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7th grade · Math · Unit 8 of 17

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.

Maine Learning Results 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 Maine

In the Maine Learning Results, this is unit 8 of 17 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: Maine 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 2/5 − 1/8?

    2/5 − 1/8

    • 3/10
    • 11/40
    • 1/3

  2. Question 2

    A jug is 2/3 full. You pour out 1/2 of what is in it. What fraction of the whole jug did you pour out?

    • 3/5
    • 1/3
    • 2/5

  3. Question 3

    What is 1/2 + 2/7?

    1/2 + 2/7

    • 6/7
    • 1/3
    • 11/14

  4. Question 4

    What is 1/6 × 1/8?

    1/6 × 1/8

    • 1/14
    • 1/7
    • 1/48

  5. Question 5

    What is 3/4 ÷ 3/5?

    3/4 ÷ 3/5

    • 4/5
    • 1 1/4
    • 9/20

  6. Question 6

    What is 1/4 × 2/3?

    1/4 × 2/3

    • 1/6
    • 2/7
    • 3/7

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