able to tell which is greater or lesser or if the two fractions are equal. Re-use both sheets by erasing the pencil and washing off the marker.

Adding fractions with fraction circles will involve two copies on paper. Cut out the fraction circles and segments of one copy and leave the other copy intact. To add 1/3 + 1/2, for example, place a 1/3 segment and a 1/2 segment into a circle and hold it over various fractions on the intact copy to see what 1/2 + 1/3 is equivalent to. 5/6 or 10/12 should work.

Fraction Strips

fraction worksheets 7th grade

Fractions strips are often used for comparing fractions. Students are able to see quite easily the relationships and equivalence between fractions with different denominators. It can be quite useful for students to have two copies: one copy cut into strips and the other copy kept intact. They can then use the cut-out strips on the intact page to individually compare fractions. For example, they can use the halves strip to see what other fractions are equivalent to one-half. This can also be accomplished with a straight edge such as a ruler without cutting out any strips. Pairs or groups of strips can also be compared side-by-side if they are cut out. Addition and subtraction (etc.) are also possibilities; for example, adding a one-quarter and one-third can be accomplished by shifting the thirds strip so that it starts at the end of one-quarter then finding a strip that matches the end of the one-third mark (7/12 should do it).

Teachers might consider copying the fraction strips onto overhead projection acetates for whole class or group activities. Acetate versions are also useful as a hands-on manipulative for students in conjunction with an uncut page.

The "Smart" Fraction Strips include strips in a more useful order, eliminate the 7ths and 11ths strips as they don't have any equivalents and include 15ths and 16ths. The colors are consistent with the classic versions, so the two sets can be combined.

Modeling Fractions Worksheets

Besides using the worksheets below, you can also try some more interesting ways of modeling fractions. Healthy snacks can make great models for fractions. Can you cut a cucumber into thirds? A tomato into quarters? Can you make two-thirds of the grapes red and one-third green?

Modeling fractions with groups of shapes

fraction worksheets 7th grade

Fractions can represent parts of a group or parts of a whole. In these worksheets, fractions are modeled as parts of a group.

Modeling fractions with rectangles

fraction worksheets 7th grade

Modeling fractions with circles

fraction worksheets 7th grade

Ratio and Proportion Worksheets

Picture ratios.

fraction worksheets 7th grade

More picture ratios can be found on holiday and seasonal pages. Try searching for picture ratios to find more.

Equivalent fractions

fraction worksheets 7th grade

The equivalent fractions models worksheets include only the "baking fractions" in the A versions. To see more difficult and varied fractions, please choose the B to J versions after loading the A version.

Equivalent ratios

fraction worksheets 7th grade

Comparing & Ordering Fractions Worksheets

Comparing simple fractions.

fraction worksheets 7th grade

There are many different strategies other than staring at the page that will help in comparing fractions. Try starting with something visual that will depict the fractions in question. We highly recommend our fraction strips (scroll up a bit). Using a straight edge like a ruler or book or folding will help students to easily see which fraction is greater or if they are equal. We should also mention that the things that are compared should be the same. Each fraction strip for example is the same size whereas if you took a third of a watermelon and half of a grape, the watermelon would probably win out.

Comparing Simple and Improper Fractions

fraction worksheets 7th grade

Another strategy to use when comparing fractions is to use a number line and to use benchmarks like 0, 1, 1/2 to figure out where each fraction goes then see which one is bigger. Students actually do this one all the time since they can often compare fractions by recognizing that one is less than half and the other is greater than half. They might also see that one fraction is much closer to a whole than another fraction even though they might both be greater than a half.

Comparing Simple, Improper and Mixed Fractions

fraction worksheets 7th grade

Another strategy for comparing fractions is to convert each fraction to a decimal and compare the decimals. Decimal conversions can be memorized (especially for the common fractions) calculated with long division or using a calculator or look-up table. We suggest the latter since using a look-up table often leads to mental recall.

Ordering fractions on a Number Line

fraction worksheets 7th grade

Many of the same strategies that work for comparing fractions also work for ordering fractions. Using manipulatives such as fraction strips, using number lines, or finding decimal equivalents will all have your student(s) putting fractions in the correct order in no time. We've probably said this before, but make sure that you emphasize that when comparing or ordering fractions, students understand that the whole needs to be the same. Comparing half the population of Canada with a third of the population of the United States won't cut it. Try using some visuals to reinforce this important concept. Even though we've included number lines below, feel free to use your own strategies.

Ordering fractions

fraction worksheets 7th grade

The ordering fractions worksheets in this section do not include a number line, to allow for students to use various sorting strategies.

Simplifying & Converting Fractions Worksheets

Rounding fractions.

fraction worksheets 7th grade

Rounding fractions helps students to understand fractions a little better and can be applied to estimating answers to fractions questions. For example, if one had to estimate 1 4/7 × 6, they could probably say the answer was about 9 since 1 4/7 is about 1 1/2 and 1 1/2 × 6 is 9.

Simplifying fractions

fraction worksheets 7th grade

Learning how to simplify fractions makes a student's life much easier later on when learning operations with fractions. It also helps them to learn that different-looking fractions can be equivalent. One way of demonstrating this is to divide out two equivalent fractions. For example 3/2 and 6/4 both result in a quotient of 1.5 when divided. By practicing simplifying fractions, students will hopefully recognize unsimplified fractions when they start adding, subtracting, multiplying and dividing with fractions.

Converting between improper and mixed fractions

fraction worksheets 7th grade

Converting between fractions, decimals, percents, and ratios

fraction worksheets 7th grade

Operations with Fractions Worksheets

Multiplying fractions.

fraction worksheets 7th grade

Multiplying fractions is usually less confusing operationally than any other operation and can be less confusing conceptually if approached in the right way. The algorithm for multiplying is simply multiply the numerators then multiply the denominators. The magic word in understanding the multiplication of fractions is, "of." For example what is two-thirds OF six? What is a third OF a half? When you use the word, "of," it gets much easier to visualize fractions multiplication. Example: cut a loaf of bread in half, then cut the half into thirds. One third OF a half loaf of bread is the same as 1/3 x 1/2 and tastes delicious with butter.

Dividing Fractions

fraction worksheets 7th grade

Conceptually, dividing fractions is probably the most difficult of all the operations, but we're going to help you out. The algorithm for dividing fractions is just like multiplying fractions, but you find the inverse of the second fraction or you cross-multiply. This gets you the right answer which is extremely important especially if you're building a bridge. We told you how to conceptualize fraction multiplication, but how does it work with division? Easy! You just need to learn the magic phrase: "How many ____'s are there in ______? For example, in the question 6 ÷ 1/2, you would ask, "How many halves are there in 6?" It becomes a little more difficult when both numbers are fractions, but it isn't a giant leap to figure it out. 1/2 ÷ 1/4 is a fairly easy example, especially if you think in terms of U.S. or Canadian coins. How many quarters are there in a half dollar?

Adding Fractions

fraction worksheets 7th grade

Adding fractions requires the annoying common denominator. Make it easy on your students by first teaching the concepts of equivalent fractions and least common multiples. Once students are familiar with those two concepts, the idea of finding fractions with common denominators for adding becomes that much easier. Spending time on modeling fractions will also help students to understand fractions addition. Relating fractions to familiar examples will certainly help. For example, if you add a 1/2 banana and a 1/2 banana, you get a whole banana. What happens if you add a 1/2 banana and 3/4 of another banana?

Adding Mixed Fractions Worksheets

fraction worksheets 7th grade

A common strategy to use when adding mixed fractions is to convert the mixed fractions to improper fractions, complete the addition, then switch back. Another strategy which requires a little less brainpower is to look at the whole numbers and fractions separately. Add the whole numbers first. Add the fractions second. If the resulting fraction is improper, then it needs to be converted to a mixed number. The whole number portion can be added to the original whole number portion.

Subtracting Fractions

fraction worksheets 7th grade

There isn't a lot of difference between adding and subtracting fractions. Both require a common denominator which requires some prerequisite knowledge. The only difference is the second and subsequent numerators are subtracted from the first one. There is a danger that you might end up with a negative number when subtracting fractions, so students might need to learn what is means in that case. When it comes to any concept in fractions, it is always a good idea to relate it to a familiar or easy-to-understand situation. For example, 7/8 - 3/4 = 1/8 could be given meaning in the context of a race. The first runner was 7/8 around the track when the second runner was 3/4 around the track. How far ahead was the first runner? (1/8 of the track).

Subtracting Mixed Fractions Worksheets

fraction worksheets 7th grade

Various Operations Fractions Worksheets

Mixing up the signs on operations with fractions worksheets makes students pay more attention to what they are doing and allows for a good test of their skills in more than one operation.

Adding and subtracting fractions

fraction worksheets 7th grade

Multiplying and dividing fractions

fraction worksheets 7th grade

Mixed operations with fractions

fraction worksheets 7th grade

Operations with Negative fractions

fraction worksheets 7th grade

Although some of these worksheets are single operations, it should be helpful to have all of these in the same location. There are some special considerations when completing operations with negative fractions. It is usually very helpful to change any mixed numbers to an improper fraction before proceeding. It is important to pay attention to the signs and know the rules for multiplying positives and negatives (++ = +, +- = -, -+ = - and -- = +).

Order of Operations with Fractions Worksheets

Order of operations with fractions.

fraction worksheets 7th grade

The order of operations worksheets in this section actually reside on the Order of Operations page, but they are included here for your convenience..

Order of operations with decimals & fractions mixed

fraction worksheets 7th grade

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