Reducing An Algebraic Fraction To Simplest Worksheet
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1REDUCING an ALGEBRAIC FRACTION to SIMPLEST FORM
1.
Simplify by first finding the common factor:
a
x
3
2
2
3
6
b
4
12
y
a
a
xy
y
(a)
(b)
(c)
(d)
6
2
ab
2
y
ab
14
2
2
3
2
3
6
b
25
b
15
b
p
10
q
xy
x
(e)
(f)
(g)
(h)
2
9
b
10
b
2
s
6
x
xy
2.
Simplify the following by first factorising the numerator and/or denominator:
2
2
2
2
b
4
x
81
a
25
y
36
(a)
(b)
(c)
(d)
b
2
a
5
x
9
y
6
2
2
2
2
c
49
a
64
p
1
q
9
(e)
(f)
(g)
(h)
2
c
14
2
a
16
3
q
9
5
p
5
2
2
2
2
2
2
a
b
x
y
2
m
18
3
d
48
(i)
(j)
(k)
(l)
3
a
3
b
5
x
5
y
2
m
6
12
d
48
2
2
x
3
x
2
ax
5
a
a
1
p
1
(m)
(n)
(o)
(p)
2
2
2
x
25
x
1
p
2
p
1
a
2
a
1
2
2
2
b
6
p
9
c
2
c
15
3
x
5
x
2
(q)
(r)
(s)
2
2
2
b
9
c
25
x
4
2
2
2
c
4
c
32
y
6
y
8
p
4
p
5
(t)
(u)
(v)
2
2
2
c
c
56
y
y
12
p
2
p
1
2
2
2
2
x
13
x
6
6
a
13
a
5
10
b
33
b
7
(w)
(x)
(y)
2
2
2
x
9
x
18
3
a
11
a
4
10
b
37
b
7
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