Page 58 - MarceAlgebra Demystified

CHAPTER 2 Introduction to Variables 45

Solutions

15 15 x 15 6 15 6 15 3 45
1: 32 ¼ ¼ ¼ ¼ ¼
x 32 6 32 x 32 x 16 x 16x
6
9x 9x 2x 9x 17 9x 17 9 17 153
2: 14 ¼ ¼ ¼ ¼ ¼
2x 14 17 14 2x 14 2x 14 2 28
17
4 4 21x 4 8 32
3: 3 ¼ ¼ ¼
21x 3 8 3 21x 63x
8
3
1
4: 8y ¼ 3 ¼ 3 y ¼ 3 y ¼ 3

1 8y y 8y 1 8y 1 8
y
2 2 7 2 11y 22y
5: x ¼ ¼ ¼
7 x 11y x 7 7x
11y
12x 12x 23 12x 6y 72xy
6: 7 ¼ ¼ ¼
23 7 6y 7 23 161
6y
3 3 2 3 9y 27y
7: ¼ ¼ ¼
2 1 9y 1 2 2
9y
x x 5 x 1 x
8: 2 ¼ ¼ ¼
5 2 1 2 5 10

Adding and Subtracting Fractions with

Variables

When adding or subtracting fractions with variables, treat the variables as if
they were prime numbers.

Examples

6 y 6 4 y 25 24 25y 24 þ 25y
þ ¼ þ ¼ þ ¼
25 4 25 4 4 25 100 100 100