Fraction Worksheets Matched to Grade and Skill

Fraction problems by grade, with answers, ready to copy onto a sheet.

A fraction worksheet should practice one skill that fits the grade (a judgment call). At Chalkbox, we build free printable worksheet tools, and every sample problem on this page has a checked answer you can copy onto a blank sheet. The grade list follows a common progression in the United States, and the grade for each skill varies by state and country.

Fraction Worksheet Skills by Grade

Students in grades 1 to 2 start by splitting shapes into halves, thirds and fourths. Grade 3 adds naming fractions and comparing them on a number line. Grade 4 adds equivalent fractions and adding fractions with like denominators.

Grade 5 adds unlike denominators and multiplying a fraction by a whole number. Grade 6 adds fraction division. Treat the table as a starting guide, and move a row up or down to match the standards your school follows.

Grade BandSkillSample Problems
Grades 1 to 2Halves, thirds and fourths of shapesShade 1/2 of a rectangle; split a circle into fourths
Grade 3Naming fractions and comparing on a number line1/4 < 1/3; 3/8 < 1/2
Grade 4Equivalent fractions; adding with like denominators1/2 = 2/4 = 3/6 = 4/8; 2/8 + 3/8 = 5/8
Grade 5Unlike denominators; fraction times a whole number1/2 + 1/3 = 5/6; 3 x 2/5 = 1 1/5
Grade 6Fraction division3 ÷ 1/4 = 12; 2/3 ÷ 1/6 = 4

Mixed numbers, fraction-times-fraction problems, fraction of a set and decimal conversions sit in different grades in different curricula. The skill sections below include all of them, so you can place each one where your unit needs it.

Sample Problems by Skill

Each skill below has four to six problems with checked answers. Blank out the answers for the student copy. Keep the full version as your answer key.

Equivalent Fractions and Simplifying

Equivalent fractions name the same amount with different numbers, so 1/2 and 4/8 mark the same point on a number line. Students make one by multiplying or dividing the numerator and denominator by the same number.

  • 1/2 = 2/4 = 3/6 = 4/8
  • 2/3 = 4/6 = 6/9
  • 3/4 = 6/8 = 9/12
  • Simplify 6/8 = 3/4 (divide both numbers by 2)
  • Simplify 4/12 = 1/3 (divide both numbers by 4)
  • Simplify 10/15 = 2/3 (divide both numbers by 5)

On the student copy, leave one number blank in each chain, such as 2/3 = 4/? = 6/9.

Comparing Fractions

Fractions with different denominators can be compared once both are rewritten over a common denominator. After that, the larger numerator marks the larger fraction.

  • 1/4 < 1/3 (same numerator, and fourths are smaller pieces than thirds)
  • 3/8 < 1/2 (1/2 = 4/8, and 3/8 < 4/8)
  • 2/3 > 3/5 (10/15 > 9/15)
  • 5/6 > 3/4 (10/12 > 9/12)

Print an empty box between the two fractions. Students write <, > or = in it.

Adding and Subtracting with Like Denominators

When the denominators match, add or subtract the numerators and keep the denominator the same. Then simplify the answer if you can.

  • 2/8 + 3/8 = 5/8
  • 3/10 + 4/10 = 7/10
  • 5/6 + 4/6 = 9/6 = 1 3/6 = 1 1/2
  • 7/9 - 4/9 = 3/9 = 1/3
  • 5/8 - 1/8 = 4/8 = 1/2

Three of the five answers need simplifying.

Adding and Subtracting with Unlike Denominators

Fractions with unlike denominators need a common denominator before you add or subtract them. Find a number both denominators divide into, rewrite each fraction over it, then work with the numerators.

  • 1/2 + 1/3 = 3/6 + 2/6 = 5/6
  • 1/4 + 2/3 = 3/12 + 8/12 = 11/12
  • 3/4 + 1/6 = 9/12 + 2/12 = 11/12
  • 2/5 + 1/2 = 4/10 + 5/10 = 9/10
  • 3/4 - 1/3 = 9/12 - 4/12 = 5/12
  • 5/6 - 1/2 = 5/6 - 3/6 = 2/6 = 1/3

A multiplication chart lists the multiples of each denominator. On the student copy, print only the problem and leave the middle step blank.

Mixed Numbers and Improper Fractions

An improper fraction has a numerator equal to or larger than its denominator. A mixed number writes the same amount as a whole number plus a fraction.

  • 7/4 = 1 3/4
  • 11/5 = 2 1/5
  • 2 1/3 = 7/3
  • 3 1/2 = 7/2

To change 11/5 into a mixed number, divide: 5 goes into 11 two times with 1 left over, so the answer is 2 1/5. To go the other way with 3 1/2, multiply 3 x 2 = 6 and add the numerator 1 to get 7/2.

Multiplying Fractions and Fraction of a Set

To multiply fractions, multiply the numerators, multiply the denominators, and simplify. A whole number works as that number over 1, so 3 x 2/5 is the same as 3/1 x 2/5.

  • 3 x 2/5 = 6/5 = 1 1/5
  • 4 x 3/8 = 12/8 = 1 1/2
  • 1/2 x 3/4 = 3/8
  • 2/3 x 3/5 = 6/15 = 2/5
  • 3/4 of 12 = 9
  • 2/5 of 20 = 8

For 3/4 of 12, split 12 into 4 equal groups of 3 and take 3 of the groups: 3 x 3 = 9. Drawing the dots on a blank grid makes the groups easy to see.

Dividing Fractions

To divide by a fraction, multiply by its reciprocal, which is the fraction turned upside down. Dividing by a whole number works the same way, since 4 becomes 1/4.

  • 1/2 ÷ 4 = 1/8
  • 3 ÷ 1/4 = 12
  • 2/3 ÷ 1/6 = 4
  • 3/4 ÷ 1/2 = 3/2 = 1 1/2

The problem 3 ÷ 1/4 asks how many fourths fit in 3 wholes. Each whole holds 4 fourths, so the answer is 3 x 4 = 12. A drawing of three bars cut into fourths shows this before you teach the flip rule.

Fractions and Decimals

A fraction becomes a decimal when you divide the numerator by the denominator or rewrite the fraction over 10 or 100. For example, 1/4 = 25/100, which is 0.25.

  • 1/2 = 0.5
  • 1/4 = 0.25
  • 3/4 = 0.75
  • 1/5 = 0.2
  • 1/10 = 0.1

A place value chart shows where tenths and hundredths sit, so students can read 0.25 as 25 hundredths.

Parts of Good Fraction Worksheets

A good fraction sheet covers one skill, starts with a picture, and ends with an answer key. The counts below are judgment calls from the guides we publish here. This page does not cite research, and the right mix depends on the class.

  • A visual before symbols. Put a fraction bar or number line on the first two or three rows, then move to problems written only in numbers.
  • 8 to 12 problems for one skill. One skill per page lets you see which step a student missed.
  • Fill-in rows plus one or two word problems. A word problem such as finding 3/4 of 12 crayons asks students to choose the operation themselves.
  • Space to show work. Unlike-denominator problems need room for the rewritten fractions, so leave two lines under each one.
  • An answer key on a separate page. Students can check their own work after they finish without seeing answers while they solve.
  • One find-the-mistake row. Print a wrong worked answer, such as 1/2 + 1/3 = 2/5, and ask students to fix it.

Common Fraction Errors to Watch For

Four errors are worth planning for on any fraction sheet, and each one has a quick check students can learn.

  • Adding across. A student who writes 1/2 + 1/3 = 2/5 added the numerators and then the denominators. The correct answer is 5/6, from 3/6 + 2/6. Students can catch this on their own: 2/5 equals 4/10, which is less than 1/2, so that sum would be smaller than one of the numbers being added.
  • Comparing by the denominator alone. A student who picks 1/4 as larger than 1/3 because 4 is bigger than 3 has the comparison backward. Fourths are smaller pieces than thirds, so 1/4 < 1/3. When the numerators differ too, as with 2/3 and 3/5, rewrite both as fifteenths: 10/15 > 9/15.
  • Skipping the simplify step. The answer 7/9 - 4/9 = 3/9 is correct but unfinished, because 3/9 simplifies to 1/3. Write on the sheet whether an unsimplified answer earns full credit, so students know the rule before they start.
  • Dropping a step in mixed-number conversion. To turn 2 1/3 into an improper fraction, multiply 2 x 3 = 6, then add the numerator 1 to get 7/3.

Building Fraction Worksheets with Chalkbox Templates

Chalkbox does not generate fraction problems, so to print a fraction sheet, copy the sample problems above onto a blank template. The math worksheet generator makes addition, subtraction, multiplication and division worksheets with answer keys, and those use whole numbers only.

  1. Open the blank worksheet templates and pick the blank grid or the lined practice template.
  2. Print it from the browser.
  3. Write 8 to 12 problems from one skill section above, leaving the answers blank.
  4. Write the same problems with answers on a second copy to use as the answer key.
  5. Slide the student sheet into a clear sheet protector if you want students to reuse it with dry-erase markers.

For fraction vocabulary, type a word-and-definition list into the vocabulary worksheet generator to get matching and fill-in-the-blank sheets. Here is a starter list:

  • Numerator: the top number, which counts the parts you have.
  • Denominator: the bottom number, which tells how many equal parts make one whole.
  • Equivalent fractions: fractions that name the same amount, such as 1/2 and 2/4.
  • Improper fraction: a fraction whose numerator is equal to or larger than its denominator, such as 7/4.
  • Mixed number: a whole number plus a fraction, such as 1 3/4.

A longer fraction vocabulary list also works in the bingo card generator for a review game. The guide on how to turn a worksheet into a game has more formats. Every Chalkbox tool runs in the browser with no account, and nothing you type is stored on Chalkbox servers.

Chalkbox Tools Compared for a Fraction Unit

CriteriaBlank Grid TemplateLined Practice TemplateVocabulary Worksheet GeneratorMath Worksheet Generator
What it printsA blank grid you fill in by handBlank lines you fill in by handMatching and fill-in-the-blank sheets from a word list you typeWhole-number addition, subtraction, multiplication and division with answer keys
Fraction contentAny problem from this pageAny problem from this pageFraction vocabulary termsNone
Best fit in a fraction unitComputation sheetsWord problems with written answersFraction vocabularyWhole-number fact practice
VerdictFirst pick for computation sheetsPick for word-problem pagesFraction vocabulary sheetsWhole-number practice only

Choose the blank grid for computation sheets. Choose the lined template for word problems. Use the math worksheet generator for multiplication fact warm-ups, and the guide to fun ways to practice math facts adds games for the same facts.

Limits of Printed Fraction Sheets

A printed fraction sheet is the wrong next step for a student who cannot yet split a shape into equal parts. Step that student back to the grades 1 to 2 tasks. Fold paper strips into halves and fourths, shade the parts, and name them out loud before writing any symbols.

Chalkbox also does not fit a teacher who wants a fresh random set of fraction problems with an automatic answer key each day, because the Chalkbox math worksheet generator does not make fraction problems. Make a second version by hand instead. Blank a different number in each equivalence chain, or swap the order of the problems.

Two conditions would change this advice. If the math worksheet generator added fraction problems, we would point you there before the blank templates. If the standards your school follows place a skill in a different grade from the table, follow the standards and move the row.

Pick the skill from the grade table that matches this week's unit. Copy four of its problems onto a blank sheet to start this week's fraction worksheets.

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Frequently asked questions

What fraction skills are taught in each grade?

In a common United States progression, grades 1 to 2 split shapes into halves, thirds and fourths, and grade 3 names fractions and compares them on a number line. Grade 4 adds equivalent fractions and adding fractions with like denominators. Grade 5 adds unlike denominators and multiplying a fraction by a whole number, and grade 6 adds fraction division. The grade for each skill varies by state and country, so match the plan to the standards your school follows.

How do I add fractions with unlike denominators?

Rewrite both fractions over a common denominator, add the numerators, and keep the new denominator. For 1/4 + 2/3, use 12 as the common denominator: 1/4 = 3/12 and 2/3 = 8/12, so the sum is 11/12. Simplify the answer when you can.

How do I make a fraction worksheet?

Print a blank grid or lined template from the Chalkbox worksheet templates page, then copy 8 to 12 problems for one skill from the sample lists on this page. Write a second copy with the answers to use as the answer key. The Chalkbox math worksheet generator makes whole-number worksheets only, so it will not produce fraction problems.

What are equivalent fractions?

Equivalent fractions are fractions that name the same amount with different numbers. For example, 1/2 = 2/4 = 3/6 = 4/8, because each one marks the same point on a number line. You make one by multiplying or dividing the numerator and the denominator by the same number.

How many problems should a fraction worksheet have?

A starting point is 8 to 12 problems on one skill. That count is a judgment call from the guides we publish here, and this page does not cite research for it. Cut the count if students need more room to draw fraction bars or show common-denominator steps.

How do I compare fractions with different denominators?

Rewrite both fractions over a common denominator, then compare the numerators. For 5/6 and 3/4, use twelfths: 5/6 = 10/12 and 3/4 = 9/12, so 5/6 > 3/4. When the numerators already match, as with 1/4 and 1/3, the smaller denominator means bigger pieces, so 1/4 < 1/3.