Calculate: /(3) 4+/(1) 6-/(2) 3

Expression: $$\frac { 3 } { 4 } + \frac { 1 } { 6 } - \frac { 2 } { 3 }$$

Least common multiple of $4$ and $6$ is $12$. Convert $\frac{3}{4}$ and $\frac{1}{6}$ to fractions with denominator $12$.

$$\frac{9}{12}+\frac{2}{12}-\frac{2}{3}$$

Since $\frac{9}{12}$ and $\frac{2}{12}$ have the same denominator, add them by adding their numerators.

$$\frac{9+2}{12}-\frac{2}{3}$$

Add $9$ and $2$ to get $11$.

$$\frac{11}{12}-\frac{2}{3}$$

Least common multiple of $12$ and $3$ is $12$. Convert $\frac{11}{12}$ and $\frac{2}{3}$ to fractions with denominator $12$.

$$\frac{11}{12}-\frac{8}{12}$$

Since $\frac{11}{12}$ and $\frac{8}{12}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-8}{12}$$

Subtract $8$ from $11$ to get $3$.

$$\frac{3}{12}$$

Reduce the fraction $\frac{3}{12}$ to lowest terms by extracting and canceling out $3$.

$$\frac{1}{4}$$