7th grade · Math · Unit 3 of 18
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.
Alabama Course of Study content standard: 7.3; 7.8 · converting between fractions, decimals and percents and using them in percent problems
How we explain it
Children can open this short lesson before they practice.
- A fraction to a decimal: divide the top by the bottom.
- A decimal to a percent: multiply by 100.
- 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 Alabama
In the Alabama Course of Study, this is unit 3 of 18 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.
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
A pancake recipe uses 5 cups of flour for every 3 cups of milk. How many cups of flour go with 24 cups of milk?
Pancake recipe Flour (cups) Milk (cups) 5 3 10 6 ? 24 answer boxcups
40 cups
Hint: The milk went from 3 to 24 cups, which is × 8. Multiply the flour by 8 too: 5 × 8 = 40 cups.
Question 2
A bag holds 20 red marbles and 12 blue marbles. What is the ratio of red marbles to blue marbles in simplest form?
- 3:8
- 5:3
- 5:8
- 3:5
5:3
Hint: Write the ratio in order, red marbles first: 20:12. Divide both terms by 4, their greatest common factor: 5:3.
Question 3
Write 75% as a fraction. (Simplify it if you can.)
75%answer box
3/4
Hint: 75% means 75 out of 100, so it's 75/100. Divide the top and bottom by 25: 3/4.
Question 4
Write 1/5 as a decimal.
answer box
0.2
Hint: Make the denominator a power of ten (10, 100, 1000…): 1/5 = 2/10 = 0.2. (Or divide 1 ÷ 5.)
Question 5
What percent of the bar is shaded?
answer box%
70 %
Hint: 14 of the 20 equal parts are shaded: 14/20. 14/20 = 70/100 = 0.7 = 70%.
Question 6
Which is the least?
- 3/5
- 0.55
- 0.1
- 65%
0.1
Hint: Change them all to the same form, like percents: 0.1 = 10%, 3/5 = 60%, 0.55 = 55%. The least is 0.1.