Find 3 rational numbers between $\frac{3}{5}$ and $\frac{1}{3}$.

The correct answer is $\frac{6}{15}$, $\frac{7}{15}$, $\frac{8}{15}$

To find the rational numbers between given two rational numbers, let us first make their denominators equal.
To do this, let us take LCM of the two denominators i.e. 3 and 5. The LCM is 15.
∴ $\frac{3}{5}$ = $\frac{3 * 3}{5 * 3}$ = $\frac{9}{15}$
And $\frac{1}{3}$ = $\frac{1 * 5}{3 * 5}$ = $\frac{5}{15}$
Now we can see that $\frac{5}{15}$ < $\frac{9}{15}$
By increasing the numerator from 5 to 9 by 1, we get 3 more fractions $\frac{5}{15}$ < $\frac{6}{15}$ $\frac{7}{15}$ $\frac{8}{15}$ < $\frac{9}{15}$