PERCENT TO FRACTION CONVERSIONS

Concept: Decimals, fractions, and percents can be used to show part of a whole. Sometimes it is easier to calculate using fractions. At other times, decimals are more useful. Still other times it is better to use percents. It is helpful o know how to convert back and forth. To convert a percent into a fraction, follow these three simple steps.

Steps For Converting Percents To Fractions

Step 1 | Drop the percent sign (%) from the end of the number.
Step 2 | Write the number as the numerator of a fraction with a denominator of 100. (If the original percent number is a decimal number, move the decimal point all the way to the right. Add the same number of zeros to the denominator as digits you moved the decimal point to the right in the numerator.)
Step 3 | Reduce the fraction as necessary.

Example Convert the percent to a fraction. 0.6%

Step 1 | Drop the percent sign (%) from the end of the number. | 0.6
Step 2 | Write the number as the numerator of a fraction with a denominator of 100. | 0.6 100
| If the original percent number is a decimal number, move the decimal point all the way to the right. Add the same number of zeros to the denominator as digits you moved the decimal point to the right in the numerator. | 0.6 becomes 06. 100 1000
Step 3 | Reduce the fraction as necessary. | .
| The percent 0.6% is equal to the fraction |