Exercise Rename as an equivalent fraction with a denominator of 100. 1725 68 100
Exercise Rename as an equivalent fraction with a denominator of 100. 3 4 75 100
Exercise Rename as an equivalent fraction with a denominator of 100. 7 20 35 100
Exercise Write the fraction as a decimal. 13 25 0.52
Exercise Write the fraction as a decimal. 3 5 0.6
Percent A percent is a ratio of a number to one hundred. The symbol for percent is %.
75 100 = 3 x 25 4 x 25 = 3 4 = 75%
Converting a Percent to a Fraction Express the percent as a fraction with the number over 100. Reduce the fraction to lowest terms.
Example 1 Express 88% as a fraction in lowest terms. 88 100 = 22 x 4 25 x 4 = 22 25 = 88%
Example 2 1 2 Express 37 % as a fraction in lowest terms. 37.5 100 = 37 % 1 2 = 37.5 % 37.5 x 10 100 x 10 = 375 1,000 = 375 ÷ 125 1000 ÷ 125 = 3 8 =
Example 3 1 3 Express 13 % as a fraction in lowest terms. 13 100 = 1 3 13 100 = 1 3 13 % 1 3 13 ÷ 100 1 3 = 2 5 40 3 = x 1 100 2 15 =
Example 1750 Write 34% as a fraction.
Example 1 3 Write 29 % as a fraction. 2275
Converting a Percent to a Decimal Replace the percent sign with ÷ 100 (per hundred). Move the decimal point two places to the left to divide by 100.
Example 4 Express 8% as a decimal. 8% = 8 ÷ 100 = 0.08
Example 5 1 4 Express 32 % as a decimal. 32 % 1 4 = 32.25% 32 % 1 4 = 32.25% = 32.25 ÷ 100 = 0.3225
Example 1 2 Write 17 % as a decimal. 0.175
Example 2 3 Write 8 % as a decimal. 0.086
Example 4 5 Write % as a decimal. 0.008
Converting a Decimal to a Percent Multiply by 1 in the form 100%. Move the decimal point two places to the right. Affix the percent symbol.
Example 6 Express 2.4 as a percent. 2.4 = 2.4(100%) = 240%
Example Write 0.19 as a percent. 19%
Example Write 2.3 as a percent. 230%
If the denominator of a fraction is 100, you can use the percent symbol instead of dividing by 100.
43 100 = 43%
4 5
Example 7 3 20 Express as a percent. 3 20 3 x 5 20 x 5 = 15 100 = = 15%
Example 8 7 8 Express as a percent.
Example 8 8 7.000 0.875 6 4 60 56 40 0.875 = 87.5%
Example 9 5 2 Express as a percent. 2 5.0 2.5 4 10 2.5 = 250%
Example 10 5 12 Express as a percent. 12 5.00 0.41 4.8 20 12 8 0.41 12 5.00 0.41 4.8 20 12 8 0.41 8 12 = 0.41 2 3 = 41 % 2 3
Example 11 5 8 Use a proportion to express as a percent.
Example 3 4 Write as a percent. 75%
Example 5 2 Write as a percent. 250%
Example 5 9 Write as a percent. 55 % 5 9 = 55.5%