Solve 1/2div1/8div5/4=

$$\frac { 1 } { 2 } \div \frac { 1 } { 8 } \div \frac { 5 } { 4 } =$$

Evaluate

$$\frac{16}{5}=3.2$$

Solution Steps

Divide \frac{\frac{1}{2}}{\frac{1}{8}} by \frac{5}{4} by multiplying \frac{\frac{1}{2}}{\frac{1}{8}} by the reciprocal of \frac{5}{4}.

$$\frac{\frac{1}{2}\times 4}{\frac{1}{8}\times 5}$$

Multiply \frac{1}{2} and 4 to get \frac{4}{2}.

$$\frac{\frac{4}{2}}{\frac{1}{8}\times 5}$$

Divide 4 by 2 to get 2.

$$\frac{2}{\frac{1}{8}\times 5}$$

Multiply \frac{1}{8} and 5 to get \frac{5}{8}.

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

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

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

Express 2\times \frac{8}{5} as a single fraction.

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

Multiply 2 and 8 to get 16.

$$\frac{16}{5}$$

Factor

$$\frac{2 ^ {4}}{5} = 3\frac{1}{5} = 3.2$$