Percents

Method

Converting a Fraction Into a Percent

Fractions can be converted into percents. Consider the following fraction. 14/87 This fraction can be rewritten as a percent by following two steps.

1
Divide the Numerator by the Denominator
expand_more
First, divide the numerator by the denominator. In this case, the numerator is 14 and the denominator is 87. The procedure of long division can be used to divide up to four decimal places.

long division of 14 and 87

The quotient is 0.1609. This is the decimal equivalent of the fraction.

2
Multiply by 100
expand_more
Multiply the result by 100 to convert it to percent.

0.1609 becomes 16.09 after multiplying by 100

The result is 16.09, which can be rounded to 16.1. Finally, add a percent sign after the number. 14/87≈ 16.1 % Therefore, the fraction represents about 16.1 %.

Note that the order of these two steps can be reversed. In other words, the fraction can be multiplied by 100 first, before calculating the quotient of the numerator by the denominator.

Extra

Converting Different Fractions
Input a fraction whose numerator and denominator are less than 100. Then, click Submit and Convert to see how it can be converted into a percent. In this applet, the fraction will be multiplied by 100 first.

The submitted fraction is converted to a percent

Exercises
Edit Lesson