Question

LALUI
In each of the following, check whether or not the given ratios form a proportion
18 and 12.15 (i) 16:28 and 24. 42 (H) 12 ÷ 3 and 8 2​

Answer 1

Answer:

(i) 8 : 16 and 12 : 15

Since 8 : 16 = 8/16 = 1/2

and 12 : 15= 12/15 = 4/5

∴ Ratio 8 : 16 ≠ ratio 12 : 15, they are not in a proportion.

(ii) 16 : 28 and 24 : 42

Since 16 : 28 = 16/28 = 4/7

and 24 : 42 = 24/42 = 4/7

∴ Ratio 16 : 28 and 24 : 42 are equal, so they form a proportion.

(iii) 12 ÷ 3 and 8 ÷ 2

Since 12/3 = 4 and 8/2 = 4

∴ Ratio 12 ÷ 3 and 8 ÷ 2 are equal, so they

form a proportion.

(iv) 25 : 40 and 20 : 32

Since 25 : 40 = 25/40 = 5/8

and 20 : 32 = 20/32 = 5/8

∴ Ratio 25 : 20 and 20 : 32 are equal, so

they form a proportion.

(v) 15/18 and 10/12

Since 15/18 = 5/6 and 10/12 = 5/6

∴ Ratio 15/18 and 10/12 are equal, so they form a proportion.

(vi) 7/8 and 14 : 16

Since 7/8 = 7/8 and 14 : 16 = 14/16 = 7/8

∴ Ratio 7/8 and 14 : 16 are equal, so they form a proportion.