From a fraction to a decimal
The top number is the numerator; the bottom number is the denominator. To convert 1/3, divide 1 by 3.
1 ÷ 3 ≈ 0.333333
This fraction has a repeating decimal. The value shown above is rounded to six decimal places.
From a decimal to a percentage
A percentage measures a value out of one hundred. Multiply the decimal by 100 and write a percent sign.
(1 ÷ 3) × 100 ≈ 33.3333%
Conversion at a glance
| Fraction | Decimal | Percent |
|---|---|---|
| 1/3 | ≈ 0.333333 | ≈ 33.3333% |
Picture the value
Imagine a whole divided into 3 equal pieces. Taking 1 of those pieces gives you 1/3 of the whole. The shaded portion in the circle above shows this share.
Check your method
Always divide the numerator by the denominator, in that order. To turn a percentage back into a decimal, divide by 100. If you need an exact answer for a repeating value, keep the fraction instead of rounding it.