Solve (-12+36):(+(8+5):(-3)]

$$( - 12 + 36 ) : ( + ( 8 + 5 ) : ( - 3 ) ]$$

Evaluate

$$-\frac{72}{13}\approx -5.538461538$$

Solution Steps

Add -12 and 36 to get 24.

$$\frac{24}{\frac{8+5}{-3}}$$

Add 8 and 5 to get 13.

$$\frac{24}{\frac{13}{-3}}$$

Fraction \frac{13}{-3} can be rewritten as -\frac{13}{3} by extracting the negative sign.

$$\frac{24}{-\frac{13}{3}}$$

Divide 24 by -\frac{13}{3} by multiplying 24 by the reciprocal of -\frac{13}{3}.

$$24\left(-\frac{3}{13}\right)$$

Express 24\left(-\frac{3}{13}\right) as a single fraction.

$$\frac{24\left(-3\right)}{13}$$

Multiply 24 and -3 to get -72.

$$\frac{-72}{13}$$

Fraction \frac{-72}{13} can be rewritten as -\frac{72}{13} by extracting the negative sign.

$$-\frac{72}{13}$$

Factor

$$-\frac{72}{13} = -5\frac{7}{13} = -5.538461538461538$$