
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%


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


3. Which of the following is equal to
?


4. Which of the following is equal to
?


5. What fraction is equal to .42%?


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