Percent to Fraction Calculator
Use our Percent to Fraction Calculator to convert a percent to a fraction. This Percent to Fraction Calculator also shows the steps to convert a percent to its equivalent fraction.
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Solution:
Percent to Fraction Calculator Details
Percent and Fraction both are used usually for comparing quantities.
A fraction is a number that represents a part of the whole whereas percent is usually expressed as a fraction of 100.
Percent is represented with a Percentage sign (%). Percent to Fraction conversion might be needed whenever we want to use the value of percent in a calculation as the percent can’t be used directly with the % sign.
How do I convert a percent to fraction? Learn to convert percent to fraction and use our easy to use Percent to Fraction Calculator for faster calculation and step by step solution.
How to convert percent to fraction?
- Divide the percent value by 100 to remove the percentage sign and get a decimal number.
- Make a fraction with decimal number as numerator and the number ‘1’ as denominator.
- Count how many numbers are to the right of the decimal place and then multiply the numerator and denominator of the fraction with 10 times that number. For example, if there are ‘a’ digits after decimal point then multiply the numerator and denominator of the fraction with 10a
- Find the Greatest Common Factor (GCF) of numerator and denominator.
- Divide both numerator and denominator with that GCF to reduce the fraction to its lowest form
For Example, Convert 59.6 % to fraction
- Divide the percent value by 100: 59.6/100 = 0.596
- Rewrite the decimal number as a fraction: 0.596/1
- Multiply Numerator and denominator with 103 to remove decimal: 596/1000
- Find GCF of numerator and denominator
Factors of 596 = 1, 2, 4, 149, 298, 596
Factors of 1000 = 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000 - Divide both numerator and denominator by GCF 4: (596/4)/(1000/4) = 149/250