6th Grade Math Textbook, Progress

Relate Percents to Fractions

11-10

To rename a percent as a fraction:


 Drop the percent symbol. Then write

the given percent as the numerator

and 100 as the denominator.


 Write the fraction in simplest form.

Use equivalent fractions:


Write an equivalent fraction with

a denominator of 100.


Write the fraction as a percent.

?

 
 
80%

So^4 
80%.

5

80

100

4 
 20

5  20

4

5

4

5

Use a proportion:


Write the fraction as one ratio and

n: 100 as the other ratio.


Solve the proportion and write the

percent symbol (%) next to the

value of n.

?

 3  100 
 25 n

12 
n

So^3 
12%.

25

25 n

25

300

25

n

100

3

25

n

100

3

25

3

25

36%


36 %

So 36%
.

9

25

9

25

36  4

100  4

36

100

?

A percent is a ratio that compares a number to 100.

Percent means “per hundred” or “out of 100.”

The symbol for percent is %.

In the grid, 25 out of 100 squares are red.

You can express this ratio as:

Ratio Fraction Percent

25 to 100 25%

25 : 100

To rename a fraction as a percent:

36

100

25

100

Think

GCF 
 4

1.3

8206-2_394-395 10/7/07 12:07 PM Page 394