Divide $122.5$ by $\frac{5}{6}$ by multiplying $122.5$ by the reciprocal of $\frac{5}{6}$.
$$122.5\times \frac{6}{5}$$
Convert decimal number $122.5$ to fraction $\frac{1225}{10}$. Reduce the fraction $\frac{1225}{10}$ to lowest terms by extracting and canceling out $5$.
$$\frac{245}{2}\times \frac{6}{5}$$
Multiply $\frac{245}{2}$ times $\frac{6}{5}$ by multiplying numerator times numerator and denominator times denominator.
$$\frac{245\times 6}{2\times 5}$$
Do the multiplications in the fraction $\frac{245\times 6}{2\times 5}$.
