Page 7 - (1-1)eng

Elly fat mn 3omry ( 1 – 1 )
Simplifying Algebraic Expressions

1. Fractions

A simple fraction is a fraction that has only one fraction line.

2 3  y 5 x  5
Examples , , ,
x 12 x  y x  2
A non-simple fraction is a fraction that has more than one fraction line.

2 3 3  2
x a z x y
Examples , , ,
3 1 5 5  3
c z x y
Numerator of complex fraction
1 3
1 3 +
x  y Main fraction line x y
5  2 5 – 2
x y x y

Denominator of complex fraction

Example ; Simplify

4 b 2
9 a 2 4 b 2 8 b 4 b 2 3 a 3 ab
(a) =  =  =
8 b 9 a 2 3 a 3 9 a 2 8 b 6
3 a 3

2  3

(b) x x 2
5  1
x

2  3
x x 2 The LCD of the secondary denominators ( x and x ) is x
2
2
1
5 
x
 2 3 
 x  x 2   x 2 2 x  3
 1  2 = 2
 5    x 5 x  x
 x 

Calculus 6 Unit (1)