Dividing fractions (unit fractions) · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Splitting a fraction into smaller pieces

Mathematics · Fractions · ages 10-11
Name ______________________   Date ____________

  1. What is 1/4 divided by 2? Give your answer as a decimal.

    Answer: ______________

  2. What is 1/2 divided by 2?

    • 1/2
    • 1
    • 1/4
    • 2

  3. What is 1/2 ÷ 2?

    • 1/4
    • 2/2
    • 1/1

  4. Dividing a fraction by a whole number always makes the answer smaller.

    Circle one:   True   False

  5. What is (1/5) divided by 4? Give your answer as a decimal.

    Answer: ______________

  6. A ribbon is 1/6 of a meter long. It is cut into 3 equal pieces. How long is each piece?

    • 1/18 m
    • 1/9 m
    • 1/3 m

  7. Lena shares 1/3 of a pizza equally among 3 friends. What fraction of the whole pizza does each friend get?

    • 1/6
    • 1/3
    • 1/12
    • 1/9

  8. Ella creates a story: 1/6 of a cake shared among 3 people gives each person 1/18 of the cake. Is Ella right?

    Circle one:   True   False

  9. Which multiplication check proves that 1/3 ÷ 4 = 1/12?

    • 1/12 ÷ 4 = 1/3
    • 1/12 × 4 = 1/3
    • 1/3 × 4 = 1/12

  10. What is (1/2) divided by 5?

    • 2/5
    • 1/10
    • 5/2
    • 1/7
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Answer key

For grown-ups. Fold this page away before handing over the rest.

Splitting a fraction into smaller pieces W1-mt_ifPDOYvUqm-s1

  1. 0.125 · The answer is 0.125 because 1/4 divided by 2 equals 1/8, which is 0.125.
  2. 1/4 · 1/4 is correct because half split into 2 equal parts gives quarters.
  3. 1/4 · Split 1/2 into 2 equal parts. The denominator doubles: 2 × 2 = 4, so the answer is 1/4.
  4. True · Splitting a piece into more pieces makes each new piece smaller than what you started with.
  5. 0.05 · The answer is 0.05 because (1/5) divided by 4 equals 1/20, which is 0.05.
  6. 1/18 m · Splitting 1/6 into 3 equal pieces gives eighteenths: 1/6 ÷ 3 = 1/18 of a meter.
  7. 1/9 · 1/9 is correct because 1/3 divided by 3 equals 1/9.
  8. True · Ella is right. (1/6) divided by 3 equals 1/18.
  9. 1/12 × 4 = 1/3 · Dividing and multiplying undo each other, so multiplying the answer by 4 should bring you back to 1/3: 1/12 × 4 = 4/12 = 1/3.
  10. 1/10 · 1/10 is correct because 1/2 times 1/5 equals 1/10.
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