Solve -8(2+4)-8/2|-18-5(4)|

$$\frac { - 8 ( 2 + 4 ) - 8 } { 2 | - 18 - 5 ( 4 ) | }$$

Evaluate

$$-\frac{14}{19}\approx -0.736842105$$

Solution Steps

Add 2 and 4 to get 6.

$$\frac{-8\times 6-8}{2|-18-5\times 4|}$$

Multiply -8 and 6 to get -48.

$$\frac{-48-8}{2|-18-5\times 4|}$$

Subtract 8 from -48 to get -56.

$$\frac{-56}{2|-18-5\times 4|}$$

Multiply 5 and 4 to get 20.

$$\frac{-56}{2|-18-20|}$$

Subtract 20 from -18 to get -38.

$$\frac{-56}{2|-38|}$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -38 is 38.

$$\frac{-56}{2\times 38}$$

Multiply 2 and 38 to get 76.

$$\frac{-56}{76}$$

Reduce the fraction \frac{-56}{76} to lowest terms by extracting and canceling out 4.

$$-\frac{14}{19}$$

Factor

$$-\frac{14}{19} = -0.7368421052631579$$