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7th grade · Math · Unit 7 of 20

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.

New York State Learning Standards learning standard: NY-7.NS.1; NY-7.NS.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 New York

In the New York State Learning Standards, this is unit 7 of 20 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: New York State Education Department (NYSED)

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 2/3 − 2/4?

    2/3 − 2/4

    • 1/4
    • 1/6
    • 1/12

  2. Question 2

    What is 2/4 − 2/5?

    2/4 − 2/5

    • 1/10
    • 1/20
    • 3/20

  3. Question 3

    A jug is 1/4 full. You pour out 3/5 of what is in it. What fraction of the whole jug did you pour out?

    • 3/20
    • 4/9
    • 1/3

  4. Question 4

    What is 3/4 × 4/5?

    3/4 × 4/5

    • 7/9
    • 1 1/3
    • 3/5

  5. Question 5

    What is 4/5 + 6/8?

    4/5 + 6/8

    • 1 23/40
    • 1 11/20
    • 10/13

  6. Question 6

    What is 4/5 + 2/6?

    4/5 + 2/6

    • 1 1/6
    • 1 2/15
    • 6/11

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