Algebra Demystified 2nd Ed

22 alGebra De mystif ieD

whole number by the fraction’s denominator and add this product to the

fraction’s numerator. The sum is the new numerator.

W a

b

Wa

b

Wb

b

a

b

Wb

b

a

b

Wb a

b

+= += ⋅+=+= +

11

EXAMPLE

Add the fractions with the rule W + ba= Wbb^ +a

SOLUTION

3 7

8

38 7

8

24 7

8

31

8

+=()⋅+= + =

PRACTICE

Find the sum.

1. 4 1
   3

+=

2.^5

2

11

+=

3. 1 8
   9

+=

4. 2 2
   5

+=

5. 3 6
   7

+=

SOLUTIONS

1. 4 1
   3

43 1

3

12 1

3

13

3

+=()⋅+= + =

2.^5

2

11

5112

11

55 2

11

57

11

+=()⋅+= + =

3. 1 8
   9

19 8

9

17

9

+=()⋅+=

4. 2 2
   5

25 2

5

10 2

5

12

5

+=()⋅+= + =

5. 3 6
   7

37 6

7

21 6

7

27

7

+=()⋅+= + =

✔SOLUTIONS

✔SOLUTION

EXAMPLE

Add the fractions with the rule

PRACTICE

Find the sum.