How to transform a fraction to a Percent

There are simply two basic steps to transform a portion to a percent.

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Step One: transform the fraction to a Decimal Value

The first step is to transform the fraction into a decimal value. Perform this by splitting the numerator by the denominator.

The numerator is the number on optimal of the portion bar. The denominator is the number below the portion bar.

decimal = molecule ÷ denominator


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For example, convert the fraction 34 to a decimal.

34 = 3 ÷ 434 = 0.75

Thus, the decimal worth of 34 is 0.75.

Here’s a tip: girlfriend might have the ability to use a decimal equivalents chart because that a perform of decimal worths for typical fractions to transform a portion to decimal without utilizing division.


You might additionally be interested in our long division calculator.

Step Two: convert the Decimal value to a Percentage

The second step is to convert the decimal value into a percentage. Multiply the decimal value by 100, then place a percent authorize (%) after it.


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For example, let’s transform 0.75 come a percentage.

percentage = 0.75 × 100 = 75%

The percent value the 34 or 0.75 is for this reason 75%.


Fraction come Percent switch Table

Another way to convert a portion to percent is to use a switch table. The switch table below shows some usual fractions and also their equivalent percentages.

Fraction to percent counter table showing common fractions and also their equivalent percentage values.

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FractionPercent
1/250%
1/333.3%
2/366.6%
1/425%
3/475%
1/520%
2/540%
3/560%
4/580%
1/616.66%
5/683.33%
1/812.5%
3/837.5%
5/862.5%
7/887.5%
1/911.1%
2/922.2%
4/944.4%
5/955.5%
7/977.7%
8/988.8%
1/1010%
1/128.333%
1/166.25%

See more portion percent equivalents.