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5th grade · Math · Unit 13 of 15

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.

Alabama Course of Study content standard: 5.11; 5.12; 5.13; 5.15 · a fraction as division, multiplying fractions, 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

Multiply & Divide Fractions in Alabama

In the Alabama Course of Study, this is unit 13 of 15 in 5th grade Math, after Coordinate Grid and before Unlike Denominators.

Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.

Source: Alabama State Department of Education (ALSDE)

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

    What is 3 ÷ 1/4?

    • 4
    • 12
    • 7
    • 3

  2. Question 2

    What is 4/6 × 1/6?

    4/6 × 1/6 = ?

    • 1/3
    • 1/9
    • 5/12
    • 4

  3. Question 3

    What is 1/4 ÷ 5?

    1/4 ÷ 5 = ?

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

  4. Question 4

    What is 6/8 × 40?

    6/8 × 40 = ?

    • 33
    • 240
    • 36
    • 30
    • 5

  5. Question 5

    Without multiplying: is 3/2 × 38 more or less than 38?

    • More than 38
    • Less than 38
    • Equal to 38

  6. Question 6

    2 sandwiches are shared equally by 4 friends. How much does each friend get?

    • 1/4 each
    • 1/2 each
    • 2 each
    • 1/3 each

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