Multiplying fractions (age 10+) · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Multiplying a fraction by a fraction

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

  1. An area model shows a rectangle split into 3 rows and 5 columns. How many small equal parts fill the whole rectangle?

    Answer: ______________

  2. What is (2/3) x (4/5)?

    • 8/15
    • 6/8
    • 8/5
    • 2/5

  3. Multiply straight across: 1/2 x 1/3 = ?

    • 1/5
    • 1/6
    • 1/2

  4. When you multiply two fractions, you multiply the numerators together and the denominators together.

    Circle one:   True   False

  5. What is (3/4) x 8?

    Answer: ______________

  6. What is 6/12 written in simplest form?

    • 1/2
    • 3/6
    • 2/4

  7. What is (2/3) x 4 written as a mixed number?

    • 2 2/3
    • 8/12
    • 2 1/3
    • 3 2/3

  8. What is (5/6) x (3/10) in simplest form?

    • 1/4
    • 15/60
    • 1/2
    • 3/4

  9. True or false: (5/6) x (3/5) = 1/2 in simplest form.

    Circle one:   True   False

  10. What is 2/3 x 4?

    • 8/12
    • 6/3
    • 2 2/3
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Answer key

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

Multiplying a fraction by a fraction W1-mt_AabJisinfi-s1

  1. 15 · The rectangle has 3 rows and 5 columns, so it holds 3 x 5 = 15 small parts. Each part is 1/15 of the whole.
  2. 8/15 · Multiply the tops: 2 x 4 = 8. Multiply the bottoms: 3 x 5 = 15. The product is 8/15.
  3. 1/6 · Multiply the tops (1 x 1 = 1) and the bottoms (2 x 3 = 6) to get 1/6.
  4. True · That is the rule: tops together, bottoms together.
  5. 6 · (3/4) x 8 = 24/4, and 24 divided by 4 is 6.
  6. 1/2 · Divide the top and bottom by 6 to get 1/2. 3/6 and 2/4 equal the same value but are not fully simplified.
  7. 2 2/3 · (2/3) x 4 = 8/3. Since 8 = 3 + 3 + 2, that is two wholes and 2/3 left over, so 2 2/3.
  8. 1/4 · (5/6) x (3/10) = 15/60, and 15/60 simplifies to 1/4.
  9. True · (5/6) x (3/5) = 15/30, and 15/30 simplifies to 1/2.
  10. 2 2/3 · 2/3 x 4 = 8/3, which is the same as 2 whole ones and 2/3 left over.
Worksheet · LightMySky