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6th grade · Math · Unit 13 of 17

Dividing Fractions

How many fit?

What your child practices

Dividing a fraction by a fraction by multiplying by the reciprocal, and solving “how many servings” and “how many pieces” problems.

Washington State Learning Standards learning standard: M.6.R.NS.1 · interpreting and computing quotients of fractions and solving word problems with fraction division

How we explain it

Children can open this short lesson before they practice.

  1. To divide by a fraction, multiply by its reciprocal (flip it).
  2. Keep the first fraction, change ÷ to ×, flip the second.
  3. Simplify the answer.

Example: What is 3/4 ÷ 1/8? 3/4 × 8/1 = 24/4. 24/4 = 6. Answer: 6

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

    Which multiplication has the same answer as 4/6 ÷ 2/5?

    • 6/4 × 5/2
    • 4/6 × 2/5
    • 4/6 × 5/2
    • 6/4 × 2/5

  2. Question 2

    How many 1/3-cup servings are in 1 cups of trail mix?

    • 4
    • 3
    • 2
    • 5
    • 1

  3. Question 3

    What is 1/2 ÷ 4/5?

    1/2 ÷ (4/5) = ?

    • 2/5
    • 3/4
    • 8/5
    • 5/8

  4. Question 4

    A trail is 1/2 mile long. Signs are placed every 1/4 mile. How many sections does that make?

    • 4
    • 2
    • 3
    • 1

  5. Question 5

    A trail is 1/2 mile long. Signs are placed every 1/12 mile. How many sections does that make?

    • 7
    • 5
    • 12
    • 6

  6. Question 6

    What is 2/7 ÷ 3/5?

    2/7 ÷ (3/5) = ?

    • 21/10
    • 11/21
    • 10/21
    • 6/35

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