Solve -12-[2-6(4+20)+5]-13+42/3

$$- 12 - [ 2 - 6 ( 4 + 20 ) + 5 ] - 13 + 4 \frac { 2 } { 3 }$$

Evaluate

$$\frac{350}{3}\approx 116.666666667$$

Solution Steps

Add 4 and 20 to get 24.

$$-12-\left(2-6\times 24+5\right)-13+\frac{4\times 3+2}{3}$$

Multiply 6 and 24 to get 144.

$$-12-\left(2-144+5\right)-13+\frac{4\times 3+2}{3}$$

Subtract 144 from 2 to get -142.

$$-12-\left(-142+5\right)-13+\frac{4\times 3+2}{3}$$

Add -142 and 5 to get -137.

$$-12-\left(-137\right)-13+\frac{4\times 3+2}{3}$$

The opposite of -137 is 137.

$$-12+137-13+\frac{4\times 3+2}{3}$$

Add -12 and 137 to get 125.

$$125-13+\frac{4\times 3+2}{3}$$

Subtract 13 from 125 to get 112.

$$112+\frac{4\times 3+2}{3}$$

Multiply 4 and 3 to get 12.

$$112+\frac{12+2}{3}$$

Add 12 and 2 to get 14.

$$112+\frac{14}{3}$$

Convert 112 to fraction \frac{336}{3}.

$$\frac{336}{3}+\frac{14}{3}$$

Since \frac{336}{3} and \frac{14}{3} have the same denominator, add them by adding their numerators.

$$\frac{336+14}{3}$$

Add 336 and 14 to get 350.

$$\frac{350}{3}$$

Factor

$$\frac{2 \cdot 5 ^ {2} \cdot 7}{3} = 116\frac{2}{3} = 116.66666666666667$$