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Fraction to Percent Calculator

Convert Fraction to Percent
Answer:
\[ \frac{5}{12} = 41.67\% \]

Showing the work
We know that the fraction \[ \frac{5}{12} \]is the same as division \[ 5 \div 12 \]Then using
Long Division for 5 divided by 12
gives us \[ 0.416667 \]Converting our number to a percentage:\[ 0.416667 \times 100 \]\[ = 41.67\% \]
Rounded to a Max of 2 Decimal Places.


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Calculator Use

Convert a fraction to a percent. Convert proper and improper fractions to percentages. This calculator shows the steps and work to convert a fraction to a percentage number.

Two Steps to Convert a Fraction to a Percent

  1. Use division to convert the fraction to a decimal:
    1/4 = 1 ÷ 4 = 0.25
  2. Multiply by 100 to get percent value:
    0.25 × 100 = 25%

1. Convert the fraction to a decimal number

The fraction bar between the top number (numerator) and the bottom number (denominator) means "divided by." So converting a fraction such as 1/4 to a decimal means you need to solve the math: 1 divided by 4.
1 ÷ 4 = 0.25

2. Multiply by 100 to convert decimal number to percent

0.25 × 100 = 25%

You can reduce a fraction before converting to a decimal but it's not necessary because the answer will be the same. If you need to do the conversion by long division, reducing might make the math easier.

For example, 6/12 = 6 ÷ 12 = 0.50. If you solve this with a calculator then it is easy to get the answer. However, if you solve this by hand or in your head reducing 6/12 = 1/2 may make the problem easier and you may even recognize that 1/2 = 0.50.

Multiplying 0.50 by 100 means that 6/12 = 50%.

Related Calculators

You can also see our Long Division Calculator with Decimals to convert a fraction to a decimal and see the work involved in the long division. Just multiply the answer by 100 to get the percentage.

If you would like help reducing fractions to lowest terms see the Simplifying Fractions Calculator.

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

 

Cite this content, page or calculator as:

Furey, Edward "Fraction to Percent Calculator" at https://www.calculatorsoup.com/calculators/math/fraction-to-percent-calculator.php from CalculatorSoup, https://www.calculatorsoup.com - Online Calculators

Last updated: October 17, 2023

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