How to convert a fraction to a Percent

There are simply two straightforward steps to convert a portion to a percent.

You are watching: What is 1/3 of 75

Step One: convert the fraction to a Decimal Value

The very first step is to transform the fraction into a decimal value. Perform this by separating the molecule by the denominator.

The molecule 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 portion 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 for a perform of decimal values for common fractions to convert a portion to decimal without utilizing division.


You might likewise be interested in our long division calculator.

Step Two: convert the Decimal worth to a Percentage

The second step is to convert the decimal value right into a percentage. Main point the decimal worth by 100, then location a percent authorize (%) ~ it.


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

percentage = 0.75 × 100 = 75%

The portion value that 34 or 0.75 is thus 75%.


Fraction come Percent conversion Table

Another way to convert a portion to percent is to use a conversion table. The switch table listed below shows some typical fractions and also their tantamount percentages.

Fraction come percent counter table showing common fractions and also their indistinguishable percentage values.

See more: What Is 28/50 As A Percent Age? Or, What Percent Is 28 Of 50

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.