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 Writing Fractions as Percents Unit 4 > Lesson 2 of 9

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%

 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.

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:

This lesson is by Gisele Glosser. You can find me on Google.

 Understanding Percent Lessons Meaning of Percent Writing Fractions as Percents Writing Decimals as Percents Writing Percents as Decimals Writing Percents as Fractions Percents < 1 or > 100 Practice Exercises Challenge Exercises Solutions

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