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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.

Arizona Academic Standards learning standard: 6.NS.A.1 · interpreting and computing quotients of fractions and solving 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

Dividing Fractions in Arizona

In the Arizona Academic Standards, this is unit 13 of 17 in 6th grade Math, after Powers and Common Factors and before Center & Spread.

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: Arizona Department of Education

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 2/4 ÷ 8/9?

    • 4/2 × 9/8
    • 2/4 × 9/8
    • 4/2 × 8/9
    • 2/4 × 8/9

  2. Question 2

    What is 3/5 ÷ 2/3?

    3/5 ÷ (2/3) = ?

    • 9/10
    • 1
    • 10/9
    • 2/5

  3. Question 3

    A trail is 3/4 mile long. Signs are placed every 1/8 mile. How many sections does that make?

    • 12
    • 6
    • 5
    • 7

  4. Question 4

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

    • 12
    • 6
    • 10
    • 3
    • 9

  5. Question 5

    Which multiplication has the same answer as 3/7 ÷ 4/8?

    • 3/7 × 8/4
    • 7/3 × 4/8
    • 7/3 × 8/4
    • 3/7 × 4/8

  6. Question 6

    How many 1/2-cup servings are in 1 cups of trail mix?

    • 1
    • 3
    • 2
    • 4
    • 5

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