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7th grade · Math · Unit 7 of 15

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.

Minnesota K-12 Academic Standards benchmark: 7.3.5.6 · adding, subtracting, multiplying and dividing rational numbers

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 Minnesota

In the Minnesota K-12 Academic Standards, this is unit 7 of 15 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: Minnesota Department of Education (MDE)

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 1/2 + 2/7?

    1/2 + 2/7

    • 11/14
    • 1/3
    • 6/7
  2. Question 2

    What is 3/5 ÷ 2/5?

    3/5 ÷ 2/5

    • 1 1/2
    • 2/3
    • 6/25
  3. Question 3

    What is 4/5 × 7/8?

    4/5 × 7/8

    • 7/10
    • 2 2/13
    • 11/13
  4. Question 4

    What is 4/5 − 4/6?

    4/5 − 4/6

    • 2/15
    • 1/10
    • 1/6
  5. Question 5

    What is 2/3 + 9/10?

    2/3 + 9/10

    • 11/13
    • 1 17/30
    • 1 3/5
  6. Question 6

    What is 4/5 − 4/8?

    4/5 − 4/8

    • 11/40
    • 13/40
    • 3/10