Fractions, decimals and percentages are all ways of expressing numbers. Each can be converted from one to another.
Click for a of commonly used percentages, decimals and fractions.
Methods of Conversion
Conversion

Method

Example

Fractions to Decimals 
To convert a fraction into a decimal, divide the numerator by the denominator.

^{3}⁄_{4} = 3 ÷ 4 = 0.75 2^{1}⁄_{2} = ^{5}⁄_{2} = 5 ÷ 2 = 2.5 
Decimals to Fractions

To convert a decimal into a fraction, put the digits after the decimal point as the numerator, and put 10, 100, 1000 ... (depending on the number of decimal places) as the denominator.

0.4 = ^{4}⁄_{10} = ^{2}⁄_{5} 0.75 = ^{75}⁄_{100} = ^{3}⁄_{4} 
Decimals to Percentages  To convert a decimal to a percentage, multiply the decimal by 100.
This is done by moving the decimal point two places to the right. 
0.25 = 0.25 × 100% = 25% 1.625 = 1.625 × 100% = 162.5% 
Percentages to Decimals 
To convert a percentage to a decimal, divide the percentage by 100. This is done by moving the decimal point two places to the left. 
35% = 35 ÷ 100 = 0.35 6% = 6 ÷ 100 = 0.06 
Fractions to Percentages  To convert a fraction to a percentage, multipy the fraction by 100. 
^{1}⁄_{4} = ^{1}⁄_{4} × 100% = 25% ^{9}⁄_{8} = ^{9}⁄_{8} × 100% = 112.5% 
Percentages to Fractions 
To convert a percentage to a fraction, divide the percentage by 100. 
30% = ^{30}⁄_{100} = ^{3}⁄_{10} 150% = ^{150}⁄_{100} = ^{3}⁄_{2} 
Try this activity to practice converting between decimals, fractions and percentages.
Summary
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For help checking your decimal <> fraction conversions:
Conversions by Calculator
Using a typical scientific calculator.
Conversion

Example

Calculator

Fractions to Decimals  Change ^{3}⁄_{16} to a decimal 
0.1875 or 0.1875

Decimals to Fractions

Change 0.56 to a fraction 
14/25 
Decimals to Percentages 
Change 0.45 to a percentage 
45 
Percentages to Decimals 
Change 83% to a decimal 
0.83 
Fractions to Percentages  Change ^{19}⁄_{25} to a percentage  76 
Percentages to Fractions 
Change 74% to a fraction  37/50 