Percent to Fraction Calculator

Enter a percentage to convert it into fraction form.

Convert Percentages to Fractions

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How to Convert a Percentage to a Fraction?

Converting a percentage to a fraction is straightforward. You just need to express the percentage as a fraction with 100 as the denominator, then simplify the fraction. Here are the steps:

1. Remove the percent symbol and express as a fraction with denominator 100

For example, \(75\%\) can be written as \(\frac{75}{100}\).

2. Simplify the fraction (if necessary)

Use the greatest common divisor (GCD) of the numerator and denominator to reduce the fraction to its simplest form. For example, \(\frac{75}{100}\) can be simplified to \(\frac{3}{4}\).

With these two simple steps, you can convert any percentage into a fraction!

Examples

Example 1: Convert \(40\%\) to a fraction

Solution:

1. Remove the percent symbol:

\( 40\% = \frac{40}{100}\)

2. Simplify the fraction:

The GCD of 40 and 100 is 20, so we simplify:

\( \frac{40}{100} = \frac{2}{5} \)

Result: \(40\%\) as a fraction is \(\frac{2}{5}\)

Example 2: Convert \(125\%\) to a fraction

Solution:

1. Remove the percent symbol:

\(125\% = \frac{125}{100}\)

2. Simplify the fraction:

The GCD of 125 and 100 is 25, so we simplify:

\( \frac{125}{100} = \frac{5}{4} \)

Result: \(125\%\) as a fraction is \(\frac{5}{4}\)

Example 3: Convert \(0.5\%\) to a fraction

Solution:

1. Remove the percent symbol:

\(0.5\% = \frac{0.5}{100}\)

To make the conversion easier, multiply the numerator by 1000 to get \(\frac{5}{1000}\).

2. Simplify the fraction:

The GCD of 5 and 1000 is 5, so we simplify:

\( \frac{5}{1000} = \frac{1}{200} \)

Result: \(0.5\%\) as a fraction is \(\frac{1}{200}\)