Evaluate: /(5) 6+(-/(4) 9)-(-2)

Expression: $$\frac { 5 } { 6 } + ( - \frac { 4 } { 9 } ) - ( - 2 )$$

Least common multiple of $6$ and $9$ is $18$. Convert $\frac{5}{6}$ and $\frac{4}{9}$ to fractions with denominator $18$.

$$\frac{15}{18}-\frac{8}{18}-\left(-2\right)$$

Since $\frac{15}{18}$ and $\frac{8}{18}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-8}{18}-\left(-2\right)$$

Subtract $8$ from $15$ to get $7$.

$$\frac{7}{18}-\left(-2\right)$$

The opposite of $-2$ is $2$.

$$\frac{7}{18}+2$$

Convert $2$ to fraction $\frac{36}{18}$.

$$\frac{7}{18}+\frac{36}{18}$$

Since $\frac{7}{18}$ and $\frac{36}{18}$ have the same denominator, add them by adding their numerators.

$$\frac{7+36}{18}$$

Add $7$ and $36$ to get $43$.

$$\frac{43}{18}$$