Fraction Division and Multiplication Worksheets

Pick a division or multiplication sheet, press Make a new sheet, and print it with the key on page 2.

20 problems. Divide proper fractions: flip and multiply. Sheet A0VZPC, with its answer key.

Divide proper fractions: flip and multiply

Name Date Score / 20

Divide. Dividing by a number is the same as multiplying by its reciprocal. Write each answer in lowest terms, and as a mixed number when it is 1 or more.

  1. 1.45 ÷ 712 = ________
  2. 2.12 ÷ 78 = ________
  3. 3.310 ÷ 38 = ________
  4. 4.712 ÷ 47 = ________
  5. 5.27 ÷ 310 = ________
  6. 6.25 ÷ 56 = ________
  7. 7.15 ÷ 89 = ________
  8. 8.29 ÷ 310 = ________
  9. 9.16 ÷ 79 = ________
  10. 10.23 ÷ 59 = ________
  11. 11.19 ÷ 27 = ________
  12. 12.27 ÷ 35 = ________
  13. 13.23 ÷ 35 = ________
  14. 14.12 ÷ 49 = ________
  15. 15.45 ÷ 18 = ________
  16. 16.38 ÷ 13 = ________
  17. 17.37 ÷ 16 = ________
  18. 18.17 ÷ 45 = ________
  19. 19.37 ÷ 58 = ________
  20. 20.27 ÷ 19 = ________

Sheet A0VZPC · Made at homeroomtools.com

Answer key. Divide proper fractions: flip and multiply

  1. 1.45 ÷ 712 = 45 × 127 = 4835= 11335
  2. 2.12 ÷ 78 = 12 × 87 = 814= 47
  3. 3.310 ÷ 38 = 310 × 83 = 2430= 45
  4. 4.712 ÷ 47 = 712 × 74 = 4948= 1148
  5. 5.27 ÷ 310 = 27 × 103 = 2021
  6. 6.25 ÷ 56 = 25 × 65 = 1225
  7. 7.15 ÷ 89 = 15 × 98 = 940
  8. 8.29 ÷ 310 = 29 × 103 = 2027
  9. 9.16 ÷ 79 = 16 × 97 = 942= 314
  10. 10.23 ÷ 59 = 23 × 95 = 1815 = 65= 115
  11. 11.19 ÷ 27 = 19 × 72 = 718
  12. 12.27 ÷ 35 = 27 × 53 = 1021
  13. 13.23 ÷ 35 = 23 × 53 = 109= 119
  14. 14.12 ÷ 49 = 12 × 94 = 98 = 118
  15. 15.45 ÷ 18 = 45 × 81 = 325= 625
  16. 16.38 ÷ 13 = 38 × 31 = 98 = 118
  17. 17.37 ÷ 16 = 37 × 61 = 187= 247
  18. 18.17 ÷ 45 = 17 × 54 = 528
  19. 19.37 ÷ 58 = 37 × 85 = 2435
  20. 20.27 ÷ 19 = 27 × 91 = 187= 247

Sheet A0VZPC · Made at homeroomtools.com

Next step More fraction multiplication sheetsGo back to dividing by whole numbers

How it works

These fraction division and multiplication worksheets divide a fraction by a fraction, with two multiplying sheets beside them. Every division is solved by flipping the divisor and multiplying, and the key on page 2 shows each step.

Read the full guide

Flip the divisor, then multiply

2/3 ÷ 3/4 becomes 2/3 × 4/3 = 8/9. Start with Divide unit fractions: 1/2 ÷ 1/4, where 2 quarters in a half checks the rule. Divide by a unit fraction: 3/4 ÷ 1/8 shows why the answer can be larger than either fraction.

Cancel after the flip

Cancel only once the divisor is flipped: 2/3 ÷ 4/5 is 2/3 × 5/4, and the 2 and 4 share a 2. Flip, then cancel both pairs keeps the numbers small, and the mixed sheet asks whether canceling applies at all.

  • A pupil who flips the first fraction instead of the second gets the reciprocal of the right answer: 9/8 for 8/9.

Questions and answers

What grade learns multiplying and dividing fractions?

In Common Core states, grade 5 multiplies fractions and divides unit fractions by whole numbers and the reverse. Dividing a fraction by a fraction is grade 6.

How do you divide fractions?

Keep the first fraction, flip the second, and multiply: 3/4 ÷ 1/8 = 3/4 × 8/1 = 24/4 = 6. Dividing by a number is the same as multiplying by its reciprocal.

Is there a multiplying and dividing fractions worksheets PDF?

Press Print, or save as PDF from your browser's print window. The sheet is page 1 and the key page 2, and Make a new sheet deals new fractions for the next copy.

All 9 sheet types

Dividing fractions 4

  • Divide by a unit fraction: 3/4 ÷ 1/8 3/4 ÷ 1/8 = 3/4 × 8/1 = 24/4 = 6. Dividing by 1/8 asks how many eighths fit, so the answer is larger than 3/4.
  • Divide proper fractions: flip and multiply 2/3 ÷ 3/4 = 2/3 × 4/3 = 8/9. The key shows the flipped divisor, the product and the lowest terms.
  • Divide unit fractions: 1/2 ÷ 1/4 1/2 ÷ 1/4 = 1/2 × 4/1 = 4/2 = 2. Flip the second fraction, then multiply: there are 2 quarters in a half.
  • Improper fraction ÷ proper fraction 7/4 ÷ 1/2 = 7/4 × 2/1 = 14/4 = 3 1/2. Write the answer as a mixed number in lowest terms.

Dividing with canceling 3

  • Cancel after flipping, or not? Mixed division Some quotients cancel after the flip and some do not: 1/5 ÷ 2/3 = 1/5 × 3/2 = 3/10 has nothing to cancel.
  • Flip, then cancel both pairs 3/4 ÷ 9/10 = 3/4 × 10/9. Cancel 3 with 9 and 4 with 10: 1/2 × 5/3 = 5/6.
  • Flip, then cancel one pair 2/3 ÷ 4/5 = 2/3 × 5/4. The 2 and the 4 share a factor of 2, so it becomes 1/3 × 5/2 = 5/6.

Multiplying fractions 2

  • Multiply proper fractions, halves to ninths 3/4 × 2/3 = 6/12 = 1/2. Multiply the tops, multiply the bottoms, then put the answer in lowest terms.
  • Multiply with canceling, fifths to tenths 5/6 × 3/10 = 1/2 × 1/2 = 1/4 after canceling 5 with 10 and 3 with 6. It is the same move as in the division sheets, one step earlier.

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