Simplify 3/x+5/(2x)-11/(3x)

$\frac{3}{x} + \frac{5}{2 x} - \frac{11}{3 x}$

Find the common denominator.

Multiply $\frac{3}{x}$ by $\frac{6}{6}$ .

$\frac{3}{x} \cdot \frac{6}{6} + \frac{5}{2 x} - \frac{11}{3 x}$

Multiply $\frac{3}{x}$ by $\frac{6}{6}$ .

$\frac{3 \cdot 6}{x \cdot 6} + \frac{5}{2 x} - \frac{11}{3 x}$

Multiply $\frac{5}{2 x}$ by $\frac{3}{3}$ .

$\frac{3 \cdot 6}{x \cdot 6} + \frac{5}{2 x} \cdot \frac{3}{3} - \frac{11}{3 x}$

Multiply $\frac{5}{2 x}$ by $\frac{3}{3}$ .

$\frac{3 \cdot 6}{x \cdot 6} + \frac{5 \cdot 3}{2 x \cdot 3} - \frac{11}{3 x}$

Multiply $\frac{11}{3 x}$ by $\frac{2}{2}$ .

$\frac{3 \cdot 6}{x \cdot 6} + \frac{5 \cdot 3}{2 x \cdot 3} - (\frac{11}{3 x} \cdot \frac{2}{2})$

Multiply $\frac{11}{3 x}$ by $\frac{2}{2}$ .

$\frac{3 \cdot 6}{x \cdot 6} + \frac{5 \cdot 3}{2 x \cdot 3} - \frac{11 \cdot 2}{3 x \cdot 2}$

Reorder the factors of $2 x \cdot 3$ .

$\frac{3 \cdot 6}{x \cdot 6} + \frac{5 \cdot 3}{2 \cdot 3 x} - \frac{11 \cdot 2}{3 x \cdot 2}$

Multiply $2$ by $3$ .

$\frac{3 \cdot 6}{x \cdot 6} + \frac{5 \cdot 3}{6 x} - \frac{11 \cdot 2}{3 x \cdot 2}$

Reorder the factors of $3 x \cdot 2$ .

$\frac{3 \cdot 6}{x \cdot 6} + \frac{5 \cdot 3}{6 x} - \frac{11 \cdot 2}{2 \cdot 3 x}$

Multiply $2$ by $3$ .

$\frac{3 \cdot 6}{x \cdot 6} + \frac{5 \cdot 3}{6 x} - \frac{11 \cdot 2}{6 x}$

Combine the numerators over the common denominator.

$\frac{3 \cdot 6 + 5 \cdot 3 - 11 \cdot 2}{6 x}$

Simplify each term.

Multiply $3$ by $6$ .

$\frac{18 + 5 \cdot 3 - 11 \cdot 2}{6 x}$

Multiply $5$ by $3$ .

$\frac{18 + 15 - 11 \cdot 2}{6 x}$

Multiply $- 11$ by $2$ .

$\frac{18 + 15 - 22}{6 x}$

Simplify by adding and subtracting.

Add $18$ and $15$ .

$\frac{33 - 22}{6 x}$

Subtract $22$ from $33$ .

$\frac{11}{6 x}$