A percentage is simply a fraction with denominator 100. Converting 3/8 to a percentage means asking “how many hundredths is that?” – the answer is 37.5%. Some fractions, such as 1/3, give a repeating decimal, so their percentage repeats too (33.3…%).
How to use the Fraction to Percent Calculator
- Numerator
- Denominator
- Percentage to turn into a fraction
Everything is calculated in your browser, so results appear instantly and nothing you type is sent to a server.
How it works
Divide the numerator by the denominator and multiply by 100. For the reverse direction, the percentage is written over 100 and simplified by the greatest common factor, so 37.5% becomes 375/1000 = 3/8.
Formula
Percent = (numerator ÷ denominator) × 100
Fraction = percent ÷ 100, then simplify
Worked example
Inputs — Numerator: 3; Denominator: 8; Percentage to turn into a fraction: 37.5 %.
Results — Fraction as a percentage = 37.5%; Exact value (repeating digits in brackets) = 37.5%; Percentage as a fraction = 37.5% = 3/8.
Key terms
- Percent
- Per hundred; a fraction with denominator 100.
- Repeating decimal
- A decimal whose digits repeat forever, written here with the repeating block in brackets.
Frequently asked questions
How do I convert 1/3 to a percentage?
1 ÷ 3 = 0.333…, so 1/3 = 33.3…% (33⅓%). The digit 3 repeats forever.
How do I convert a percentage to a fraction?
Write it over 100 and simplify: 45% = 45/100 = 9/20.
Can a percentage be more than 100%?
Yes – an improper fraction such as 5/4 equals 125%.
Why does 1/8 give exactly 12.5%?
Because 8 divides a power of ten (1000), the decimal terminates.