Multiplication Fractions Worksheets for Grades 4, 5 and 6

Pick a Sheet type, such as Cross-cancel one pair, press Make a new sheet for new fractions, then Print.

Sheet type

Problems

Answer key

12 problems. Proper fractions, simplify the answer. Sheet 4XWHCV, with its answer key.

Proper fractions, simplify the answer

Name Date Score / 12

Multiply. Write each answer as a fraction in lowest terms.

1. × = ________
2. × = ________
3. × = ________
4. × = ________
5. × = ________
6. × = ________
7. × = ________
8. × = ________
9. × = ________
10. × = ________
11. × = ________
12. × = ________

Sheet 4XWHCV · Made at homeroomtools.com

Answer key. Proper fractions, simplify the answer

1. × = = (top and bottom ÷ 3)
2. × = = (top and bottom ÷ 2)
3. × = = (top and bottom ÷ 3)
4. × = = (top and bottom ÷ 2)
5. × = = (top and bottom ÷ 2)
6. × = = (top and bottom ÷ 4)
7. × = = (top and bottom ÷ 3)
8. × = = (top and bottom ÷ 2)
9. × = = (top and bottom ÷ 3)
10. × = = (top and bottom ÷ 3)
11. × = = (top and bottom ÷ 15)
12. × = = (top and bottom ÷ 2)

Sheet 4XWHCV · Made at homeroomtools.com

Next step Add and subtract unlike fractions Warm up with a times tables sheet

How it works

Free multiplication fractions worksheets for the step your class is on, from 5 × 1/4 in grade 4 to cross-canceling 14/15 × 25/28. The first sheet multiplies two proper fractions and simplifies. Change it under Sheet type, and choose 12 to 40 under Problems.

Read the full guide

Which grade multiplies which fractions

Common Core 4.NF.4 covers a whole number times a fraction, such as 3 × 2/5 = 6/5. A footnote limits grade 4 to denominators 2, 3, 4, 5, 6, 8, 10, 12 and 100. Fraction times fraction comes in grade 5 (5.NF.4). Texas places each step a year later, in 5.3(I) and 6.3(E). The multiplying whole numbers and fractions worksheets, first in the menu, stay inside the grade 4 denominators.

Simplify after, or cancel first

Multiply the numerators, multiply the denominators: 2/3 × 3/5 = 6/15, and dividing both by 3 gives 2/5. Cross-canceling divides first, so 2/5 appears with nothing left to simplify. These fraction multiplication worksheets come three ways: no product needs simplifying, every product does, or pupils cancel first.

Start on Proper fractions, no simplifying needed, so pupils fix the rule before they have a second thing to remember.
Run Cancel or not? Mixed sheet before a test: pupils who cross out numbers sharing no factor show up.
Neither the Common Core nor Texas says lowest terms, so decide before marking whether 6/15 earns full marks.

Questions and answers

Is there a multiplying fractions worksheets PDF?

No file is stored here, because every sheet is made fresh. Print, or save as PDF from your browser's print window. For a multiplying fractions worksheets with answers PDF, keep page 2 when you save: it is the worked key.

Do these work as 6th grade multiplying fractions worksheets?

In Texas, yes: fluent multiplying of fractions is grade 6 standard 6.3(E). Under the Common Core it is grade 5 work, and grade 6 moves on to dividing fractions (6.NS.1). For grade 6 review, print Cross-canceling with larger numbers, Three fractions or Missing factor.

How do you multiply a whole number by a fraction?

Multiply the whole number by the numerator and keep the denominator: 3 × 2/5 = 6/5 = 1 1/5. Writing 3 as 3/1 shows why. Whole numbers as fractions has sheets for that step alone.

Why is the product smaller than the number I started with?

A fraction less than 1 takes part of the other number, so 5/6 × 12 = 10. A fraction greater than 1 stretches it: 7/4 × 12 = 21. Common Core 5.NF.5 and Texas 6.3(B) ask pupils to judge this without computing.

All 19 sheet types

Fraction × whole number 5

Whole number × fraction 3 × 2/5 = 6/5 = 1 1/5. Multiply the whole number by the numerator and keep the denominator. The key gives both forms, since Common Core 4.NF.4 itself stops at 6/5.
Whole number × fraction with canceling 12 × 5/8 = 3 × 5/2 = 15/2 = 7 1/2. Write 12 as 12/1, cancel the 4 shared by 12 and 8, then multiply.
Whole number × fraction, simplify the answer 6 × 3/4 = 18/4 = 9/2 = 4 1/2. The raw product always has a common factor, so pupils simplify before they write the mixed number.
Whole number × fraction, whole-number answers 6 × 2/3 = 12/3 = 4. The denominator always divides the whole number, so every answer is a whole number. A calm first sheet.
Whole number × unit fraction 5 × 1/4 = 5/4 = 1 1/4. Five copies of one fourth, the first step of Common Core 4.NF.4. Denominators are 2, 3, 4, 5, 6, 8, 10 and 12.

Show all 19 sheet types (14 more)

Fraction × fraction 6

Any two proper fractions 3/4 × 5/6 = 15/24 = 5/8. About half the products need simplifying and half do not, so pupils have to check every answer.
Improper fraction × fraction 5/4 × 2/3 = 10/12 = 5/6. One factor is greater than 1. Products above 1 are written as mixed numbers, as in 7/4 × 5/3 = 35/12 = 2 11/12.
Proper fractions, no simplifying needed 2/3 × 4/5 = 8/15. Multiply the numerators, multiply the denominators. Every product is already in lowest terms, so the sheet practices the rule and nothing else.
Proper fractions, simplify the answer 2/3 × 3/5 = 6/15 = 2/5. Every raw product has a common factor. The key shows the raw product, the factor divided out and the answer in lowest terms.
Unit fraction × proper fraction 1/2 × 3/5 = 3/10. Half of three fifths. The numerator stays and the denominator grows, a useful stop before two non-unit fractions.
Unit fraction × unit fraction 1/3 × 1/4 = 1/12. One third of one fourth. Only the denominators change, so pupils see why the product is smaller than both factors.

Cross-canceling 4

Cancel or not? Mixed sheet 2/5 × 3/7 = 6/35 has nothing to cancel, while 2/5 × 5/7 = 2/7 does. Half of the problems cancel, so pupils look before they multiply.
Cross-cancel both pairs 4/9 × 3/8 = 1/3 × 1/2 = 1/6. Both diagonals cancel: 4 with 8, and 3 with 9.
Cross-cancel one pair 3/4 × 5/9 = 1/4 × 5/3 = 5/12. One numerator shares a factor with the opposite denominator. Divide both by it first and the product needs no simplifying.
Cross-canceling with larger numbers 14/15 × 25/28 = 1/3 × 5/2 = 5/6. Numerators and denominators run up to 36, where canceling first saves real work: the raw product here is 350/420.

Three factors and missing factors 3

Missing factor 2/3 × ? = 8/15, so the missing factor is 4/5. Ask what times 2 makes 8 and what times 3 makes 15. A lead-in to dividing fractions.
Three fractions 1/2 × 2/3 × 3/4 = 6/24 = 1/4. Three factors in a row. Canceling first turns this one into 1/4 with no multiplying at all.
Two fractions and a whole number 2/3 × 3/4 × 6 = 36/12 = 3. Pupils write 6 as 6/1 and multiply straight across, or cancel first.

Word problems and review 1

Fraction × mixed number preview 2/3 × 1 1/2 = 2/3 × 3/2 = 1. Change the mixed number to an improper fraction, then multiply as usual. A short bridge to the mixed numbers page.

How this list was compiled: Own list of sheet types. Every worked example was checked with exact fraction arithmetic. Method wording (multiply the numerators and the denominators, cancellation, a whole number written over 1) was checked against https://en.wikipedia.org/wiki/Fraction. Standards were read in the full texts in September 2026: Common Core State Standards for Mathematics, https://learning.ccsso.org/wp-content/uploads/2022/11/Math_Standards1.pdf (4.NF.4, 5.NF.4, 5.NF.5, 5.NF.6, 6.NS.1); Texas Essential Knowledge and Skills, 19 TAC chapter 111, https://tea.texas.gov/laws-and-rules/sboe-rules-tac/sboe-tac-currently-effect/ch111a.pdf (5.3(I)) and https://tea.texas.gov/laws-and-rules/sboe-rules-tac/sboe-tac-currently-effect/ch111b.pdf (6.3(B), 6.3(E)). Licence: own work