Fractions of a whole (age 9+) · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Multiplying a fraction by a whole number

Mathematics · Fractions · ages 9-10
Name ______________________   Date ____________

  1. Each ribbon piece is 2/5 metre. What is the total length of 3 pieces?

    • 6/5 metres
    • 6/15 metres
    • 2/15 metres

  2. A number line goes from 0 to 5 and is split into 5 equal jumps. What is 4/5 x 5?

    • 4
    • 5
    • 9
    • 1/4

  3. A ribbon is cut into pieces that are each 2/3 of a metre long. How long are 4 pieces altogether?

    • 8/3 metres, which is 2 2/3 metres
    • 6/12 of a metre
    • 8/12 of a metre
    • 2 1/3 metres

  4. A recipe uses 1/4 cup of oil for each batch. Which equation finds the oil needed for 5 batches?

    • 5 x 1/4
    • 5 + 1/4
    • 1/4 divided by 5

  5. A juice recipe needs 2/3 cup of syrup for each jug. How much syrup is needed for 5 jugs?

    • 10/3 cups
    • 10/15 cups
    • 2/15 cups

  6. Between which two whole numbers does 5 x 2/3 lie?

    • 1 and 2
    • 2 and 3
    • 3 and 4
    • 5 and 6

  7. 4 x 2/3 means the same as adding 2/3 four times.

    Circle one:   True   False

  8. Between which two whole numbers does 6 x 3/4 lie?

    • 3 and 4
    • 4 and 5
    • 5 and 6
    • 6 and 7

  9. Between which two whole numbers does 6 x 3/4 lie?

    • 3 and 4
    • 4 and 5
    • 5 and 6

  10. Omar says 4 x 5/6 must be bigger than 4, since he is multiplying. Is Omar correct?

    • Yes, multiplying always makes numbers bigger
    • No, 5/6 is less than 1, so the answer is a bit less than 4
    • No, you should add instead of multiply
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Answer key

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

Multiplying a fraction by a whole number W1-mt_HJA2Oz-Zh1-s1

  1. 6/5 metres · 3 x 2/5 = 6/5. Only the top number is multiplied by 3; the bottom number stays 5.
  2. 4 · 4/5 of the line covers 4 of the 5 jumps, and 4/5 x 5 equals 4.
  3. 8/3 metres, which is 2 2/3 metres · 4 times 2/3 is 8/3, which is 2 2/3 metres.
  4. 5 x 1/4 · Five batches means five equal groups of 1/4, so you multiply: 5 x 1/4.
  5. 10/3 cups · 5 x 2/3 = 10/3, the same as 3 whole cups and 1/3 cup left over.
  6. 3 and 4 · 5 x 2/3 is 10/3, which is 3 1/3, so it lies between 3 and 4.
  7. True · Multiplying by 4 means 4 equal groups, so both give 8/3.
  8. 4 and 5 · 6 x 3/4 is 9/2, which is 4 1/2, so it lies between 4 and 5.
  9. 4 and 5 · 6 x 3/4 = 18/4 = 4 and 1/2, which sits between 4 and 5.
  10. No, 5/6 is less than 1, so the answer is a bit less than 4 · 4 x 5/6 = 20/6 = 3 and 1/3, which is less than 4. Multiplying by a fraction under 1 gives a smaller result.
Worksheet · LightMySky