Beginning Algebra, 11th Edition

108.Under existing standards, most of the holes in Swiss
cheese must have diameters between and in. To ac-
commodate new high-speed slicing machines, the U.S.
Department of Agriculture wants to reduce the minimum
size to in. How much smaller is in. than in.? (Source:
U.S. Department of Agriculture.)

Approximately 38 million people living in the
United States in 2006 were born in other
countries. The circle graph gives the fractional
number from each region of birth for these
people. Use the graph to answer each question.
See Example 9.

109.What fractional part of the foreign-born
population was from other regions?

110.What fractional part of the foreign-born
population was from Latin America or Asia?

111.How many people (in millions) were born in
Europe?

112.At the conclusion of the Pearson Education softball league season, batting statistics for
five players were as follows:

11

16

3

8

3

8

13

16

11

16

SECTION 1.1 Fractions 13

113.For each description, write a fraction in lowest terms that
represents the region described.
(a)The dots in the rectangle as a part of the dots in the
entire figure
(b)The dots in the triangle as a part of the dots in the entire
figure
(c)The dots in the overlapping region of the triangle and the rectangle as a part of the
dots in the triangle alone
(d)The dots in the overlapping region of the triangle and the rectangle as a part of the
dots in the rectangle alone

114.Concept Check Estimate the best approximation for the sum.

A. 6 B. 7 C. 5 D. 8

14

26

+

98

99

+

100

51

+

90

31

+

13

27

Source: U.S. Census Bureau.

Other

Asia

Europe

Latin

America

27

100

7

50

27

50

U.S. Foreign-Born Population

By Region of Birth

Player At-Bats Hits Home Runs

Courtney Slade 36 12 3

Kari Heen 40 9 2

Adam Goldstein 11 5 1

Nathaniel Koven 16 8 0

Jonathan Wooding 20 10 2

Use the table to answer each question. Estimate as necessary.

(a)Which player got a hit in exactly of his or her at-bats?

(b)Which player got a hit in just less than of his or her at-bats?

(c)Which player got a home run in just less than of his or her at-bats?

(d)Which player got a hit in just less than of his or her at-bats?

(e)Which two players got hits in exactly the same fractional parts of their at-bats? What

was the fractional part, expressed in lowest terms?

1

4

1

10

1

2

1

3