Page 261 - Basic College Mathematics with Early Integers

238 C HAPTE R 3 I FRACTIONS

Writing an Improper Fraction as a Mixed Number or a Whole
Number
To write an improper fraction as a mixed number or a whole number:

Step 1: Divide the denominator into the numerator.
Step 2: The whole number part of the mixed number is the quotient. The frac-
tion part of the mixed number is the remainder over the original de-
nominator.
remainder
quotient
original denominator

For example,
Step 1
Step 2
6
1 6
5 5 2 ; remainder
: 35 = 1
3 3 3 ; original denominator
3
æ
2
quotient
PRACTICE 9 Example 9 Write each as a mixed number or a whole number.

Write each as a mixed number
30 16 84
or a whole number. a. b. c.
7 15 6
9 23 48
a. b. c.
5 9 4 Solution: When the remainder is
62 51 21 4 0, the improper fraction is a whole
d. e. f. 30 30 2 92
13 7 20 a. : 730 = 4 number. For example, = 23.
7 7 7 4
28
2 23
492
1
16 8
b. : 1516 16 1
15 = 1 12
15 15 15
12
1
0
14
84 84
c. : 684 = 14 Since the remainder is 0, the result is the whole number 14.
6 6
6
24

24
0
Work Practice 9

Copyright 2012 Pearson Education, Inc.

Answers
4 5 10
9. a. 1 b. 2 c. 12 d. 4
5 9 13
2 1
e. 7 f. 1
7 20