Dividing Fractions Worksheet

Press Print for 12 fraction ÷ fraction problems with a worked key, or pick another step under Sheet type.

12 problems. Fraction ÷ fraction, denominators to 6. Sheet CDHDEF, with its answer key.

Fraction ÷ fraction, denominators to 6

Name Date Score / 12

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. 1.16 ÷ 56 = ________
  2. 2.35 ÷ 15 = _____
  3. 3.45 ÷ 16 = ________
  4. 4.34 ÷ 16 = ________
  5. 5.13 ÷ 56 = ________
  6. 6.25 ÷ 23 = ________
  7. 7.34 ÷ 25 = ________
  8. 8.34 ÷ 15 = ________
  9. 9.45 ÷ 12 = ________
  10. 10.23 ÷ 16 = _____
  11. 11.56 ÷ 45 = ________
  12. 12.16 ÷ 23 = ________

Sheet CDHDEF · Made at homeroomtools.com

Answer key. Fraction ÷ fraction, denominators to 6

  1. 1.16 ÷ 56 = 16 × 65 = 630= 15
  2. 2.35 ÷ 15 = 35 × 51 = 155= 3
  3. 3.45 ÷ 16 = 45 × 61 = 245= 445
  4. 4.34 ÷ 16 = 34 × 61 = 184 = 92= 412
  5. 5.13 ÷ 56 = 13 × 65 = 615= 25
  6. 6.25 ÷ 23 = 25 × 32 = 610= 35
  7. 7.34 ÷ 25 = 34 × 52 = 158= 178
  8. 8.34 ÷ 15 = 34 × 51 = 154= 334
  9. 9.45 ÷ 12 = 45 × 21 = 85 = 135
  10. 10.23 ÷ 16 = 23 × 61 = 123= 4
  11. 11.56 ÷ 45 = 56 × 54 = 2524= 1124
  12. 12.16 ÷ 23 = 16 × 32 = 312= 14

Sheet CDHDEF · Made at homeroomtools.com

Next step Cancel after the flipPractice lowest terms

How it works

This dividing fractions worksheet opens on a fraction divided by a fraction with denominators to 6. Other sheets start a step earlier, with a whole number divided by a unit fraction, or go on to improper fractions.

Read the full guide

Grade 5 step, grade 6 skill

Common Core grade 5 divides a whole number by a unit fraction, 4 ÷ 1/3 = 12 (5.NF.7): the sheet How many thirds are in 4? A footnote there says a fraction divided by a fraction is not required that year. It comes in grade 6 (6.NS.1), the standard the fraction ÷ fraction sheets practice.

What the key shows

Every sheet flips the divisor and multiplies: 2/3 ÷ 1/4 = 2/3 × 4/1 = 8/3 = 2 2/3. The key prints the flip and the product, then the lowest terms and the mixed number where the sheet asks for them. Answers just as they come out is the divide fractions worksheet for a class that has not met lowest terms: its key leaves the product unreduced.

  • Quotients that are whole numbers can be checked by counting: two pieces of 3/8 make 3/4.
  • Nothing to reduce after the flip tests the flip alone, so a wrong answer there is a wrong flip.

Questions and answers

How do you divide fractions step by step?

Keep the first fraction, turn the second upside down and multiply: 5/6 ÷ 2/3 = 5/6 × 3/2 = 15/12 = 5/4 = 1 1/4. The key prints those steps for every problem.

Is there a dividing fractions worksheet PDF?

No file is stored, because each sheet is made new. Press Print, or save as PDF from your browser's print window. Page 2 is the key, so the saved file is a dividing fractions worksheet with answers.

Is this a dividing fractions worksheet for 6th grade or 7th grade?

Grade 6: Common Core standard 6.NS.1 is dividing a fraction by a fraction. Grade 7 extends division to negative numbers, which no sheet here prints, so there these sheets are review.

Why is the answer bigger than the number I divided?

Dividing by a fraction below 1 counts how many of those pieces fit, so 3/4 ÷ 1/8 = 6. Dividing by a fraction above 1 gives less: 2/3 ÷ 5/4 = 8/15.

All 14 sheet types

A fraction ÷ a fraction 5

  • Every quotient needs reducing 4/9 ÷ 2/3 = 4/9 × 3/2 = 12/18 = 2/3. Each product shares a factor top and bottom, and the key names the lowest terms.
  • Fraction ÷ fraction, denominators 7 to 12 5/12 ÷ 7/10 = 5/12 × 10/7 = 50/84 = 25/42. The same rule with larger numbers; many of the products need reducing.
  • Fraction ÷ fraction, denominators to 6 2/3 ÷ 1/4 = 2/3 × 4/1 = 8/3 = 2 2/3. Keep the first fraction, flip the second, multiply. Small denominators keep the products small.
  • Nothing to reduce after the flip 3/5 ÷ 2/3 = 3/5 × 3/2 = 9/10. Every product is already in lowest terms, so the sheet tests the flip alone.
  • Quotients that are whole numbers: 3/4 ÷ 3/8 3/4 ÷ 3/8 = 3/4 × 8/3 = 24/12 = 2. Two pieces of three eighths make three fourths. Every answer is a whole number, a quick check of the rule.

A whole number ÷ a fraction 2

  • 6 ÷ 3/4: how many three-fourths fit? 6 ÷ 3/4 = 6 × 4/3 = 24/3 = 8. Eight pieces of three fourths fit in 6. Some answers on this sheet are mixed numbers.
  • How many thirds are in 4? 4 ÷ 1/3 = 4 × 3 = 12. There are 3 thirds in every whole, so 4 wholes hold 12 of them. Common Core places this step in grade 5.
Show all 14 sheet types (7 more)

Unit fractions 3

  • A unit fraction comes first: 1/2 ÷ 3/4 1/2 ÷ 3/4 = 1/2 × 4/3 = 4/6 = 2/3. Less than one piece of three fourths fits in a half, so this answer is below 1.
  • Unit ÷ unit, halves to sixths: 1/2 ÷ 1/6 1/2 ÷ 1/6 = 1/2 × 6/1 = 6/2 = 3. Three sixths fit in a half. Only the denominators 2, 3, 4, 5 and 6 appear.
  • Unit ÷ unit: 1/3 ÷ 1/12 = 4 1/3 ÷ 1/12 = 1/3 × 12/1 = 12/3 = 4. The second denominator is a multiple of the first, so every answer is a whole number.

Improper fractions and answer forms 4

  • Answers just as they come out 3/8 ÷ 3/4 = 3/8 × 4/3 = 12/24. The key prints 12/24 and does not reduce it, for a class that is practicing the flip alone. A product equal to a whole number is written as that number.
  • Dividing by a fraction above 1: 2/3 ÷ 5/4 2/3 ÷ 5/4 = 2/3 × 4/5 = 8/15. Dividing by a number greater than 1 gives an answer smaller than 2/3.
  • Improper ÷ improper: 7/4 ÷ 3/2 7/4 ÷ 3/2 = 7/4 × 2/3 = 14/12 = 7/6 = 1 1/6. Both fractions are greater than 1, and the rule does not change.
  • Quotients above 1 stay as fractions 5/6 ÷ 2/3 = 5/6 × 3/2 = 15/12 = 5/4. The answer stays 5/4 in lowest terms and is not turned into a mixed number.

How this list was compiled: Own list of sheet types, written October 2026. Every worked example was checked with exact fraction arithmetic. That dividing by a fraction is the same as multiplying by its reciprocal was checked against https://en.wikipedia.org/wiki/Fraction . Grade placements were read in October 2026 in the Common Core State Standards for Mathematics, https://learning.ccsso.org/wp-content/uploads/2022/11/Math_Standards1.pdf (5.NF.7 with its footnote that dividing a fraction by a fraction is not required in grade 5, and 6.NS.1). Licence: own work

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