Percent to Fraction Calculator

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Math

Fractions

Percent to Fraction Calculator

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Answer:

\[ = \frac{5}{4} = 1\frac{1}{4} \]

Step-by-Step

1. Rewrite the percentage as a decimal\[ 125\% = \frac{125}{100} \]\[ = 1.25\]2. Rewrite the decimal as a fraction over 1\[ = \frac{1.25}{1} \]3. Convert the numerator to a whole number\[ = \frac{1.25}{1} \times \frac{100}{100} \]\[ = \frac{125}{100} \]4. Reduce the fraction with 25 as the GCF\[ = \frac{125 \div 25}{100 \div 25} \]\[ = \frac{5}{4} \]5. Simplify 5/4 to a mixed number\[ = 1\frac{1}{4} \]

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Calculator Use

This online calculator converts a percent to a fraction. If the percent value is greater than 100% it is converted into a mixed number fraction. Enter percents to convert them into fractions. The number you enter can also have decimal places as in 3.5% or 0.625%.

To convert a percent to a fraction you first convert the percent to a decimal then use the same procedure as converting a decimal to fraction.

How to Convert a Percent to Fraction

Divide the percentage by 100 to get a decimal number.
Use that number as the numerator (top) of a fraction. Put a 1 in the denominator (bottom) of the fraction.
Convert the decimal to a whole number: Count how many places are to the right of the decimal. If you have x decimal places then multiply numerator and denominator by 10^x.
Reduce the fraction: Find the Greatest Common Factor (GCF) of the numerator and denominator and reduce the fraction by dividing both numerator and denominator by the GCF.
Simplify the remaining fraction to a mixed number fraction if possible.

Example: Convert 35.5% to a fraction

1. Divide by 100

\( \dfrac{35.5}{100} = 0.355\)

2. Rewrite the decimal number number as a fraction (over 1)

\( \dfrac{0.355}{1} \)

3. Multiply numerator and denominator by by 10³ = 1000 to remove 3 decimal places

\( \dfrac{0.355}{1}\times \dfrac{1000}{1000}= \dfrac{355}{1000} \)

4. Find the Greatest Common Factor (GCF) of 355 and 1000 and reduce the fraction, dividing both numerator and denominator by GCF = 5

\( \dfrac{355 \div 5}{1000 \div 5}= \dfrac{71}{200} \)

Therefore,

\( 35.5\% = \dfrac{71}{200} \)

Related Calculators

To convert a fraction to a percent see the Fraction to Percent Calculator.