Percentage to fraction calculator
In the percentage to fraction calculator, 35% is 35/100, and dividing both by their greatest common factor, 5, gives 7/20.
Fraction
- Percent
- 35%
- Decimal
- 0.35
- Fraction In lowest terms.
- 7/20
- Working
- 35% ÷ 100 = 0.35
- Over 100, reduced
- 35/100 = 7/20
How the Percent to Decimal Converter works
To convert a percent to a fraction, write the percent over 100 and reduce it to lowest terms. 35% = 35/100, and the greatest common factor of 35 and 100 is 5, so 35/100 = 7/20.
A decimal percent needs one more step. Multiply the top and bottom by 10 for each decimal place, then reduce. 62.5% = 62.5/100 = 625/1000, and dividing both by 125 gives 5/8. 0.2% = 0.2/100 = 2/1000 = 1/500.
A percent over 100 gives an improper fraction, which can be written as a mixed number. 250% = 250/100 = 5/2 = 2 1/2. That is percent to mixed number: write it over 100, reduce, then divide the numerator by the denominator for the whole part.
A percent that contains a fraction, such as 12 1/2%, is turned into an improper fraction first: 12 1/2 = 25/2, and 25/2 ÷ 100 = 25/200 = 1/8. Type it with a space between the whole number and the fraction. 66 2/3% works the same way and comes out as 2/3.
The pairs that come up most: 10% = 1/10, 20% = 1/5, 25% = 1/4, 50% = 1/2, 75% = 3/4 and 33 1/3% = 1/3.
Percent to Decimal Converter FAQ
What is 40% as a fraction?
2/5. 40/100 reduces by the common factor 20.
What is 0.75% as a fraction?
3/400. 0.75/100 = 75/10000, and both divide by 25.
How do I check the fraction?
Divide it back out. 7 ÷ 20 = 0.35, which is 35%.
Is 33% the same as 1/3?
No. 33% is 33/100, which is already in lowest terms and a little under a third. A third is 33 1/3%.