Question

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

Answer 1

Answer:

2/3 is greater

Step-by-step 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.

$\frac{2}{3} = \frac{2 \times 5}{3 \times 5} = \frac{10}{15} \\ \\ \frac{2}{5} = \frac{2 \times 3}{5 \times 3} = \frac{6}{15} \\ \\ \because \: \frac{10}{15} > \frac{6}{15} \\ \\ \purple{ \boxed{ \bold{ \therefore \: \frac{2}{3} > \frac{2}{5} }}}$