Grade 7 Fractions, Decimals & Percents worksheet
from Gradelings · Name: ______________________
How to explain it
- 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%
Question 1
A bag holds 10 red marbles and 2 blue marbles. What is the ratio of red marbles to blue marbles in simplest form?
- 1:6
- 5:6
- 5:1
- 1:5
5:1
Hint: Write the ratio in order, red marbles first: 10:2. Divide both terms by 2, their greatest common factor: 5:1.
Question 2
Which decimal is equal to 8/9? (… means the digits keep repeating.)
- 0.8
- 0.333…
- 0.888…
- 0.1818…
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 3
What is 30% of 420?
answer box
126
Hint: Change the percent to a decimal and multiply: 30% = 0.3, and 0.3 × 420 = 126.
Question 4
Write 5/8 as a decimal.
answer box
0.625
Hint: Make the denominator a power of ten (10, 100, 1000…): 5/8 = 625/1000 = 0.625. (Or divide 5 ÷ 8.)
Question 5
Write 85% as a fraction. (Simplify it if you can.)
85%answer box
17/20
Hint: 85% means 85 out of 100, so it's 85/100. Divide the top and bottom by 5: 17/20.
Question 6
What percent of the bar is shaded?
answer box%
40 %
Hint: 4 of the 10 equal parts are shaded: 4/10. 4/10 = 4/10 = 0.4 = 40%.
Question 7
A pancake recipe uses 5 cups of flour for every 3 cups of milk. How many cups of flour go with 27 cups of milk?
Pancake recipe Flour (cups) Milk (cups) 5 3 10 6 ? 27 answer boxcups
45 cups
Hint: The milk went from 3 to 27 cups, which is × 9. Multiply the flour by 9 too: 5 × 9 = 45 cups.
Question 8
Which is the greatest?
- 70%
- 1/5
- 0.1
- 0.6
70%
Hint: Change them all to the same form, like percents: 1/5 = 20%, 0.1 = 10%, 0.6 = 60%. The greatest is 70%.
Question 9
Write 4/5 as a decimal.
answer box
0.8
Hint: Make the denominator a power of ten (10, 100, 1000…): 4/5 = 8/10 = 0.8. (Or divide 4 ÷ 5.)
Question 10
A class has 6 girls and 9 boys. What is the ratio of girls to boys in simplest form?
- 3:2
- 2:5
- 2:3
- 3:5
2:3
Hint: Write the ratio in order, girls first: 6:9. Divide both terms by 3, their greatest common factor: 2:3.
Answer key
- 1. 5:1
- 2. 0.888…
- 3. 126
- 4. 0.625
- 5. 17/20
- 6. 40 %
- 7. 45 cups
- 8. 70%
- 9. 0.8
- 10. 2:3
Want more than 10 questions?
In Gradelings the questions change every time and adjust to your child, with hints and kind feedback.