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7th grade · Math · Unit 8 of 16

Fractions

Add, subtract, multiply, divide

What your child practices

Adding and subtracting fractions with different denominators, and multiplying and dividing a fraction by a fraction.

Arizona Academic Standards learning standard: 7.NS.A.1; 7.NS.A.2 · adding, subtracting, multiplying and dividing fractions

How we explain it

Children can open this short lesson before they practice.

  1. To add or subtract, rename the fractions with a common denominator.
  2. To multiply, multiply the tops and multiply the bottoms.
  3. To divide, multiply by the reciprocal (flip the second fraction).

Example: 2/3 ÷ 1/6 = ? Flip 1/6 to 6/1 and multiply. 2/3 × 6 = 12/3. 12/3 = 4. Answer: 4

Fractions in Arizona

In the Arizona Academic Standards, this is unit 8 of 16 in 7th grade Math, after Probability and before Percents & Proportions.

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

    What is 3/5 ÷ 1/5?

    3/5 ÷ 1/5

    • 1/3
    • 3
    • 3/25

  2. Question 2

    What is 1/3 × 5/8?

    1/3 × 5/8

    • 5/11
    • 5/24
    • 6/11

  3. Question 3

    A jug is 1/4 full. You pour out 2/4 of what is in it. What fraction of the whole jug did you pour out?

    • 3/8
    • 1/4
    • 1/8

  4. Question 4

    What is 1/2 − 1/7?

    1/2 − 1/7

    • 3/7
    • 2/7
    • 5/14

  5. Question 5

    What is 1/2 + 1/7?

    1/2 + 1/7

    • 5/7
    • 2/9
    • 9/14

  6. Question 6

    What is 3/5 − 1/6?

    3/5 − 1/6

    • 2
    • 13/30
    • 7/15

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