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5th grade · Math · Unit 12 of 14

Multiply & Divide Fractions

Fractions times and shared

What your child practices

Multiplying a fraction by a whole number or a fraction, dividing a unit fraction by a whole number (and the other way round), and seeing a fraction as sharing.

Washington State Learning Standards learning standard: M.5.Q.NF.3; M.5.Q.NF.4; M.5.Q.NF.5; M.5.Q.NF.7 · interpreting a fraction as division, multiplying fractions, seeing multiplication as scaling, and dividing unit fractions and whole numbers

How we explain it

Children can open this short lesson before they practice.

  1. To multiply fractions, multiply the tops and multiply the bottoms.
  2. A fraction is a division: 3/4 means 3 ÷ 4.
  3. Dividing by a unit fraction asks how many of it fit.

Example: What is 2/3 × 3/5? Tops: 2 × 3 = 6. Bottoms: 3 × 5 = 15. 6/15 = 2/5. Answer: 2/5

Sample questions

A taste of this unit. In the app, questions change every time and get easier or harder to match your child.

  1. Question 1

    Without multiplying: is 7/8 × 19 more or less than 19?

    • Less than 19
    • Equal to 19
    • More than 19

  2. Question 2

    What is 1/3 × 12?

    1/3 × 12 = ?

    • 3
    • 12
    • 4
    • 1
    • 5

  3. Question 3

    A recipe uses 2/4 cup of oats. How many cups for 4 batches?

    • 1 1/2 cups
    • 1/2 cups
    • 2 cups
    • 1/8 cups

  4. Question 4

    What is 4 ÷ 1/8?

    • 8
    • 12
    • 4
    • 32

  5. Question 5

    What is 1/5 ÷ 4?

    1/5 ÷ 4 = ?

    • 5/4
    • 1/9
    • 1/20
    • 4/5

  6. Question 6

    What is 2/3 × 1/2?

    2/3 × 1/2 = ?

    • 3/5
    • 1/3
    • 4/3
    • 2/5

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