Solve 112-(56/-24*8)

$$112 - ( \frac { 56 } { - 24 } \times 8 )$$

Evaluate

$$\frac{392}{3}\approx 130.666666667$$

Solution Steps

Reduce the fraction \frac{56}{-24} to lowest terms by extracting and canceling out 8.

$$112-\left(-\frac{7}{3}\times 8\right)$$

Express -\frac{7}{3}\times 8 as a single fraction.

$$112-\frac{-7\times 8}{3}$$

Multiply -7 and 8 to get -56.

$$112-\frac{-56}{3}$$

Fraction \frac{-56}{3} can be rewritten as -\frac{56}{3} by extracting the negative sign.

$$112-\left(-\frac{56}{3}\right)$$

The opposite of -\frac{56}{3} is \frac{56}{3}.

$$112+\frac{56}{3}$$

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

$$\frac{336}{3}+\frac{56}{3}$$

Since \frac{336}{3} and \frac{56}{3} have the same denominator, add them by adding their numerators.

$$\frac{336+56}{3}$$

Add 336 and 56 to get 392.

$$\frac{392}{3}$$

Factor

$$\frac{2 ^ {3} \cdot 7 ^ {2}}{3} = 130\frac{2}{3} = 130.66666666666666$$