Algebra Demystified 2nd Ed

32 alGebra De mystif ieD

Instead, let us rewrite the mixed numbers as improper fractions before

multiplying:

14 3

2

13

3

39

6

13

2

(^12) ⋅=⋅=== (^13612)
PRACTICE
Convert the mixed numbers to improper fractions, and then find the product.

1.^1234 ⋅= 121
2. 2 3
7
252 ⋅=
3. 2218 ⋅=^15
4.^7121 ⋅=^13
5.^3
4

⋅= 241

SOLUTIONS

1. 12 7
   4

25

12

175

48

(^34) ⋅=⋅= 121 = 34831

2. 2 3
   7

52

25

3

7

156

175

252 ⋅= ⋅=

3. 2217
   8

11

5

187

40

(^18) ⋅=⋅= (^15) = (^42740)

4. 7115
   2

4

3

60

6

(^12) ⋅=⋅= = (^1310)

5.^3
4

2 3

4

9

4

27

16

⋅=⋅= = 41 11611

Dividing Mixed Numbers

Division of mixed numbers is similar to multiplication in that we first convert

the mixed numbers into improper fractions. Recall that we perform division

with fractions by rewriting the problem as a multiplication problem. That is,

we use the following rule:

ab

cd

a

b

c

d

a

b

d

c

ad

bc

=÷=⋅=

✔SOLUTIONS

PRACTICE

Convert the mixed numbers to improper fractions, and then find the product.