Grade 7 · Math · Unit 6 of 20
Fractions, Decimals & Percents
Convert, compare and use ratios
What your child practises
Moving between fractions, decimals (including repeating decimals) and percents, finding a percent of a number, and simplifying and scaling ratios.
Ontario Curriculum expectation: B1.7, B2.2 · fractions, decimals and percents
How we explain it
Children can open this short lesson before they practise.
- 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%
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
Which decimal is equal to 8/9? (… means the digits keep repeating.)
- 0.8
- 0.8333…
- 0.4545…
- 0.888…
Show answer
0.888…
Hint: Divide 8 ÷ 9. The division never ends: the digit 8 repeats forever, so 8/9 = 0.888…. 0.8 stops too soon.
Question 2
What is 5% of 300?
answer box
Show answer
15
Hint: Change the percent to a decimal and multiply: 5% = 0.05, and 0.05 × 300 = 15.
Question 3
A class has 7 girls and 35 boys. What is the ratio of girls to boys in simplest form?
- 5:6
- 1:5
- 5:1
- 1:6
Show answer
1:5
Hint: Write the ratio in order, girls first: 7:35. Divide both terms by 7, their greatest common factor: 1:5.
Question 4
Which is the least?
- 7/20
- 0.55
- 45%
- 25%
Show answer
25%
Hint: Change them all to the same form, like percents: 7/20 = 35%, 0.55 = 55%. The least is 25%.
Question 5
Write 95% as a fraction. (Simplify it if you can.)
95%answer box
Show answer
19/20
Hint: 95% means 95 out of 100, so it's 95/100. Divide the top and bottom by 5: 19/20.
Question 6
Write 4/5 as a decimal.
answer box
Show answer
0.8
Hint: Make the denominator a power of ten (10, 100, 1000…): 4/5 = 8/10 = 0.8. (Or divide 4 ÷ 5.)