Question

Compare the two numbers by choosing <, >or =

Answer 1

 Answer:

In order to compare the fractions we can first obtain the LCM of the denominators of the two fractions and that is to say

= LCM of 5 and 3 which is 15

= $\frac{2}{5} * 15$

=6

and also:

= $\frac{1}{3} * 15$

=5

So in conclusion the numbers 6 and 5 will determine the sign to be used and since 6 is for $\frac{2}{5}$ and 5 is for $\frac{1}{3}$ and numerically 6 is greater than 5 therefore:

$\frac{2}{5} > \frac{1}{3}$