Solve 0.032/200*0.2

$$\frac{ 0.032 }{ 200 } \times 0.2$$

Evaluate

$$0.000032$$

Solution Steps

Expand \frac{0.032}{200} by multiplying both numerator and the denominator by 1000.

$$\frac{32}{200000}\times 0.2$$

Reduce the fraction \frac{32}{200000} to lowest terms by extracting and canceling out 32.

$$\frac{1}{6250}\times 0.2$$

Convert decimal number 0.2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{6250}\times \frac{1}{5}$$

Multiply \frac{1}{6250} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{6250\times 5}$$

Do the multiplications in the fraction \frac{1\times 1}{6250\times 5}.

$$\frac{1}{31250}$$

Factor

$$\frac{1}{2 \cdot 5 ^ {6}} = 3.1999999999999997 \times 10^{-5}$$