Divide $7.35$ by $\frac{7}{188}$ by multiplying $7.35$ by the reciprocal of $\frac{7}{188}$.
$$7.35\times \frac{188}{7}$$
Convert decimal number $7.35$ to fraction $\frac{735}{100}$. Reduce the fraction $\frac{735}{100}$ to lowest terms by extracting and canceling out $5$.
$$\frac{147}{20}\times \frac{188}{7}$$
Multiply $\frac{147}{20}$ times $\frac{188}{7}$ by multiplying numerator times numerator and denominator times denominator.
$$\frac{147\times 188}{20\times 7}$$
Do the multiplications in the fraction $\frac{147\times 188}{20\times 7}$.
$$\frac{27636}{140}$$
Reduce the fraction $\frac{27636}{140}$ to lowest terms by extracting and canceling out $28$.