Solve 1+m-9/6-2(3m-1)/3

$$1 + \frac { m - 9 } { 6 } - \frac { 2 ( 3 m - 1 ) } { 3 }$$

Evaluate

$$\frac{1-11m}{6}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{6}{6}.

$$\frac{6}{6}+\frac{m-9}{6}-\frac{2\left(3m-1\right)}{3}$$

Since \frac{6}{6} and \frac{m-9}{6} have the same denominator, add them by adding their numerators.

$$\frac{6+m-9}{6}-\frac{2\left(3m-1\right)}{3}$$

Combine like terms in 6+m-9.

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

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 6 and 3 is 6. Multiply \frac{2\left(3m-1\right)}{3} times \frac{2}{2}.

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

Since \frac{-3+m}{6} and \frac{2\times 2\left(3m-1\right)}{6} have the same denominator, subtract them by subtracting their numerators.

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

Do the multiplications in -3+m-2\times 2\left(3m-1\right).

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

Combine like terms in -3+m-12m+4.

$$\frac{1-11m}{6}$$

Expand

$$\frac{1-11m}{6}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{6}{6}.

$$\frac{6}{6}+\frac{m-9}{6}-\frac{2\left(3m-1\right)}{3}$$

Since \frac{6}{6} and \frac{m-9}{6} have the same denominator, add them by adding their numerators.

$$\frac{6+m-9}{6}-\frac{2\left(3m-1\right)}{3}$$

Combine like terms in 6+m-9.

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

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 6 and 3 is 6. Multiply \frac{2\left(3m-1\right)}{3} times \frac{2}{2}.

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

Since \frac{-3+m}{6} and \frac{2\times 2\left(3m-1\right)}{6} have the same denominator, subtract them by subtracting their numerators.

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

Do the multiplications in -3+m-2\times 2\left(3m-1\right).

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

Combine like terms in -3+m-12m+4.

$$\frac{1-11m}{6}$$