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Number & operations reference

Fraction–Decimal–Percent Conversions

Fractions, decimals, and percents are different ways to represent the same amount. Converting between them helps with money, probability, discounts, data, and everyday comparisons.

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Fraction → Decimal

Divide Numerator by Denominator

3 ÷ 4 = 0.75

Decimal → Percent

Multiply by 100

0.75 × 100 = 75%

Percent → Decimal

Divide by 100

75 ÷ 100 = 0.75

Decimal → Fraction

Use Place Value, Then Simplify

0.75 = 75/100 = 3/4

Common equivalents

Conversion Chart

These common values are worth recognizing quickly.

FractionDecimalPercent
1/100.110%
1/80.12512.5%
1/50.220%
1/40.2525%
1/30.333…33⅓%
3/80.37537.5%
2/50.440%
1/20.550%
3/50.660%
5/80.62562.5%
2/30.666…66⅔%
3/40.7575%
4/50.880%
7/80.87587.5%
9/100.990%
11.0100%

Interactive math tool

Fraction–Decimal–Percent Converter

Choose the form you know, enter a value, and see all three forms.

Fraction3/4
Decimal0.75
Percent75%

How it works

Divide: 3 ÷ 4 = 0.75. Multiply the decimal by 100 for the percent.

Quick Check

A value between 0 and 1 should convert to a percent between 0% and 100%. If 0.35 becomes 3.5% or 350%, the decimal point moved the wrong distance.

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