6th Grade Math Textbook, Fundamentals

 &KDSWHU

7-3

Percents Greater Than 100%/

Less Than 1%

Objective To write fractions and decimals greater than 1 and less than 1 hundredth as percents

• To write percents greater than 100% and less than 1% as fractions and decimals

If the attendance at today’s game is 1.5 times greater than
expected, what percent of the expected attendance is the
actual attendance?

To find the percent, rename the decimal 1.5 as a percent.

You can rename decimals greater than 1 as percents.

To multiply by 100, move the decimal point

two places to the right. Write the percent symbol.

1. 5 1. 5 0 150%

The decimal 1.5 is equivalent to 150%, so the actual

attendance is 150% of the expected attendance.

You can rename fractions greater than 1 as percents.

Rename as a percent.^54

Method 1 Write as an Equivalent Decimal

• Divide by the denominator to write the
  equivalent decimal.


• Multiply by 100 to write as a percent.

45 ^5 ^4 1.25 1.25125%

Method 2 Write a Proportion



500  4 n Cross multiply.

 Divide both sides by 4.

125 n 125%

4 n

4

500

4

n

100

5

4

Rename 225% as a decimal.

To divide by 100, move the decimal point

twoplaces to the left. Remove the % sign.

225% 2.25

So 225% 2.25.

Rename 145% as a mixed number.

Write the percent as a fraction with a

denominator of 100. Simplify.

145%  

So 145% ^2920 , or 1 209.

29

20

145  5

100  5

145

100

You can rename percents greater than 100% as decimals or fractions.

You can rename some percents as mixed numbers by breaking them into parts.

116 % 100% 16 %  1  % Rename 16 as a fraction greater than 1.

 1  •

 1  1

So 116 % 1.

2

3

50

3

2

3

1

6

1

6

1

6

2

3

2

3

1

100

50

3

Key Concept

Percents , , or 10 0%

100%  1,

so a percent greater than 100% is

greater than 1, and a percent less

than 100% is less than 1.

100

100

To rename % as a fraction, divide by 100.

This is the same as multiplying by 1001.

50

3