Solve (2/5)(10/16)(4/12)

$$( 2 / 5 ) ( 10 / 16 ) ( 4 / 12 )$$

Evaluate

$$\frac{1}{12}\approx 0.083333333$$

Solution Steps

Reduce the fraction \frac{10}{16} to lowest terms by extracting and canceling out 2.

$$\frac{2}{5}\times \frac{5}{8}\times \frac{4}{12}$$

Multiply \frac{2}{5} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 5}{5\times 8}\times \frac{4}{12}$$

Cancel out 5 in both numerator and denominator.

$$\frac{2}{8}\times \frac{4}{12}$$

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

$$\frac{1}{4}\times \frac{4}{12}$$

Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.

$$\frac{1}{4}\times \frac{1}{3}$$

Multiply \frac{1}{4} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{4\times 3}$$

Do the multiplications in the fraction \frac{1\times 1}{4\times 3}.

$$\frac{1}{12}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3} = 0.08333333333333333$$