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7th grade · Math · Unit 3 of 15

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.

Minnesota K-12 Academic Standards benchmark: 7.3.5.1 · writing rational numbers as fractions and decimals

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 Minnesota

In the Minnesota K-12 Academic Standards, this is unit 3 of 15 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: 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

    A bag holds 15 red marbles and 3 blue marbles. What is the ratio of red marbles to blue marbles in simplest form?

    • 1:5
    • 5:6
    • 5:1
    • 1:6

  2. Question 2

    Which is the least?

    • 0.45
    • 20%
    • 4/5
    • 0.85

  3. Question 3

    A pancake recipe uses 2 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)
    25
    410
    ?25

    answer boxcups

  4. Question 4

    What percent of the bar is shaded?

    answer box%

  5. Question 5

    What is 40% of 420?

    answer box

  6. Question 6

    Write 4/5 as a decimal.

    answer box

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