Converting Decimals, Fractions, and Percents

[Pages:9]Refresher Course

Converting Decimals, Fractions, and Percents

Definitions

? Decimal - Any number shown with a decimal point, based on tenths, hundredths, etc. (0.2, 0.375, 86.4)

? Fraction - One or more of the equal parts of a whole, expressed in the form a/b. (1/3, 2 5/8, 7/4)

? Percent- The word comes from Latin and means "for each hundred" or "per hundred." (70%, 6.5%, 4.09%)

Converting Fractions to Decimals

To convert a fraction to a decimal, divide the numerator by the denominator. Do this until you get a decimal that terminates or repeats continuously.

Example 1: Convert 3/4 to a decimal 3/4 = 3?4= 0.75 (terminating decimal)

Example 2: Convert 2/3 to a decimal 2/3 = 2?3= 0.66 (repeating decimal)

Converting Fractions to Percents

To convert a fraction to a percent, change the fraction to a decimal. Then multiply the decimal by 100 or move the decimal point two places to the right. Example 1: Convert 1/2 to a percent

1/2= 1? 2 = 0.50 0.50x 100= 50.00=50% Example 2: Convert 1/3 to a percent 1/3= 1?3= 0.333 0.333x 100= 33.300=33.3%

Converting Decimals to

Fractions

In order to convert a decimal to a fraction, place the number that follows the decimal point over the place that it is in (tenths, hundredths, thousandths, etc.). Then simplify as necessary. Example 1: Convert 0.7 to a fraction

0.7= 7/10 (7 is in the tenths place) Example 2: Convert 0.25 to a fraction

0.25= 25/100= 1/4 (25 is in the hundredths place.)

Converting Decimals to Percents

In order to convert a decimal to a percent, either multiply the decimal by 100 or move the decimal point two places to the right.

Example 1: Convert 0.20 to a percent 0.20x 100= 20.00= 20% or 0.20= 0. 2 0= 20% Example 2: Convert 4.00 to a percent 4.00= 4.00x 100= 400.00= 400%

or 4.00= 4. 0 0=400%

Converting Percents to

Fractions

When converting percents to fractions, place the percent numbers over 100. Then simplify as necessary. Example 1: Convert 85% to a fraction

85% = 85/100= 17/20 Example 2: Convert 12.5% to a fraction

12.5%= 12.5/100 = 1/8

Converting Percents to Decimals

When converting a percent to a decimal, either divide the percent by 100 or move the decimal point two places to the left. Example 1: Convert 72% to a decimal

72%= 72? 100= 0.72 Example 2: Convert 62.5% to a decimal

62.5%= 62.5? 100= 0.625

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