Solve 2/5div4/16div8/5

$$\frac{ 2 }{ 5 } \div \frac{ 4 }{ 16 } \div \frac{ 8 }{ 5 }$$

Evaluate

$$1$$

Solution Steps

Divide \frac{\frac{2}{5}}{\frac{4}{16}} by \frac{8}{5} by multiplying \frac{\frac{2}{5}}{\frac{4}{16}} by the reciprocal of \frac{8}{5}.

$$\frac{\frac{2}{5}\times 5}{\frac{4}{16}\times 8}$$

Cancel out 5 and 5.

$$\frac{2}{\frac{4}{16}\times 8}$$

Reduce the fraction \frac{4}{16} to lowest terms by extracting and canceling out 4.

$$\frac{2}{\frac{1}{4}\times 8}$$

Multiply \frac{1}{4} and 8 to get \frac{8}{4}.

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

Divide 8 by 4 to get 2.

$$\frac{2}{2}$$

Divide 2 by 2 to get 1.

$$1$$

Factor

$$1$$