18
24
18 3
24 4
3
4
5
51 1


20 20 4 4
4x 2 y
6y2
4 2 xxy
6 3 yy
2x 2
3y
a (b  2c)
2ab
a (b  2c)
2 ab
mn
m  n 2
mn
m  nm  n
b  2c
2b
1
mn
3x 2 y
6x  9 y
3 x2 y
3(2 x  3 y )
x2 y
2x  3y
p2
6 p  3 p2
p2
3 p(2  p)
p2
3 p( p  2)
x2
2y
AF 1.3 – Algebraic Fractions: Simplification,
Multiplication and Division
1
3p
x 1
y
Page 1 of 4
June 2012
15 3 24 3

81 357
9
7
5 a 1 14 2

71
a1
x
6( x  2)

3( x  2)
x2
3(m  4)
5

10
m(m  4)
3
2m
3m  12
5
 2
10
m  4m
5 19

4 8
1
2x
5 8

4 19
5 82

41 19
10
19
7p 3

12 8
m2
 6m
n

●

●

●
7p 8

12 3
7p 82

12 3 3
14 p
9
m2 6m

n
1
2
m
1

n 6m
m1  m
1

n
6 m1
m
6n
AF 1.3 – Algebraic Fractions: Simplification,
Multiplication and Division
Page 2 of 4
June 2012
4( x  3) 24

9
5x
4 1 ( x  3) 5 x

9
246
5 x( x  3)
54
2a  4 a  2

15
6
2a  4
6

15
a2
2(a  2)1
62

155
(a  2)1
4
5
12 ab 2
8bc
5 x  20
5
9u  18
2u  4
6t  9
12  8t
b
b  7b
( j  4)( j  4)
3 j  12
2(5  v)
3v  15
9r 2  3r
16 r  48r 2
2
4 15

5 16
4a 9
x
3 a
32 h 2 27 j
x
9j
48 h
3d  2
4
x
3
3d  2
2r  4 5r  15
x
3r  9 7r  14
10 p  5 3q  3
x
3
2 p 1
4g 2  6g
3
x
8
6g  9
3  2 y 18 y 2  6 y
x
33 y  11
7  2y
AF 1.3 – Algebraic Fractions: Simplification,
Multiplication and Division
Page 3 of 4
June 2012
6 xy  5 y 2 12 x 2  10 xy

4 x  10 y
12 x  30 y
4m  16 8m  32

m
8m
3ab
2c
9
2
1
b7
2
3
3
4
j4
3
3
16
3
4
4
3
10
21
g
4
6 y (3  2 y )
11(7  2 y )
3y
2x
AF 1.3 – Algebraic Fractions: Simplification,
Multiplication and Division
Page 4 of 4
June 2012