Page 196 - Basic College Mathematics with Early Integers

S E C T ION 3 .1 I INTRODUCTION TO FRACTIONS AND MIXED NUMBERS 173

9
The shaded part of the group of circles below is . The shaded part of the rectangle
6 6 4
is . Recall that simplifies to 1 and notice that the entire rectangle (1 whole
6 6
figure) is shaded below.
Whole
circle

6
6

$

A mixed number contains a whole number and a fraction. Mixed numbers are
greater than 1. Above,we wrote the shaded part of the group of circles as the improper
9
fraction . Now let’s write the shaded part of the same group of circles as a mixed
4 1
number (see below). The shaded part of the group of circles’ area is 2 . Read this
4
as “two and one-fourth.”

2 whole circles ~ circle

PRACTICE 10
Identify each number as a
2~
proper fraction, improper
fraction, or mixed number.
Example 10 Identify each number as a proper fraction, improper fraction, or 5 7
a. b.
mixed number. 8 7
6 13 14 13
a. is a proper fraction b. is an improper fraction c. d.
7 12 13 14
2 99 1 100
c. is an improper fraction d. is a proper fraction e. 5 f.
2 101 4 49
7 93 PRACTICE 11–12
e. 1 is a mixed number f. is an improper fraction
8 74
Represent the shaded part of
Work Practice 10 each figure group as both an
improper fraction and a mixed
number.
11.
1 1
The mixed number 2 represents 2 + .
4 4
1 1 1
The mixed number -3 represents - a3 + b or -3 - .We review this later
5 5 5 12.
in this chapter.

Examples Represent the shaded part of each figure group as both an
improper fraction and a mixed number.
11. Whole object
Answers
10. a. proper fraction b. improper
fraction c. improper fraction
improper fraction: d d. proper fraction e. mixed number
f. improper fraction
mixed number: 1a 8 2 5 1
Continued on next page 11. , 2 12. , 1
3 3 4 4