Solve 12:4+5/8-(2+2*3)^2=

$$\frac { 12 : 4 + 5 } { 8 - ( 2 + 2 \cdot 3 ) ^ { 2 } } =$$

Evaluate

$$-\frac{1}{7}\approx -0.142857143$$

Solution Steps

Divide 12 by 4 to get 3.

$$\frac{3+5}{8-\left(2+2\times 3\right)^{2}}$$

Add 3 and 5 to get 8.

$$\frac{8}{8-\left(2+2\times 3\right)^{2}}$$

Multiply 2 and 3 to get 6.

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

Add 2 and 6 to get 8.

$$\frac{8}{8-8^{2}}$$

Calculate 8 to the power of 2 and get 64.

$$\frac{8}{8-64}$$

Subtract 64 from 8 to get -56.

$$\frac{8}{-56}$$

Reduce the fraction \frac{8}{-56} to lowest terms by extracting and canceling out 8.

$$-\frac{1}{7}$$

Factor

$$-\frac{1}{7} = -0.14285714285714285$$