Related Topics:

More Math Worksheets

More Grade 6 Math Lessons

Grade 6 Math 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.

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:

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

Example: Convert 75% to a fraction.

- Remove the percent symbol: 75
- Write the number as the numerator: 75
- The denominator is 100: 100
- 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:

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

Example: Converting 4.5% to a fraction

- Remove the percent sign (%): 4.5
- Divide the number by 100: 0.045
- Write the decimal as a fraction: 45/1000
- 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:

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

Example: Convert 135% to a mixed number

- Remove the percent sign: 135
- Divide by 100: 135 ÷ 100 = 1.35
- Express as a mixed number: 1.35 can be expressed as 1 + 0.35, or 1 and 35/100.
- 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.

Click on the following worksheet to get a printable pdf document.

Scroll down the page for 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

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.