Basic Mathematics, Converting Fractions, Decimals, and Percents

Converting Fractions, Decimals, and Percents
There are many ways of representing values. Three ways are to represent them as fractions, decimals, or percents. We often need to convert from one of these representations to another. The simple rules for performing these conversions are given below.

Converting fractions to decimals

To convert a fraction to a decimal, simply divide the numerator (the number on top) by the denominator (the number on the bottom) and insert the decimal point in its proper place. You will probably want to round your answer to two places (nearest hundredth).

Converting decimals to percents

To convert a decimal to a percent, simply move the decimal point 2 places to the right and add a percent (%) sign.


Examples,
1. Convert .7 to a percent. Answer: .7 = 70%

2. Convert .713 to a percent. Answer: .713 = 71.3%

3. Convert 1.75 to a percent. Answer: 1.75 = 175%

Converting percents to decimals,

To convert a percent to a decimal, reverse the previous procedure, i.e., move the decimal point 2 places to the left and remove the percent (%) sign.

Examples,

1. Convert 25% to a decimal. Answer: 25% = .25 2. Convert 66.7% to a decimal. Answer: 66.7% = .667 3. Convert 110% to a decimal. Answer: 110% = 1.1