Basic Mathematics for College Students

1

Chapter 6 Summary and Review 571

To write a percent as a fraction,drop the % symbol
and write the given number over 100. Then simplify
the fraction, if possible.

Write 22% as a fraction.

Drop the % symbol and write 22 over 100.

To simplify the fraction, factor 22 and 100.

Then remove the common factor of 2 from the

numerator and denominator.

Thus,22%^1150.



2

1

 11

2

1

 50

22%

22

100

Percents such as 9.1% and 36.23% can be written
as fractions of whole numbers by multiplying the
numerator and denominator by a power of 10.

Write 9.1% as a fraction.

Drop the % symbol and write 9.1 over 100.

To obtain an equivalent fraction of whole

numbers,we need to move the decimal point in

the numerator one place to the right. Choose

as the form of 1 to build the fraction.

Multiply the numerators.

Multiply the denominators.

Thus,9.1%1,000^91.



91

1,000

1010



9.1

100



10

10

9.1%

9.1

100

Mixed number percents, such as and , can be
written as fractions of whole numbers by performing
the indicated division.

2 31 % 23 65 % Write as a fraction.

Drop the % symbol and write over 100.

The fraction bar indicates division.

Write as an improper fraction and then

multiply by the reciprocal of 100.

Multiply the numerators.

Multiply the denominators.

Thus, 2 31 % 3007.



7

300

^72 31

3



1

100

 2

1

3

 100

2 2 13

1

3

%

(^2 13)
100

2 13 %

When percents that are greater than 100%are written
as fractions, the fractions are greater than 1.

Write 170% as a fraction.

Drop the % symbol and write 170 over 100.

To simplify the fraction, factor 170 and 100.

Then remove the common factor of 10 from the

numerator and denominator.

Thus,170%^1710.



10

1

 17

10

1

 10

170%

170

100

When percents that are less than 1%are written as
fractions, the fractions are less than 1001.

1

Write 0.03% as a fraction.

Drop the % symbol and write 0.03 over 100.

To obtain an equivalent fraction of whole

numbers,we need to move the decimal

point in the numerator two places to the

right. Choose as the form of 1 to build

the fraction.

Multiply the numerators and multiply the

denominators. Since the numerator and

denominator do not have any common

factors (other than 1), the fraction is in

simplified form.

Thus,0.03%10,000^3.



3

10,000

100100



0.03

100



100

100

0.03%

0.03

100