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7th grade · Math · Unit 3 of 16

Fractions, Decimals & Percents

Convert, compare and use ratios

What your child practices

Moving between fractions, decimals (including repeating decimals) and percents, finding a percent of a number, and simplifying and scaling ratios.

Arizona Academic Standards learning standard: 7.NS.A.2; 7.RP.A.3 · writing equivalent numbers as fractions, decimals and percents and using them in percent problems

How we explain it

Children can open this short lesson before they practice.

  1. A fraction to a decimal: divide the top by the bottom.
  2. A decimal to a percent: multiply by 100.
  3. Percent means out of 100.

Example: Write 3/4 as a decimal and a percent. 3 ÷ 4 = 0.75. 0.75 × 100 = 75%. Answer: 0.75 = 75%

Fractions, Decimals & Percents in Arizona

In the Arizona Academic Standards, this is unit 3 of 16 in 7th grade Math, after Decimal Operations and before Two-Step Equations.

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 is the least?

    • 85%
    • 0.35
    • 3/5
    • 30%

  2. Question 2

    Write 5/8 as a decimal.

    answer box

  3. Question 3

    What percent of the bar is shaded?

    answer box%

  4. Question 4

    Write 90% as a fraction. (Simplify it if you can.)

    90%

    answer box

  5. Question 5

    What is 60% of 220?

    answer box

  6. Question 6

    A class has 35 girls and 28 boys. What is the ratio of girls to boys in simplest form?

    • 4:9
    • 5:4
    • 5:9
    • 4:5

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