Solve 8/3*1/16*4/5div8/5

$$\frac { 8 } { 3 } \times \frac { 1 } { 16 } \times \frac { 4 } { 5 } \div \frac { 8 } { 5 }$$

Evaluate

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

Solution Steps

Multiply \frac{8}{3} times \frac{1}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{8\times 1}{3\times 16}\times \frac{4}{5}}{\frac{8}{5}}$$

Do the multiplications in the fraction \frac{8\times 1}{3\times 16}.

$$\frac{\frac{8}{48}\times \frac{4}{5}}{\frac{8}{5}}$$

Reduce the fraction \frac{8}{48} to lowest terms by extracting and canceling out 8.

$$\frac{\frac{1}{6}\times \frac{4}{5}}{\frac{8}{5}}$$

Multiply \frac{1}{6} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\times 4}{6\times 5}}{\frac{8}{5}}$$

Do the multiplications in the fraction \frac{1\times 4}{6\times 5}.

$$\frac{\frac{4}{30}}{\frac{8}{5}}$$

Reduce the fraction \frac{4}{30} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{2}{15}}{\frac{8}{5}}$$

Divide \frac{2}{15} by \frac{8}{5} by multiplying \frac{2}{15} by the reciprocal of \frac{8}{5}.

$$\frac{2}{15}\times \frac{5}{8}$$

Multiply \frac{2}{15} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 5}{15\times 8}$$

Do the multiplications in the fraction \frac{2\times 5}{15\times 8}.

$$\frac{10}{120}$$

Reduce the fraction \frac{10}{120} to lowest terms by extracting and canceling out 10.

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

Factor

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