Algebra Demystified 2nd Ed

Chapter 1 FraCtions 21

PRACTICE

Find the sum.

1.^5
36

4

9

7

12

++ =

2.^11
24

3

10

1

8

++=

3.^1
4

5

6

9

20

++ =

4.^3
35

9

14

7

10

++=

5.^5
48

3

16

1

6

7

9

+++=

SOLUTIONS

1.^5
36

4

9

7

12

5

36

4

9

4

4

7

12

3

3

5

36

16

3

++ =+⋅











+⋅







=+

66

21

36

42

36

7

6

+==

2.^11
24

3

10

1

8

11

24

5

5

3

10

12

12

1

8

15

1

++=⋅











+⋅







+⋅

55

55

120

36

120

15

120

106

120

53

60









=++==

3.^1
4

5

6

9

20

1

4

15

15

5

6

10

10

9

20

3

3

++ =⋅











+⋅







+⋅







=+^15 +==

60

50

60

27

60

92

60

23

15

4.^3
35

9

14

7

10

3

35

2

2

9

14

5

5

7

10

7

7

++=⋅











+⋅







+⋅







=+^6 +==

70

45

70

49

70

100

70

10

7

5.^5
48

3

16

1

6

7

9

5

48

3

3

3

16

9

9

1

6

24

24

+++= ⋅











+⋅







+⋅









+⋅









= +++=

7

9

16

16

15

144

27

144

24

144

112

144

1178

144

89

72

=

Whole Number–Fraction Arithmetic

A whole number can be written as a fraction whose denominator is 1. With this

in mind, we can see that addition and subtraction of whole numbers and frac-

tions are nothing new. To add a whole number to a fraction, we multiply the

✔SOLUTIONS

PRACTICE

Find the sum.