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7th grade · Math · Unit 3 of 20

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.

New York State Learning Standards learning standard: NY-7.NS.2; NY-7.RP.3 · writing 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 New York

In the New York State Learning Standards, this is unit 3 of 20 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: 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

    A team won 7 of its 8 games. What percent of its games did it win?

    answer box%

  2. Question 2

    What is 75% of 360?

    answer box

  3. Question 3

    Write 13/25 as a decimal.

    answer box

  4. Question 4

    An animal shelter has 24 cats and 32 dogs. What is the ratio of cats to dogs in simplest form?

    • 3:7
    • 4:7
    • 3:4
    • 4:3

  5. Question 5

    Which decimal is equal to 7/9? (… means the digits keep repeating.)

    • 0.7
    • 0.777…
    • 0.888…
    • 0.333…

  6. Question 6

    Write 40% as a fraction. (Simplify it if you can.)

    40%

    answer box

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