Question

Which fraction is greater?
$\left(i\right)\frac{3}{5}\text{or}\frac{2}{3}$

Answer 1

Comparing the given fractions:

Given, fractions are $\frac{3}{5}\text{or}\frac{2}{3}$.
First converting each fraction into like fractions.
$\therefore \frac{3}{5}=\frac{3}{5}\times \frac{3}{3}=\frac{9}{15}$ ...(i)
And $\frac{2}{3}=\frac{2}{3}\times \frac{5}{5}=\frac{10}{15}$ ...(ii)

Now we know that, if two fractions have the same denominator, the greater fraction has greater numerator.
$\therefore \frac{10}{15}>\frac{9}{15}$
Hence, $\frac{2}{3}$ will be greater fraction.