Solve x/2-5x/3

$$\frac { x } { 2 } - \frac { 5 x } { 3 }$$

Evaluate

$$-\frac{7x}{6}$$

Short Solution Steps

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

$$\frac{3x}{6}-\frac{2\times 5x}{6}$$

Since \frac{3x}{6} and \frac{2\times 5x}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3x-2\times 5x}{6}$$

Do the multiplications in 3x-2\times 5x.

$$\frac{3x-10x}{6}$$

Combine like terms in 3x-10x.

$$\frac{-7x}{6}$$

Differentiate w.r.t. x

$$-\frac{7}{6} = -1\frac{1}{6} = -1.1666666666666667$$