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

Multiplying fractions by whole numbers

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

  1. 3 × 3/4 = 9/4. After making two wholes, what fraction part remains?

    • 3/4
    • 2/4
    • 4/9
    • 1/4

  2. Is 3 × 1/8 less than, equal to, or greater than one whole?

    • Greater than one whole
    • Less than one whole
    • Equal to one whole
    • Equal to three wholes

  3. Find 6 × 2/3. Give a whole-number answer.

    Answer: ______________

  4. Which single fraction equals the mixed number 2 1/3?

    • 6/3
    • 5/3
    • 7/3

  5. A pizza slice is 1/4 of a pizza. If you take 5 slices, how many pizzas is that, as a fraction?

    1/41/41/41/41/4
    • 5/5
    • 5/4
    • 1/5

  6. Which number-line task models 7 × 1/4?

    • Start at 0; take 7 quarter-hops.
    • Start at 1; take 7 quarter-hops.
    • Start at 0; take 4 seventh-hops.
    • Start at 0; take 7 whole-hops.

  7. Each batch needs 1 1/2 cups of flour. How many complete batches use exactly 6 cups?

    Answer: ______________

  8. Which calculation counts all the thirds in 2 2/3 × 3?

    • (2 × 3) + 2
    • (2 + 2) × 3
    • (2 × 3 + 2) × 3
    • (2 × 3 + 2) + 3

  9. Nora says 5 × 2/7 = 10/35, because she multiplied both the top and bottom number by 5. What is her mistake?

    • She should only multiply the bottom number, giving 2/35
    • She multiplied correctly
    • She should only multiply the top number, giving 10/7

  10. A recipe needs 1 1/2 cups of flour per batch. How many cups of flour are needed for 4 batches? Type your answer as a whole number.

    Answer: ______________

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Answer key

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

Multiplying fractions by whole numbers W1-mt_TgHxujL81r-s1

  1. 1/4 · Two wholes use eight quarters. The ninth quarter remains.
  2. Less than one whole · Three eighths use only three of the eight parts needed for a whole.
  3. 4 · Six groups of two thirds contain twelve thirds, which fill four wholes.
  4. 7/3 · 2 wholes contain 6 thirds, or 6/3. Add the extra 1/3 to get 7/3.
  5. 5/4 · Five quarters written together make 5/4, which is more than one whole pizza.
  6. Start at 0; take 7 quarter-hops. · Seven groups of one quarter require seven quarter-sized hops from zero.
  7. 4 · Each batch uses three half-cups. Six cups contain twelve half-cups, enough for four batches.
  8. (2 × 3 + 2) × 3 · Each mixed-number group contains eight thirds. Three groups contain three times that count.
  9. She should only multiply the top number, giving 10/7 · Only the top number changes when you multiply a fraction by a whole number. The correct answer is 10/7.
  10. 6 · Change 1 1/2 to 3/2. Multiply: 4 × 3/2 = 12/2 = 6 cups.
Worksheet · LightMySky