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7th grade · Math · Unit 3 of 17

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.

Alaska content standards learning standard: 7.NS.2; 7.RP.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 Alaska

In the Alaska content standards, this is unit 3 of 17 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: Alaska Department of Education and Early Development

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 percent of the bar is shaded?

    answer box%

  2. Question 2

    Write 3/8 as a decimal.

    answer box

  3. Question 3

    Which decimal is equal to 1/9? (… means the digits keep repeating.)

    • 0.111…
    • 0.444…
    • 0.555…
    • 0.1

  4. Question 4

    A pancake recipe uses 3 cups of flour for every 5 cups of milk. How many cups of flour go with 25 cups of milk?

    Pancake recipe
    Flour (cups)Milk (cups)
    35
    610
    ?25

    answer boxcups

  5. Question 5

    Write 10% as a fraction. (Simplify it if you can.)

    10%

    answer box

  6. Question 6

    Which is the greatest?

    • 0.65
    • 75%
    • 1/10
    • 60%

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