Question

6. Find the third proportional to the following. (b) 0.4, 0.6 (c) 2/3 m, 3/8 m(d) 1/5 :1/4
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Answer 1

Step-by-step explanation:

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