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Dividing Fractions Worksheet

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Dividing Fractions Worksheet

Use the division rule for fractions to divide. Simplify each answer and show your working where asked.

Fractions and the division rule

1.What fraction has a product of 1 when multiplied by 5/8?
  • 8/5
  • 5/8
  • 3/8
  • 1/8
2.Choose the fraction that has a product of 1 when multiplied by 7/3.
  • 3/7
  • 7/3
  • 4/3
  • 1/3
3.Complete the rule: dividing by a non-zero fraction is equivalent to multiplying by its .
4.A bar is divided into eighths, and six eighths are shaded. How many 1/8-sized pieces fit into the shaded part?

Divide and simplify

5.Calculate 2/3 ÷ 5/7. Rewrite the division as multiplication by the corresponding fraction, then simplify.
6.Work out 7/10 ÷ 1/5. Show the multiplication step.
7.Find 9/14 ÷ 3/7. Give your answer in simplest form.
8.Calculate 4 ÷ 2/9.
9.Work out 5/12 ÷ 3. Write the answer as a simplified fraction.
10.Calculate 1 1/4 ÷ 5/6. Convert the mixed number to an improper fraction before dividing.
11.A recipe uses 2/3 of a kilogram of oats for one batch. How many batches can be made with 2 1/3 kg of oats?
12.A length of rope is 3 3/4 m long. Each section cut from it is 3/8 m long. How many sections can be cut?
13.A tank contains 5/6 of a litre of water. Each small bottle holds 1/12 of a litre. How many bottles can be filled completely?
14.Explain why dividing by 4/7 gives the same result as multiplying by 7/4. Include a numerical example to support your explanation.

3 printable pages

  • Flipped fractions, the division rule, and matching inverse pairs.

    Page 1

  • Rewriting and calculating fraction division, including mixed and whole numbers.

    Page 2

  • Applying fraction division to measurement problems and explaining the inverse rule.

    Page 3

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