Page 59 - MarceAlgebra Demystified

46 CHAPTER 2 Introduction to Variables

2t 14 2t 11 14 5 22t 70 22t þ 70
þ ¼ þ ¼ þ ¼
15 33 15 11 33 5 165 165 165
18 3 18 4 3 x 72 3x 72 3x
¼ ¼ ¼
x 4 x 4 4 x 4x 4x 4x
9 5
þ
16t 12
16t ¼ 2 2 2 2 t and 12 ¼ 2 2 3 so the LCD ¼ 2 2 2 2 3 t
¼ 48t

48t 16t ¼ 3 and 48t 12 ¼ 4t

9 5 9 3 5 4t 27 20t 27 þ 20t
þ ¼ þ ¼ þ ¼
16t 12 16t 3 12 4t 48t 48t 48t
71 13

84 30x
84 ¼ 2 2 3 7 and 30x ¼ 2 3 5 x

LCD ¼ 2 2 3 5 7 x ¼ 420x and
420x 84 ¼ 5x and 420x 30x ¼ 14

71 13 71 5x 13 14 355x 182 355x 182
¼ ¼ ¼
84 30x 84 5x 30x 14 420x 420x 420x

Practice

Do not try to reduce your solutions. We will learn how to reduce
fractions like these in a later chapter.
4 2x
1: þ ¼
15 33
x 7
2: ¼
48 30
3 4
3: þ ¼
x 25

2 6
4: þ ¼
45x 35