Fraction to Decimal Conversion

REF

Common Fractions

FractionDecimalPercentage
1/20.550%
1/30.333...33.33%
2/30.666...66.67%
1/40.2525%
3/40.7575%
1/50.220%
2/50.440%
3/50.660%
4/50.880%
1/60.1666...16.67%
5/60.8333...83.33%
1/80.12512.5%
3/80.37537.5%
5/80.62562.5%
7/80.87587.5%
1/100.110%
1/120.0833...8.33%
1/160.06256.25%
1/200.055%
1/250.044%
1/500.022%
1/1000.011%

Halves, Quarters, Eighths, Sixteenths

FractionDecimalPercentage
1/160.06256.25%
1/80.12512.5%
3/160.187518.75%
1/40.2525%
5/160.312531.25%
3/80.37537.5%
7/160.437543.75%
1/20.550%
9/160.562556.25%
5/80.62562.5%
11/160.687568.75%
3/40.7575%
13/160.812581.25%
7/80.87587.5%
15/160.937593.75%

Thirds and Sixths

FractionDecimalPercentage
1/60.1666...16.67%
1/30.3333...33.33%
1/20.550%
2/30.6666...66.67%
5/60.8333...83.33%

Converting Fractions to Decimals

To convert a fraction to decimal, divide the numerator (top number) by the denominator (bottom number). For example: 3/4 = 3 ÷ 4 = 0.75. Some fractions produce repeating decimals (like 1/3 = 0.333...). To convert decimal to percentage, multiply by 100 (0.75 × 100 = 75%). These conversions are essential for math, cooking, construction, and everyday calculations.