Solve -d-3/6-2d+5/3

$$\frac { - d - 3 } { 6 } - \frac { 2 d + 5 } { 3 }$$

Evaluate

$$\frac{-5d-13}{6}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 6 and 3 is 6. Multiply \frac{2d+5}{3} times \frac{2}{2}.

$$\frac{-d-3}{6}-\frac{2\left(2d+5\right)}{6}$$

Since \frac{-d-3}{6} and \frac{2\left(2d+5\right)}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-d-3-2\left(2d+5\right)}{6}$$

Do the multiplications in -d-3-2\left(2d+5\right).

$$\frac{-d-3-4d-10}{6}$$

Combine like terms in -d-3-4d-10.

$$\frac{-5d-13}{6}$$

Expand

$$\frac{-5d-13}{6}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 6 and 3 is 6. Multiply \frac{2d+5}{3} times \frac{2}{2}.

$$\frac{-d-3}{6}-\frac{2\left(2d+5\right)}{6}$$

Since \frac{-d-3}{6} and \frac{2\left(2d+5\right)}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-d-3-2\left(2d+5\right)}{6}$$

Do the multiplications in -d-3-2\left(2d+5\right).

$$\frac{-d-3-4d-10}{6}$$

Combine like terms in -d-3-4d-10.

$$\frac{-5d-13}{6}$$