Question

Which ratio is larger 10 : 21 or 21 : 93?

Answer 1

We have, `10 : 21 = 10/21` and `21 : 93 = 21/93`

3	21, 93
7	7, 31
31	1, 31
	1, 1

Now, the LCM of 21 and 93 is 3 × 7 × 31 = 651

Making the denominator of each ratio equal to 651, we have

`10/21 = (10 xx 31)/(21 xx 31) = 310/651`

And `21/93 = (21 xx 7)/(93 xx 7) = 147/651`

∵ `310/651 > 147/651`

∴ `10/21 > 21/93`.

Thus, the ratio 10 : 21 is larger.