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

More Printable Worksheets

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.