Find the equivalent fraction of $\frac{5}{7}$ having:

numerator $50$.

An equivalent fraction of a given fraction is obtained by multiplying the numerator and denominator of the fraction by the same number (other than zero).

Here the given fraction is $\frac{5}{7}$. To obtain an equivalent fraction of $\frac{5}{7}$ such that its numerator is $50$ we need to multiply the numerator of the given fraction i.e. $5$ by a number such that the numerator obtained is $50$. Clearly, $5\times 10=50$. Therefore, $\frac{5}{7}$ can be multiplied with $10$ to obtain an equivalent fraction with numerator $50$.

Now,

$\frac{5}{7}$$=\frac{5\times 10}{7\times 10}$ [multiplying numerator and denominator by $9$]

$=$$\frac{50}{70}$

Therefore, $\frac{50}{70}$ is a fraction that is equivalent to $\frac{5}{7}$ such that its numerator is $50$.