Question

Which ratio is the greatest - 2:3 or 11:15

Answer 1

Given,

2:3 & 11:15

To find :-

Which ratio is the greatest one

Proof :-

Now, to compare two ratios (i.e., fractions), the denominators of the fractions must be equal.

Hence, to make the denominators equal, find the LCM of them.

LCM of 3 and 15 is 15

Therefore, bring the denominators to the LCM by multiplying the required number in both numerator and denominator.

${\dfrac{2}{3} = \dfrac{2\times{5}}{3\times{5}}}$

=> ${\dfrac{10}{15}}$

Now, the denominators of two ratios are same.

Comparing two ratios => 10:15 and 11:15

11 : 15 is greater than 10 :15

11: 15 is greater than 2:3