Percents to Fractions Worksheets

There are six sets of Converting between Percents, Decimals & Fractions Worksheets:
Decimals to Percents
Percents to Decimals
Fractions to Percents
Percents to Fractions
Decimals to Fractions
Fractions to Decimals

Examples, solutions, videos, and worksheets to help Grade 6 students learn how to convert a fraction to a decimal.

How to convert Percents to Fractions?

There are 3 sets of convert percents to fractions worksheets:

• Convert whole number percents to fractions
• Convert percents that are not whole numbers to fractions
• Convert percents to mixed numbers.

You can follow these steps to convert a percent to a fraction:

1. Remove the percent symbol ("%") from the number.
2. Write the number as the numerator of the fraction.
3. The denominator of the fraction is 100.
4. Simplify the fraction when possible.

Example: Convert 75% to a fraction.

1. Remove the percent symbol: 75
2. Write the number as the numerator: 75
3. The denominator is 100: 100
4. Simplify the fraction: Divide the numerator and denominator by 25
   75/100 = (75 ÷ 25) / (100 ÷ 25) = 3/4
   So, 75% is equivalent to the fraction 3/4.

If the percent is not a whole number then you may follow these steps:

1. Remove the percent sign (%).
2. Divide the number by 100 by moving the decimal point two places to the left.
3. Write the decimal as a fraction.
4. Simplify the fraction if necessary.

Example: Converting 4.5% to a fraction

1. Remove the percent sign (%): 4.5
2. Divide the number by 100: 0.045
3. Write the decimal as a fraction: 45/1000
4. Simplify the fraction: Divide both the numerator and denominator by 5
   45/1000 = (45 ÷ 5) / (1000 ÷ 5) = 9/200
   So, 4.5% can be expressed as the fraction 9/200.

If the percent is greater than 100% then it would be converted to a mixed number.
You can follow these steps to convert a percent to a mixed number:

1. Remove the percent sign (%).
2. Divide the number by 100 by moving the decimal point two places to the left.
3. Express as a mixed number.
4. Simplify the fraction part when possible.

Example: Convert 135% to a mixed number

1. Remove the percent sign: 135
2. Divide by 100: 135 ÷ 100 = 1.35
3. Express as a mixed number: 1.35 can be expressed as 1 + 0.35, or 1 and 35/100.
4. Simplify the fraction part: Divide both the numerator and denominator by 5
   35/100 = (35 ÷ 5) / (100 ÷ 5) = 7/20
   So, 135% can be expressed as the mixed number 1 7/20.

Have a look at this video if you need to review how to convert a percent to a fraction.

• Converting Percents to Fractions

Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Percents to Fractions Worksheets.

 

More Percents to Fractions Worksheets

Printable
(Answers on the second page.)
Percents to Fractions Worksheet #1 (whole number percents)
Percents to Fractions Worksheet #2 (decimal percents)
Percents to Mixed Numbers Worksheet #3 (percents > 100%)

Online or Interactive
Percents to Fractions and Fractions
Percents to Fractions in Lowest Terms
Percents to Fractions

Percents to Fractions 1
Percents to Fractions 2
Decimals to Percents
Convert between Decimals, Fractions & Percents

Related Lessons & Worksheets

Percents to Fractions Lesson

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