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
= [tex]\frac{2}{5} * 15[/tex]
=6
and also:
= [tex]\frac{1}{3} * 15[/tex]
=5
So in conclusion the numbers 6 and 5 will determine the sign to be used and since 6 is for [tex]\frac{2}{5}[/tex] and 5 is for [tex]\frac{1}{3}[/tex] and numerically 6 is greater than 5 therefore:
[tex]\frac{2}{5} > \frac{1}{3}[/tex]
