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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?  IMAGE
 
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:    [IMAGE]
 
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%

      [IMAGE]

      [IMAGE]

      [IMAGE]

      None of the above.


      RESULTS BOX:
          


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

      [IMAGE]

      [IMAGE]

      

      None of the above.


      RESULTS BOX:
          


3.  Which of the following is equal to [IMAGE]?

      .583%
      5.83%
      58.3%
      None of the above.

      RESULTS BOX:
          


4.  Which of the following is equal to [IMAGE] ?

      11%
      5.5%
      200%
      None of the above.

      RESULTS BOX:
          


5.  What fraction is equal to .42%?

      [IMAGE]

      [IMAGE]

      [IMAGE]

      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

Related Activities
Percent Crossword Puzzles
Percent in Daily Life WebQuest
Percent Goodies Game
Percentage Worksheet Generator
Pre-Made Percent Worksheets

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