Solve -63/4+-13/12?

$$- 6 \frac { 3 } { 4 } + - 1 \frac { 3 } { 12 } ?$$

Evaluate

$$-8$$

Solution Steps

Multiply 6 and 4 to get 24.

$$-\frac{24+3}{4}-\frac{1\times 12+3}{12}$$

Add 24 and 3 to get 27.

$$-\frac{27}{4}-\frac{1\times 12+3}{12}$$

Multiply 1 and 12 to get 12.

$$-\frac{27}{4}-\frac{12+3}{12}$$

Add 12 and 3 to get 15.

$$-\frac{27}{4}-\frac{15}{12}$$

Reduce the fraction \frac{15}{12} to lowest terms by extracting and canceling out 3.

$$-\frac{27}{4}-\frac{5}{4}$$

Since -\frac{27}{4} and \frac{5}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-27-5}{4}$$

Subtract 5 from -27 to get -32.

$$\frac{-32}{4}$$

Divide -32 by 4 to get -8.

$$-8$$

Factor

$$-8$$