6th Grade Math Textbook, Progress

Decimals, Fractions, and Percents

11-12

Some percents are notwhole numbers.

30.5% of the grid is shaded.

30.5% is greater than 30% and is less than 31%.

Decimal percents like 30.5% can be renamed

as equivalent decimals by dividing by 100. This

moves the decimal point two placesto the left.

Percent Decimal

30.5% .30.5 0. 305

To rename a fraction with a denominator that is not a factor

of 100 as a percent, you can use a proportion or division.

Use a proportion:


Write the fraction as one ratio

and n: 100 as the other ratio.


Solve the proportion.


Write the percent symbol (%)

next to the value of n.


^38 
?

^38 


^38 
 3  100  8 n



37 


1

2 
n

So 


3

8 
^37 

1

2 
%.

8 n

8

300

8

n

100

n

100

Use division:


 Rename the fraction as a decimal.

Divide the numerator by the

denominator to the hundredths place.

Write the remainder as a fraction.


 Write the decimal as a percent.


^23 
?

^23 

0.66


2

3 
^66 

2

3 
%

So 


2

3 
^66 

2

3 
%.

0.66

3 
 2 .0 0 

1 8

20

 18

2

0.66


2

3 

You can use a number line to relate fractions, decimals, and percents.

Each tick mark on the

number line has a

value of 0.1, 
 1

1

0 
, or is

10% greater than the

value to its left.

Percent means hundredths.

0

100

0% 20% 50% 9 0% 100%

20

100

50

100

90

100

100

100

0 0.2 0.5 0. 9 1

1.3

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