Solve 1/10*1/10*5/10

$$\frac { 1 } { 10 } \cdot \frac { 1 } { 10 } \cdot \frac { 5 } { 10 }$$

Evaluate

$$\frac{1}{200}=0.005$$

Solution Steps

Multiply \frac{1}{10} times \frac{1}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{10\times 10}\times \frac{5}{10}$$

Do the multiplications in the fraction \frac{1\times 1}{10\times 10}.

$$\frac{1}{100}\times \frac{5}{10}$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{100}\times \frac{1}{2}$$

Multiply \frac{1}{100} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{100\times 2}$$

Do the multiplications in the fraction \frac{1\times 1}{100\times 2}.

$$\frac{1}{200}$$

Factor

$$\frac{1}{2 ^ {3} \cdot 5 ^ {2}} = 0.005$$