Solve =0.05/0.2*0.001

$$= \frac { 0.05 } { 0.2 } \times 0.001$$

Evaluate

$$0.00025$$

Solution Steps

Expand \frac{0.05}{0.2} by multiplying both numerator and the denominator by 100.

$$\frac{5}{20}\times 0.001$$

Reduce the fraction \frac{5}{20} to lowest terms by extracting and canceling out 5.

$$\frac{1}{4}\times 0.001$$

Convert decimal number 0.001 to fraction \frac{1}{1000}.

$$\frac{1}{4}\times \frac{1}{1000}$$

Multiply \frac{1}{4} times \frac{1}{1000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{4\times 1000}$$

Do the multiplications in the fraction \frac{1\times 1}{4\times 1000}.

$$\frac{1}{4000}$$

Factor

$$\frac{1}{2 ^ {5} \cdot 5 ^ {3}} = 0.00025$$