## Conversions

Fractions, decimals and percentages are all ways of expressing numbers.

Each can be converted from one to another.

Below are some of the commonly used percentages, decimals and fractions.

 Percentages 5% 10% 15% 20% 25% 30% 40% 50% Fractions 1⁄20 1⁄10 3⁄20 1⁄5 1⁄4 3⁄10 2⁄5 1⁄2 Decimals 0.05 0.1 0.15 0.2 0.25 0.3 0.4 0.5

 Percentages 60% 70% 75% 80% 90% 100% Fractions 3⁄5 7⁄10 3⁄4 4⁄5 9⁄10 1 Decimals 0.6 0.7 0.75 0.8 0.9 1.0

### Methods of Conversion

 Fractions to Decimals Example To convert a fraction into a decimal, divide the numerator (the top number) by the denominator (the bottom number). Check this type of conversion - 7⁄8 = 7 ÷ 8 = 0.875 41⁄2 = 9⁄2 = 9 ÷ 2 = 4.5 Decimals to Fractions Example 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. Check this type of conversion - 0.7 = 7⁄10 0.35 = 35⁄100 = 7⁄20 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. 0.45 = 0.45 × 100% = 45% 1.25 = 1.25 × 100% = 125% 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. 3⁄4 = 3⁄4 × 100 = 300⁄4 = 75% 17⁄8 = 15⁄8 = 15⁄8 × 100 = 187.5% Percentages to Fractions To convert a percentage to a fraction,divide the percentage by 100. This is done by changing the denominator to 100 and then simplifying, if possible. 70% = 70⁄100 = 7⁄10 120% = 120⁄100 = 6⁄5 = 11⁄5

### 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