Fraction to percent converter
Fraction to percent: 3/8 is 3 ÷ 8 = 0.375, and 0.375 × 100 = 37.5, so 3/8 is 37.5%.
Percent
- Decimal
- 0.375
- Fraction In lowest terms.
- 3/8
- Working
- 3 ÷ 8 = 0.375, and 0.375 × 100 = 37.5%
- In lowest terms
- 3/8, already in lowest terms
How the Percent to Decimal Converter works
The formula is percent = numerator ÷ denominator × 100. For 3/8, 3 ÷ 8 = 0.375, and 0.375 × 100 = 37.5%.
When the denominator divides 100, scale the fraction instead of dividing. 20 × 5 = 100, so 7/20 = 35/100 = 35%, and 3/4 = 75/100 = 75%. Halves, quarters, fifths, tenths, twentieths, twenty-fifths and fiftieths all work this way.
Some fractions give a percent that never ends. 1/3 is 33.333...%, written 33.(3)% with the repeating digit in brackets, or exactly 33 1/3%. 1/6 is 16.(6)% = 16 2/3%, and 1/7 is 14.(285714)%. A fraction in lowest terms gives a percent that ends only when its denominator has no prime factors except 2 and 5.
A mixed number converts as a whole: 1 1/4 is 5/4, which is 125%. Any fraction larger than 1 is more than 100%.
A test score is a fraction too. 42 right out of 48 is 42/48 = 7/8, which is 87.5% in the fraction to percentage converter.
Percent to Decimal Converter FAQ
What is 2/3 as a percent?
66.(6)%, which is exactly 66 2/3% and 66.67% rounded to two decimal places.
What is 5/8 as a percent?
62.5%, since 5 ÷ 8 = 0.625.
What is 1/8 as a percent?
12.5%. An eighth is 0.125, and each eighth adds another 12.5%: 3/8 is 37.5% and 7/8 is 87.5%.
How do I convert a fraction to a percent without a calculator?
If the denominator divides 100, scale the fraction to hundredths. If not, divide by long division to a few places: 5 ÷ 6 = 0.8333..., so 5/6 is 83.(3)%, exactly 83 1/3%.