Solve x/3+3x/2

$$\frac { x } { 3 } + \frac { 3 x } { 2 }$$

Evaluate

$$\frac{11x}{6}$$

Short Solution Steps

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

$$\frac{2x}{6}+\frac{3\times 3x}{6}$$

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

$$\frac{2x+3\times 3x}{6}$$

Do the multiplications in 2x+3\times 3x.

$$\frac{2x+9x}{6}$$

Combine like terms in 2x+9x.

$$\frac{11x}{6}$$

Differentiate w.r.t. x

$$\frac{11}{6} = 1\frac{5}{6} = 1.8333333333333333$$