Solve frac{24-16/frac{24+16{2}}}{4-8}

$$\frac { \frac { 24 - 16 } { \frac { 24 + 16 } { 2 } } } { 4 - 8 }$$

Evaluate

$$-\frac{1}{10}=-0.1$$

Solution Steps

Subtract 16 from 24 to get 8.

$$\frac{\frac{8}{\frac{24+16}{2}}}{4-8}$$

Add 24 and 16 to get 40.

$$\frac{\frac{8}{\frac{40}{2}}}{4-8}$$

Divide 40 by 2 to get 20.

$$\frac{\frac{8}{20}}{4-8}$$

Reduce the fraction \frac{8}{20} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{2}{5}}{4-8}$$

Subtract 8 from 4 to get -4.

$$\frac{\frac{2}{5}}{-4}$$

Express \frac{\frac{2}{5}}{-4} as a single fraction.

$$\frac{2}{5\left(-4\right)}$$

Multiply 5 and -4 to get -20.

$$\frac{2}{-20}$$

Reduce the fraction \frac{2}{-20} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{10}$$

Factor

$$-\frac{1}{10} = -0.1$$