Page 273 - Basic College Mathematics with Early Integers

250 C HAPTE R 3 I FRACTIONS

To write a negative fraction as a negative mixed number, we use a similar pro-
cedure. We simply disregard the negative sign, convert the improper fraction to a
mixed number, then reinsert the negative sign.

PRACTICE 19–20 Examples Write each as a mixed number.
Write each as a mixed number.
22 2
37 46 19. -
19. - 20. - 5 =-4 5
8 5 ()* ()*
4
Î
522 22 = 4 2
-20 5 5
2
9 1
20. - =- 2
4 4
()* (')'*
Î
2
49 9 1
-8 4 = 2 4
1
Work Practice 19–20

We multiply or divide with negative mixed numbers the same way that we mul-
tiply or divide with positive mixed numbers. We first write each mixed number as a
fraction.

PRACTICE 21–22 Examples Perform the indicated operations.
3 3 1
#
#
21. 2 # a -3 b 2 3 22 14 22 14 2 # 11 14 28 3
4 5 # 1 #
21. -4 =- =- =- =- or -5
#
5 11 5 11 5 11 5 # 11 5 5
2 1 1
22. -4 , 1
#
7 4 1 1 7 5 7 2 7 2 14
22. -2 , a -2 b =- , a- b =- # a- b = =
#
3 2 3 2 3 5 3 5 15
a Q Q
Work Practice 21–22
Recall that
#
(-) (-) =+
To add or subtract with negative mixed numbers, we must be very careful!
Recall that

2 2
-3 means - a3 b
5 5
This means that

2 2 2 2
Answers Copyright 2012 Pearson Education, Inc.
-3 =- a3 b =- a3 + b =-3 - This can sometimes be easily overlooked.
5 1 5 5 5 5
19. -4 20. -9
8 5
To avoid problems, we will add or subtract negative mixed numbers by rewrit-
9 3
21. -9 22. -3 ing as addition and recalling how to add signed numbers.
10 7