Solve (-78)div8-(-12)-7(-2)

$$(-78) \div 8-(-12)-7(-2)$$

Evaluate

$$\frac{65}{4}=16.25$$

Solution Steps

Reduce the fraction \frac{-78}{8} to lowest terms by extracting and canceling out 2.

$$-\frac{39}{4}-\left(-12\right)-7\left(-2\right)$$

The opposite of -12 is 12.

$$-\frac{39}{4}+12-7\left(-2\right)$$

Convert 12 to fraction \frac{48}{4}.

$$-\frac{39}{4}+\frac{48}{4}-7\left(-2\right)$$

Since -\frac{39}{4} and \frac{48}{4} have the same denominator, add them by adding their numerators.

$$\frac{-39+48}{4}-7\left(-2\right)$$

Add -39 and 48 to get 9.

$$\frac{9}{4}-7\left(-2\right)$$

Multiply 7 and -2 to get -14.

$$\frac{9}{4}-\left(-14\right)$$

The opposite of -14 is 14.

$$\frac{9}{4}+14$$

Convert 14 to fraction \frac{56}{4}.

$$\frac{9}{4}+\frac{56}{4}$$

Since \frac{9}{4} and \frac{56}{4} have the same denominator, add them by adding their numerators.

$$\frac{9+56}{4}$$

Add 9 and 56 to get 65.

$$\frac{65}{4}$$

Factor

$$\frac{5 \cdot 13}{2 ^ {2}} = 16\frac{1}{4} = 16.25$$