Question

6 Compare the following ratios. Find the smaller ratio .
a) 7:6 and 24: 9
b) 4:7 and 5:8

Answer 1

Answer:

a)7:6=7/6 and 24:9=24/9=8/3

By cross multiplication, 7/6 and 8/3

We get, 21 and 48

clearly, 21 is smaller than 48 .

Therefore, 7/6 is smaller than 8/3.

or, 7:6 is smaller than 24:9

Answer 2

Answer:

Compare the following ratios. Find the smaller ratio .

a) 7:6 and 24: 9

SOLUTION:-

= 7 and 24

6 9

= [L.C.M. of the denominators i.e. 6 and 9 is 18.]

=> 7 ×3 = 21

6 ×3 18

=> 24 ×2 = 48

9 ×2 18

= Since, 21 is smaller than 48.

18 18

= So, 21 = 7 = 7 : 6 and 48 = 24 = 24 : 9

18 6 18 9

Ans. 7:6

b) 4:7 and 5:8

SOLUTION:-

4 and 5

7 8

= [L.C.M. of the denominators i.e. 7 and 8 is 56].

=> 4 ×8 = 32

7×8 56

=> 5 ×7 = 35

8 ×7 56

= Since, 32 is smaller than 35

56 56

=> So, 32 = 4 = 4 : 7 and 35 = 5 = 5 : 8

56 7 56 8

Ans. 4 : 7

Step-by-step explanation:

To find the ratio which is smaller we need to take the L.C.M.