Fraction to percent

You can easily convert a fraction to percent with the fraction to percent calculator. Enter a fraction and click on the "calculate percent" button.

Fraction to percent calculator (with steps)

Fraction to percent Percent to fraction

Work and steps fraction to percent

The fraction to percent calculator has not yet performed a calculation. Enter the numerator and denominator of the fraction you want to convert. A step-by-step explanation is shown here.

General explanation fraction to percent

To convert a fraction to a percentage, divide the numerator of the fraction by the denominator of the fraction and multiply the result by 100.

Example:

Convert the fraction to a decimal

Divide (you can use a calculator) the numerator (3) by the denominator (8) to get a decimal.

3 ÷ 8 = 0.375

Multiply by 100

Multiply the decimal of the first step (0.375) by 100 to get the percentage.

0.375 ÷ 100 = 37.5%

Fractions vs percentages

Fractions and percentages are two different ways of expressing the same concept: parts of a whole. Understanding the relationship between fractions and percentages is crucial in various mathematical and everyday contexts.

A fraction represents a part of a whole and is expressed as a ratio of two integers, with one integer (the numerator) representing the part and the other (the denominator) representing the whole.

Example:

means 3 parts out of 5

A percentage, on the other hand, represents a fraction of 100. The term "percent" literally means "per hundred." So, a percentage is a way of expressing a fraction with a denominator of 100.

Example:

60%

is the same as

100

Convert fraction to percent

To convert a fraction to a percent follow these two steps:

Convert the fraction to a decimal
Divide the numerator (the top number) by the denominator (the bottom number).
Convert the decimal to a percent
Multiply the decimal by 100 and add the percent symbol (%).

Fraction to percent expressed mathematically

Percent

(

numerator

denominator

)

100