Writing Fractions as Percents		Unit 4

Problem:	Last marking period, Ms. Jones gave an A grade to 15 out of every 100 students and Mr. McNeil gave an A grade to 3 out of every 20 students. What percent of each teacher's students received an A?
	Solution Teacher Ratio Fraction Percent Ms. Jones 15 to 100 15% Mr. McNeil 3 to 20 15%
Solution:	Both teachers gave 15% of their students an A last marking period.

In the problem above, the fraction for Ms. Jones was easily converted to a percent. This is because It is easy to convert a fraction to a percent when the denominator is 100. If a fraction does not have a denominator of 100, you can convert it to an equivalent fraction with a denominator of 100, and then write the equivalent fraction as a percent. This is what was done in the problem above for Mr. McNeil. Let's look at some problems in which we use equivalent fractions to help us convert a fraction to a percent.

Example 1:	Write each fraction as a percent:
	Solution Fraction Equivalent Fraction Percent 50% 90% 80%

Example 2:	One team won 19 out of every 20 games played, and a second team won 7 out of every 8 games played. Which team has a higher percentage of wins?
	Solution Team Fraction Equivalent Fraction Percent 1 95%     2 87.5%
Solution:	The first team has a higher percentage of wins.

In Examples 1 and 2, we used equivalent fractions to help us convert each fraction to a percent. Another way to do this is to convert each fraction to a decimal, and then convert each decimal to a percent. To convert a fraction to a decimal, divide its numerator by its denominator. Look at Example 3 below to see how this is done.

Example 3:	Write each fraction as a percent:
	Solution Fraction Decimal Percent 87.5% 95%      1.5%

Now that you are familiar with writing fractions as percents, do you see a pattern in the problem below?

Problem:	If 165% equals , and 16.5% equals , then what fraction is equal to 1.65%?
	Solution Percent Fraction 165% 16.5% 1.65%

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Summary:

To write a fraction as a percent, we can convert it to an equivalent fraction with a denominator of 100. Another way to write a fraction as a percent is to divide its numerator by its denominator, then convert the resulting decimal to a percent.

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Exercises

Directions: Read each question below. Select your answer by clicking on its button. Feedback to your answer is provided in the RESULTS BOX. If you make a mistake, choose a different button.

1.  Which of the following is equal to 36%

None of the above.       RESULTS BOX:

2.  Which of the following is equal to 62.5%?

None of the above.       RESULTS BOX:

3.  Which of the following is equal to ?

.583%       5.83%       58.3%       None of the above.       RESULTS BOX:

4.  Which of the following is equal to ?

11%       5.5%       200%       None of the above.       RESULTS BOX:

5.  What fraction is equal to .42%?

All of the above.       RESULTS BOX:

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Lesson Access Meaning of Percent Writing Fractions as Percents Writing Decimals as Percents Writing Percents as Decimals Writing Percents as Fractions Percents Less Than 1 or Greater Than 100 Practice Exercises Challenge Exercises Solutions Related Activities Access Interactive Puzzle Printable Worksheet Percent Goodies Game
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