Question

Which fraction is greater? how do you know? a) 2/3 , 2/5​

Answer 1

2/3 is greater

Explanation:

Two fractions can only be compared if their denominators are equal. In the given problem they are different, so first we make them equal.

`(2)/(3) = (2 * 5)/(3 * 5) = (10)/(15) \\ \\ (2)/(5) = (2 * 3)/(5 * 3) = (6)/(15) \\ \\ \because \: (10)/(15) > (6)/(15) \\ \\ \purple{ \boxed{ \bold{ \therefore \: (2)/(3) > (2)/(5) }}}`