Grade 7, Fractions, decimals and percents
Fractions, decimals and percents
Write the same amount as a fraction, a decimal and a percent, then compare.
Three levels
One skill, rising difficulty
Each sheet carries one level. The three are the same skill at rising difficulty, each named for what it practises.
- Level 1: From a fraction
- Write each fraction as a decimal and as a percent.
- Level 2: From a decimal
- Write each decimal as a fraction in lowest terms and as a percent.
- Level 3: From a percent, and comparing
- Write each percent as a decimal and as a fraction in lowest terms. Write percents above 100% as a mixed number. Then compare with <, > or =.
Worked example
How the sheet explains it
The helper printed at the top of each sheet: one solved example and the steps a student follows, before the first question. Every number sentence in it is proven by the same checker as the answer key.
Level 1: From a fraction
7/20 = 0.35 = 35%
- Make the bottom 100. Multiply top and bottom by 5: 7/20 = 35/100.
- 35/100 is 35 hundredths, so 35/100 = 0.35.
- To get the percent, multiply by 100: 0.35 × 100 = 35, so 0.35 = 35%.
Level 2: From a decimal
0.45 = 9/20 = 45%
- 0.45 is 45 hundredths: 0.45 = 45/100.
- Divide top and bottom by 5 for lowest terms: 45/100 = 9/20.
- To get the percent, multiply by 100: 0.45 × 100 = 45, so 0.45 = 45%.
Level 3: From a percent, and comparing
64% = 0.64 = 16/25
- To get the decimal, divide by 100: 64 ÷ 100 = 0.64, so 64% = 0.64.
- Use the decimal: 0.64 is 64 hundredths, so 64% = 64/100.
- Divide top and bottom by 4 for lowest terms: 64/100 = 16/25.
Goes with
Reference sheets
One-page helpers a student keeps beside this sheet:
- Fractions, decimals and percents
- Percents
Every reference, facts and support sheet is listed in the worksheet catalogue.
In the BC curriculum
Content standards
The British Columbia content standard this skill is written for, by the codes used across this site:
- bc.math.7.c.4
The wording of each standard is on the Province's mathematics curriculum page.
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