Solve [6+(-38)]div4(-2)/(-2+4)(5-6)

$$\frac { [ 6 + ( - 38 ) ] \div 4 ( - 2 ) } { ( - 2 + 4 ) ( 5 - 6 ) }$$

Evaluate

$$-8$$

Solution Steps

Subtract 38 from 6 to get -32.

$$\frac{\frac{-32}{4}\left(-2\right)}{\left(-2+4\right)\left(5-6\right)}$$

Divide -32 by 4 to get -8.

$$\frac{-8\left(-2\right)}{\left(-2+4\right)\left(5-6\right)}$$

Multiply -8 and -2 to get 16.

$$\frac{16}{\left(-2+4\right)\left(5-6\right)}$$

Add -2 and 4 to get 2.

$$\frac{16}{2\left(5-6\right)}$$

Subtract 6 from 5 to get -1.

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

Multiply 2 and -1 to get -2.

$$\frac{16}{-2}$$

Divide 16 by -2 to get -8.

$$-8$$

Factor

$$-8$$