Convert decimal number $0.1666$ to fraction $\frac{1666}{10000}$. Reduce the fraction $\frac{1666}{10000}$ to lowest terms by extracting and canceling out $2$.
$$\frac{2}{5}\times \frac{833}{5000}$$
Multiply $\frac{2}{5}$ times $\frac{833}{5000}$ by multiplying numerator times numerator and denominator times denominator.
$$\frac{2\times 833}{5\times 5000}$$
Do the multiplications in the fraction $\frac{2\times 833}{5\times 5000}$.
$$\frac{1666}{25000}$$
Reduce the fraction $\frac{1666}{25000}$ to lowest terms by extracting and canceling out $2$.