Algebra Demystified 2nd Ed

Chapter 1 FraCtions 31

4. 3149 − (^16)

5.^234 +^56

6. 
   

   4223 + (^15)

   
   


7. 
   

   53121 −^38

   
   

SOLUTIONS

1. 2117
   7

3

2

34

14

21

14

55

14

(^37) +=+= += 21 = (^31314)

2. 2137
   16

23

12

111

48

92

48

203

48

165 += 1211 +=+==^44811

3. 4129
   6

5

3

29

6

10

6

39

6

13

2

(^56) +=+ =+= (^23) == (^612)

4. 3131
   9

7

6

62

18

21

18

41

18

(^49) −=−= −= (^16) = 2185

5. 2 5
   6

11

4

5

6

33

12

10

12

43

12

(^34) +=+ =+== 3127

6. 4214
   3

11

5

70

15

33

15

103

15

32 +=^15 +=+= =^61513

7. 5361
   12

27

8

122

24

81

24

41

24

121 −=^38 −=−==^12417

Multiplying Mixed Numbers

When multiplying mixed numbers we first convert them to improper fractions

before multiplying. Simply multiplying the whole numbers and the fractions

is incorrect because there are really two operations involved—addition and

multiplication:

14 1 1

2

4 1

3

(^12) ⋅=+ (^13) ()⋅+()
✔SOLUTIONS