Convert Percent to Fraction Calculator

Convert Percent to Fraction Calculator

Here’s a comprehensive guide on converting percentages to fractions, presented in a table format:

Percentage	Fraction	Simplified Fraction
1%	1/100	1/100
5%	5/100	1/20
10%	10/100	1/10
20%	20/100	1/5
25%	25/100	1/4
33.33%	33.33/100	1/3
40%	40/100	2/5
50%	50/100	1/2
60%	60/100	3/5
66.67%	66.67/100	2/3
75%	75/100	3/4
80%	80/100	4/5
90%	90/100	9/10
100%	100/100	1/1

How to Convert Percent to Fraction

1. Divide the percentage by 100 to get a decimal number.
2. Write this decimal as a fraction over 100.
3. Simplify the fraction if possible by finding the greatest common factor (GCF) of the numerator and denominator.

Examples

1. Convert 35% to a fraction:
   • 35 ÷ 100 = 0.35
   • 0.35 = 35/100
   • Simplify: 35/100 = 7/20 (GCF is 5)
2. Convert 62.5% to a fraction:
   • 62.5 ÷ 100 = 0.625
   • 0.625 = 625/1000
   • Simplify: 625/1000 = 5/8 (GCF is 125)

Special Cases

1. Mixed number percentages (e.g., 150%):
   • 150% = 150/100 = 3/2 (improper fraction)
   • Can be expressed as a mixed number: 1 1/2
2. Percentages with decimals (e.g., 0.008%):
   • 0.008 ÷ 100 = 0.00008
   • 0.00008 = 8/100000
   • Simplify: 8/100000 = 1/12500

Remember, when converting percentages to fractions, always start by dividing by 100 and then simplify if possible. This method works for all percentages, including those above 100% and those with decimal places.