Solve 2/frac{1{2}+1/8}

$$\frac{ 2 }{ \frac{ 1 }{ 2 } + \frac{ 1 }{ 8 } }$$

Evaluate

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

Solution Steps

Least common multiple of 2 and 8 is 8. Convert \frac{1}{2} and \frac{1}{8} to fractions with denominator 8.

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

Since \frac{4}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.

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

Add 4 and 1 to get 5.

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

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

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