Question

=press each of the following as a fraction in its
mplest form
7
4.
+
ба
9a
(6)
3 1 5
+
2b
3b 6b
f - 4h 2f - 5h
3k 8k
5. Express each of the f
simplest form
2
(a)
a +3 af
+40+
+
1
1
(d)
3c 3d
(b)
b2 - 5b-6 b-
1
+
62
2p - 8p-10
4a
3a (P + 3.P-1 2p+1
x-3y 3x - 99
22
3z
press each of the following as a fraction in its
plettorn.
(d)
+
1+ y
/

Answer 1

(i) HCF of 24 and 40 is 8.

∴ 24 : 40 = 2440= 24 ÷ 840 ÷ 8= 35 = 3 : 5

Hence, 24 : 40 in its simplest form is 3 : 5.

(ii) HCF of 13.5 and 15 is 1.5.

13.515=135150The HCF of 135 and 150 is 15.=135 ÷ 15150 ÷ 15=910

Hence, 13.5 : 15 in its simplest form is 9 : 10.

(iii) 203 : 152=40 : 45

The HCF of 40 and 45 is 5.

∴ 40 : 45 = 4045=40 ÷ 545 ÷ 5=89 = 8 : 9

Hence, 623 : 712 in its simplest form is 8 : 9

(iv) 9 : 6

The HCF of 9 and 6 is 3.

∴ 9 : 6 = 96=9 ÷ 36 ÷ 3 = 3 : 2

Hence, 16:19 in its simplest form is 3 : 2.

(v) LCM of the denominators is 2.

∴ 4 : 5 : 92 = 8 : 10 : 9

The HCF of these 3 numbers is 1.

∴ 8 : 10 : 9 is the simplest form.

(vi) 2.5 : 6.5 : 8 = 25 : 65 : 80

The HCF of 25, 65 and 80 is 5.

∴ 25 : 65 : 80 = 256580= 25 ÷ 565 ÷ 580 ÷ 5=51316 = 5 : 13 : 16

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