Solve m+2/4-m-6/3-1/2

$$\frac{ m+2 }{ 4 } - \frac{ m-6 }{ 3 } - \frac{ 1 }{ 2 }$$

Evaluate

$$-\frac{m}{12}+2$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4 and 3 is 12. Multiply \frac{m+2}{4} times \frac{3}{3}. Multiply \frac{m-6}{3} times \frac{4}{4}.

$$\frac{3\left(m+2\right)}{12}-\frac{4\left(m-6\right)}{12}-\frac{1}{2}$$

Since \frac{3\left(m+2\right)}{12} and \frac{4\left(m-6\right)}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3\left(m+2\right)-4\left(m-6\right)}{12}-\frac{1}{2}$$

Do the multiplications in 3\left(m+2\right)-4\left(m-6\right).

$$\frac{3m+6-4m+24}{12}-\frac{1}{2}$$

Combine like terms in 3m+6-4m+24.

$$\frac{-m+30}{12}-\frac{1}{2}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 12 and 2 is 12. Multiply \frac{1}{2} times \frac{6}{6}.

$$\frac{-m+30}{12}-\frac{6}{12}$$

Since \frac{-m+30}{12} and \frac{6}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-m+30-6}{12}$$

Combine like terms in -m+30-6.

$$\frac{-m+24}{12}$$

Expand

$$-\frac{m}{12}+2$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4 and 3 is 12. Multiply \frac{m+2}{4} times \frac{3}{3}. Multiply \frac{m-6}{3} times \frac{4}{4}.

$$\frac{3\left(m+2\right)}{12}-\frac{4\left(m-6\right)}{12}-\frac{1}{2}$$

Since \frac{3\left(m+2\right)}{12} and \frac{4\left(m-6\right)}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3\left(m+2\right)-4\left(m-6\right)}{12}-\frac{1}{2}$$

Do the multiplications in 3\left(m+2\right)-4\left(m-6\right).

$$\frac{3m+6-4m+24}{12}-\frac{1}{2}$$

Combine like terms in 3m+6-4m+24.

$$\frac{-m+30}{12}-\frac{1}{2}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 12 and 2 is 12. Multiply \frac{1}{2} times \frac{6}{6}.

$$\frac{-m+30}{12}-\frac{6}{12}$$

Since \frac{-m+30}{12} and \frac{6}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-m+30-6}{12}$$

Combine like terms in -m+30-6.

$$\frac{-m+24}{12}$$