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# Writing Fractions as Percents

Not only can we express a percent as a fraction, but we can express a fraction as a percent. To do this, recall that percent means a ratio that compares a number to 100. So to convert a fraction to a percent, we set up a proportion problem that compares the given fraction to a fraction whose denominator is 100 but whose numerator is unknown.

Example 6

Express the fraction as a percent.

Solution

Step 1 Set up a proportion. Let x represent the unknown numerator (the percent).

Step 2 Solve the proportion using cross multiplication. 1

 1 Â· 100 = 4 Â· x Write the cross products. 100 = 4x Divide each side by 4. 25 = x

So, is equivalent to 25%.

Example 2

Express the fraction as a percent.

Solution

Set up a proportion and solve it.

 3 Â· 100 = 5 Â· x 300 = 5x 60 = x

So, is equivalent to 60%.

Try to work on several examples that use only fractions whose denominators are factors of 100, such as 2, 4, 5, 20, and 25. Then the resulting equivalent percent will be a whole number.

Computing with percents is an extremely important skill. Be sure to work on several problems. This will help you solidify your understanding of the concept of percent, as well as help with your computational skills involving fractions.