Basic Mathematics for College Students

572 Chapter 6 Percent

Mixed number percents,such as and , can

be written as decimals by writing the fractional part

of the mixed number in its equivalent decimal form.

1 43 % 10 21 % Write as a decimal.

There is no decimal point to move in 1 43 %. Since 1 43  1  43

1 34 %

To write a decimal as a percent,multiply the decimal

by 100 by moving the decimal point 2 places to the

right, and then insert a % symbol.

Write each decimal as a percent.

0.5015 0 .1% 3.66366% 0.002000.2%0.2%

To write a fraction as a percent,

1.Write the fraction as a decimal by dividing its

numerator by its denominator.

2.Multiply the decimal by 100 by moving the decimal

point 2 places to the right, and then insert a %

symbol.

Fraction  decimal  percent

Write as a percent.

Step 1Divide the numerator by the denominator.

Write a decimal point and some

additional zeros to the right of 3.

The remainder is 0.

Step 2Write the decimal 0.75 as a percent.

3

4

0.7575%

0.75

4  3 .00

 28

20

 20

0

3

4

Sometimes, when we want to write a fraction as a

percent, the result of the division is a repeating

decimal.In such cases, we can give an exact answeror

an approximate answer.

Write as a percent.

Step 1Divide the numerator by the denominator.

Write a decimal point and some

additional zeros to the right of 2.

The repeating pattern is now clear.

We can stop the division.

Step 2Write the decimal 0.6666... as a percent.

Exact Answer: Approximation:

Use to represent 0.666.... Round to the nearest tenth.

 66 66.7%

2

3

%

2

3

66.66... %

2

3

66.66... %

(^23)

0.666666.66.. .%

0.666

3  2 .000

 18

20

 18

20

 18

2

2

3

and since the decimal equivalent of is 0.75, we can write as

1.75%

Write a placeholder 0 (shown in blue)

to the left of the 1.

1

3

4

%1.75%0. 0175

34 1 34 %

      

 







u

To write a percent as a decimal,drop the % symbol

and divide the given number by 100 by moving the

decimal point 2 places to the left.

Write each percent as a decimal.

Write a decimal point and 0 to

the right of the 4 in 14%.

Write a placeholder 0 (shown in blue)

to the left of the 9.

Write a decimal point and 0

to the right of the 8 in 198%.

0.75%0.0075

198%198.0%1.98

9.35%0. 0935

14%14.0%0.14