Solve (-6):(-12)-(-3)+(-2):(-4)-5

$$( - 6 ) : ( - 12 ) - ( - 3 ) + ( - 2 ) : ( - 4 ) - 5$$

Evaluate

$$-1$$

Solution Steps

Reduce the fraction \frac{-6}{-12} to lowest terms by extracting and canceling out -6.

$$\frac{1}{2}-\left(-3\right)+\frac{-2}{-4}-5$$

The opposite of -3 is 3.

$$\frac{1}{2}+3+\frac{-2}{-4}-5$$

Convert 3 to fraction \frac{6}{2}.

$$\frac{1}{2}+\frac{6}{2}+\frac{-2}{-4}-5$$

Since \frac{1}{2} and \frac{6}{2} have the same denominator, add them by adding their numerators.

$$\frac{1+6}{2}+\frac{-2}{-4}-5$$

Add 1 and 6 to get 7.

$$\frac{7}{2}+\frac{-2}{-4}-5$$

Reduce the fraction \frac{-2}{-4} to lowest terms by extracting and canceling out -2.

$$\frac{7}{2}+\frac{1}{2}-5$$

Since \frac{7}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{7+1}{2}-5$$

Add 7 and 1 to get 8.

$$\frac{8}{2}-5$$

Divide 8 by 2 to get 4.

$$4-5$$

Subtract 5 from 4 to get -1.

$$-1$$

Factor

$$-1$$