Solve 16(1-1/8)/1+frac{1{2}}

$$\frac { 16 ( 1 - \frac { 1 } { 8 } ) } { 1 + \frac { 1 } { 2 } }$$

Evaluate

$$\frac{28}{3}\approx 9.333333333$$

Solution Steps

Convert 1 to fraction \frac{8}{8}.

$$\frac{16\left(\frac{8}{8}-\frac{1}{8}\right)}{1+\frac{1}{2}}$$

Since \frac{8}{8} and \frac{1}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16\times \frac{8-1}{8}}{1+\frac{1}{2}}$$

Subtract 1 from 8 to get 7.

$$\frac{16\times \frac{7}{8}}{1+\frac{1}{2}}$$

Express 16\times \frac{7}{8} as a single fraction.

$$\frac{\frac{16\times 7}{8}}{1+\frac{1}{2}}$$

Multiply 16 and 7 to get 112.

$$\frac{\frac{112}{8}}{1+\frac{1}{2}}$$

Divide 112 by 8 to get 14.

$$\frac{14}{1+\frac{1}{2}}$$

Convert 1 to fraction \frac{2}{2}.

$$\frac{14}{\frac{2}{2}+\frac{1}{2}}$$

Since \frac{2}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{14}{\frac{2+1}{2}}$$

Add 2 and 1 to get 3.

$$\frac{14}{\frac{3}{2}}$$

Divide 14 by \frac{3}{2} by multiplying 14 by the reciprocal of \frac{3}{2}.

$$14\times \frac{2}{3}$$

Express 14\times \frac{2}{3} as a single fraction.

$$\frac{14\times 2}{3}$$

Multiply 14 and 2 to get 28.

$$\frac{28}{3}$$

Factor

$$\frac{2 ^ {2} \cdot 7}{3} = 9\frac{1}{3} = 9.333333333333334$$