Solve -12*(11/2+1/4)

$$- 12 \cdot ( 1 \frac { 1 } { 2 } + \frac { 1 } { 4 } )$$

Evaluate

$$-21$$

Solution Steps

Multiply 1 and 2 to get 2.

$$-12\left(\frac{2+1}{2}+\frac{1}{4}\right)$$

Add 2 and 1 to get 3.

$$-12\left(\frac{3}{2}+\frac{1}{4}\right)$$

Least common multiple of 2 and 4 is 4. Convert \frac{3}{2} and \frac{1}{4} to fractions with denominator 4.

$$-12\left(\frac{6}{4}+\frac{1}{4}\right)$$

Since \frac{6}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$-12\times \frac{6+1}{4}$$

Add 6 and 1 to get 7.

$$-12\times \frac{7}{4}$$

Express -12\times \frac{7}{4} as a single fraction.

$$\frac{-12\times 7}{4}$$

Multiply -12 and 7 to get -84.

$$\frac{-84}{4}$$

Divide -84 by 4 to get -21.

$$-21$$

Factor

$$-21$$