Mixed Number Multiplication Worksheet Maker for Grades 5 and 6

Pick a step under Sheet type, press Make a new sheet for new mixed numbers, then press Print.

12 problems. Two mixed numbers, simplify the answer. Sheet 4WBQVH, with its answer key.

Two mixed numbers, simplify the answer

Name Date Score / 12

Multiply. Turn each mixed number into a fraction first. Write each answer in lowest terms, and as a mixed number when it is 1 or more.

  1. 1.423 × 378 = ________
  2. 2.418 × 256 = ________
  3. 3.225 × 4110 = ________
  4. 4.423 × 256 = ________
  5. 5.356 × 113 = ________
  6. 6.356 × 112 = ________
  7. 7.1710 × 115 = ________
  8. 8.4910 × 315 = ________
  9. 9.256 × 118 = ________
  10. 10.138 × 115 = ________
  11. 11.223 × 178 = _____
  12. 12.212 × 445 = _____

Sheet 4WBQVH · Made at homeroomtools.com

Answer key. Two mixed numbers, simplify the answer

  1. 1.423 × 378 = 143 × 318 = 43424= 21712 (top and bottom ÷ 2) = 18112
  2. 2.418 × 256 = 338 × 176 = 56148= 18716 (top and bottom ÷ 3) = 111116
  3. 3.225 × 4110 = 125 × 4110 = 49250= 24625 (top and bottom ÷ 2) = 92125
  4. 4.423 × 256 = 143 × 176 = 23818= 1199 (top and bottom ÷ 2) = 1329
  5. 5.356 × 113 = 236 × 43 = 9218= 469 (top and bottom ÷ 2) = 519
  6. 6.356 × 112 = 236 × 32 = 6912= 234 (top and bottom ÷ 3) = 534
  7. 7.1710 × 115 = 1710 × 65 = 10250= 5125 (top and bottom ÷ 2) = 2125
  8. 8.4910 × 315 = 4910 × 165 = 78450= 39225 (top and bottom ÷ 2) = 151725
  9. 9.256 × 118 = 176 × 98 = 15348= 5116 (top and bottom ÷ 3) = 3316
  10. 10.138 × 115 = 118 × 65 = 6640= 3320 (top and bottom ÷ 2) = 11320
  11. 11.223 × 178 = 83 × 158 = 12024= 5 (top and bottom ÷ 24)
  12. 12.212 × 445 = 52 × 245 = 12010= 12 (top and bottom ÷ 10)

Sheet 4WBQVH · Made at homeroomtools.com

Next step Practice converting on its own pageMake a whole-number practice sheet

How it works

Build a mixed number multiplication worksheet for the step your class is on, from 6 × 2 1/2 = 15 to 4 2/3 × 2 1/4 with canceling. It opens on two mixed numbers, with all four steps in the key.

Read the full guide

Two sound methods and one common mistake

Convert to improper fractions, then multiply across: 1 1/2 × 2 1/3 = 3/2 × 7/3 = 21/6 = 7/2 = 3 1/2. Or treat a mixed number as a sum and multiply each part: 3 × 2 1/4 = 3 × 2 + 3 × 1/4 = 6 3/4. The common mistake is half of the second method: whole times whole and fraction times fraction. Then 2 1/2 × 1 1/3 turns into 2 1/6 when the product is 3 1/3.

What the key shows

On most sheets the key converts, multiplies across, names the common factor it divides out and writes the mixed number. Neither standards text mentions lowest terms, so you decide whether 21/6 or 3 1/2 is the finished answer.

  • Start with Mixed number × whole number, whole-number answers: pupils practice converting and nothing else gets in the way.
  • Print Two mixed numbers, whole-number answers for pupils who expect a fraction in every answer: 1 1/2 × 2 2/3 = 4.
  • Missing mixed number factor is a bridge to dividing fractions: the key names the division that finds each factor.

Questions and answers

Do you have to change mixed numbers to improper fractions to multiply?

No, but it always works. Splitting is quick when one factor is whole: 4 × 2 2/3 = 8 + 8/3 = 10 2/3. With two mixed numbers, splitting means four small products, and parts get lost. The keys on this page convert first.

Can you cancel before converting to improper fractions?

No. Canceling divides a numerator and a denominator by a shared factor, and 1 3/5 is a sum, not one fraction. Convert first: 1 3/5 × 2 1/4 = 8/5 × 9/4 = 2/5 × 9/1 = 18/5 = 3 3/5. Two mixed numbers, cancel first drills this order.

What grade is multiplying mixed numbers?

Grade 5 under the Common Core: 5.NF.6 asks for real world problems that multiply fractions and mixed numbers. Texas never says mixed number: the skill sits inside 6.3(E), multiplying positive rational numbers, in grade 6. With negative numbers it becomes grade 7 work in both.

All 12 sheet types

Mixed number × whole number 3

  • Mixed number × whole number, whole-number answers 6 × 2 1/2 = 6 × 5/2 = 30/2 = 15. The denominator always divides the whole number, so every answer is a whole number. Good for a first day: pupils practice converting and nothing else gets in the way.
  • Whole number × mixed number, cancel first 6 × 2 3/4 = 6 × 11/4 = 3 × 11/2 = 33/2 = 16 1/2. Write 6 as 6/1 and cancel the 2 shared by 6 and 4 before multiplying, so the numbers stay small.
  • Whole number × mixed number, convert first 5 × 1 3/4 = 5 × 7/4 = 35/4 = 8 3/4. Change the mixed number to an improper fraction, multiply the numerator by the whole number, then divide to get back to a mixed number.

Fraction × mixed number 2

  • Mixed number × fraction, cancel first 2 1/4 × 2/3 = 9/4 × 2/3 = 3/2 × 1/1 = 3/2 = 1 1/2. Convert, then cancel the 3 shared by 9 and 3 and the 2 shared by 2 and 4. The raw product would have been 18/12.
  • Proper fraction × mixed number 2/5 × 3 1/3 = 2/5 × 10/3 = 20/15 = 4/3 = 1 1/3. Only one number needs converting. The key shows the improper fraction, the raw product, lowest terms and the mixed number.
Show all 12 sheet types (7 more)

Mixed number × mixed number 6

  • Larger mixed numbers, cancel both pairs 4 2/3 × 2 1/4 = 14/3 × 9/4 = 7/1 × 3/2 = 21/2 = 10 1/2. Whole parts run up to 9, where canceling first saves real work: the raw product here is 126/12.
  • Three factors with a mixed number 1 1/2 × 2/3 × 2 1/2 = 3/2 × 2/3 × 5/2 = 30/12 = 5/2 = 2 1/2. Two mixed numbers and a proper fraction. Pupils who cancel the 2s and the 3s first reach 5/2 in one line.
  • Two mixed numbers, cancel first 1 3/5 × 2 1/4 = 8/5 × 9/4 = 2/5 × 9/1 = 18/5 = 3 3/5. Cancel the 4 shared by 8 and 4 after converting, never before: the 3 and 5 inside 1 3/5 are not factors of the whole number.
  • Two mixed numbers, no simplifying needed 1 1/2 × 1 1/4 = 3/2 × 5/4 = 15/8 = 1 7/8. Convert both, multiply across, write the mixed number. No product on this sheet has a common factor to divide out.
  • Two mixed numbers, simplify the answer 1 1/2 × 2 1/3 = 3/2 × 7/3 = 21/6 = 7/2 = 3 1/2. Every raw product has a common factor, so the key shows four steps: improper fractions, raw product, lowest terms with the factor divided out, mixed number.
  • Two mixed numbers, whole-number answers 1 1/2 × 2 2/3 = 3/2 × 8/3 = 24/6 = 4. Every product comes out whole. It unsettles pupils who expect a fraction in the answer because there were fractions in the question.

Find the mistake and review 1

  • Missing mixed number factor 1 1/2 × ? gives 3 1/2. Dividing the product by the factor you know finds it: 3 1/2 ÷ 1 1/2 = 7/2 × 2/3 = 14/6 = 7/3 = 2 1/3. The key prints the finished product and names that division. A bridge to dividing fractions in grade 6.

How this list was compiled: Own list of sheet types. Every worked example was checked with exact fraction arithmetic. Methods (changing a mixed number to an improper fraction, multiplying mixed numbers as sums) were checked against https://en.wikipedia.org/wiki/Fraction, and measuring cup sizes against https://en.wikipedia.org/wiki/Measuring_cup. 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 (5.NF.4, 5.NF.5, 5.NF.6, 6.NS.1, 7.NS.2); 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(A)) and https://tea.texas.gov/laws-and-rules/sboe-rules-tac/sboe-tac-currently-effect/ch111b.pdf (6.3(B), 6.3(E), 7.3(A)). Licence: own work

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