Unit 3 Booklet

B. Multiplying, dividing, adding and subtracting algebraic fractions
Exercise 2
1. Simplify these fractions by multiplying:
(a) 1 x 3
(b) 2 x 1 (c) 5 3 (d)
3
x
x
20
3 5
3 6
6 5
10 3
(e) 1 x 12 (f)
9
x
33
(g)
7
(h)
6
11 9
x
5
8 x 2 10 1
3
(i)
a c
x
b d
(j) x v (k) m m
(l) a b
y
x w
x
x
n n
b a
(m)
x x
x (n) x x (o) (p)
2 5
x a a
x
n
7
5 5
x
3
(q)
a 6
x
6
(r) x
d
2 x 1 (s) a
x
2 c
x (t) a
c a
3 x
9
3
n
9
a
2. Change these divisions to multiplications and simplify:
(a) 3 ¸ 6
(b) 2 ¸ 8 (c) 3 ¸ 9 (d)
9
¸
18
7 7
3 3
8 4
10 5
(e)
x ¸ x
(f)
a ¸ a d
(g) ¸ d
m
(h) ¸
m
2 3
8 2
3 6
10 50
(i) a 2 a
(j) (k) (l)
3 ¸ b 2 b
3
6 ¸ r 4 r 2
2
6 ¸ a ¸ a
2
b b
(m) a 2 a
(n) (o) (p)
d ¸
1 5
d 2
w 2 ¸
1 1
w
a 3 ¸ 2x
a 2
x 2
y ¸ d
(q)
a 2
b ¸
a
b
(r)
2a 2
5d ¸ a 2
2 d 2
3. Do the following additions and subtractions:
(a) 1 + 1 (b) 1 + 2 (c) 3 Ð 1 (d) 1 + 1
3 4
4 3
4 5
5 3
(e) 1 Ð 1 (f) 4 Ð 1 (g) 1 + 1 (h) 1 Ð 1
3 5
7 2
2 5
2 5
(i) 5
(j) (k) (l)
8
Ð 1
7
4
+ 1
x + a
c + d
10 5
3 2
5 2
(m) e Ð h (n) m Ð n (o) 2x + k (p) u 2w
3 4
4 8
3 2
2 Ð 5
(q) 4r + s (r) a 2d (s) (t)
5 2
3 Ð 2x + 3y
3x + 2u
5
3 2
4 5
Mathematics Support Materials: Mathematics 3 (Int 2) Ð Student Materials 5