Solve 0.017*2/6.8

$$0.017 \times \frac{ 2 }{ 6.8 }$$

Evaluate

$$0.005$$

Solution Steps

Expand \frac{2}{6.8} by multiplying both numerator and the denominator by 10.

$$0.017\times \frac{20}{68}$$

Reduce the fraction \frac{20}{68} to lowest terms by extracting and canceling out 4.

$$0.017\times \frac{5}{17}$$

Convert decimal number 0.017 to fraction \frac{17}{1000}.

$$\frac{17}{1000}\times \frac{5}{17}$$

Multiply \frac{17}{1000} times \frac{5}{17} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17\times 5}{1000\times 17}$$

Cancel out 17 in both numerator and denominator.

$$\frac{5}{1000}$$

Reduce the fraction \frac{5}{1000} to lowest terms by extracting and canceling out 5.

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

Factor

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