Fractions, decimals, and percents together

Mathematics · Fractions · ages 9-10

Name ______________________ Date ____________

Write 3/4 as a decimal.
Answer: ______________
Which decimal is the same as 7/10?
- 0.07
- 0.7
- 7
- 0.17
What is 1/4 as a percent?
- 20%
- 25%
- 40%
0.8 is the same amount as 4/5.
Circle one: True False
Which decimal equals 2/5?
- 0.2
- 0.4
- 0.5
True or false: 6/100 is the same as 0.6.
Circle one: True False
Which fraction is the same as 0.4?
- 1/5
- 2/5
- 4/5
- 1/4
Find 20% of 60. Use the fact that 20% = 1/5.
Answer: ______________
Maya says 3/4 = 34%. What mistake did she make?
- She forgot to add the % sign
- She mixed up the numerator and denominator
- She used the fraction's digits instead of dividing 3 by 4
An item costs £40. After a 25% discount, what is the sale price?
Answer: ______________

Answer key

For grown-ups. Fold this page away before handing over the rest.

0.75 · 3/4 is the same as 75/100, and 75 hundredths is 0.75.
0.7 · 7/10 means 7 tenths, and 7 tenths is written as 0.7.
25% · 1/4 = 25%. It's half of 1/2, which is 50%.
True · 4/5 = 80% = 0.8, so the two are equal.
0.4 · 2/5 is double 1/5. Since 1/5 = 0.2, 2/5 = 0.4.
False · 6/100 means 6 hundredths, which is 0.06. The decimal 0.6 means 6 tenths, which is 6/10.
2/5 · 0.4 means 4 tenths, and 4 tenths simplifies to 2/5.
12 · 1/5 of 60 is 60 ÷ 5 = 12.
She used the fraction's digits instead of dividing 3 by 4 · 3 ÷ 4 = 0.75, so 3/4 = 75%. Maya just strung the digits together instead of converting.
30 · 25% off is £10 (40 ÷ 4). £40 minus £10 leaves a sale price of £30.