From a fraction to a decimal

The top number is the numerator; the bottom number is the denominator. To convert 6/7, divide 6 by 7.

6 ÷ 7 ≈ 0.857143

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.

(6 ÷ 7) × 100 ≈ 85.7143%

Conversion at a glance

FractionDecimalPercent
6/7≈ 0.857143≈ 85.7143%

Picture the value

Imagine a whole divided into 7 equal pieces. Taking 6 of those pieces gives you 6/7 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.