## Conversions 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 21⁄2 = 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. Then simplify the fraction whenever possible. 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

 >-----> Fractions Decimals Percentages Fractions Divide numerator by denominator Multiply by 100 Decimals Put over 10, 100 or 1000... Multiply by 100 Percentages Divide by 100 Divide by 100

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