9) 4 + 13 - 5 + 7

1. Convert mixed numbers to improper fractions: $$4\frac{4}{12} = \frac{52}{12} = \frac{13}{3}$$, $$13\frac{5}{5} = 14$$, $$5\frac{5}{6} = \frac{35}{6}$$, $$7\frac{9}{11} = \frac{86}{11}$$.
2. Find a common denominator (66): $$\frac{13}{3} = \frac{286}{66}$$, $$14 = \frac{924}{66}$$, $$\frac{35}{6} = \frac{385}{66}$$, $$\frac{86}{11} = \frac{516}{66}$$.
3. Perform operations: $$\frac{286}{66} + \frac{924}{66} - \frac{385}{66} + \frac{516}{66} = \frac{1210}{66} - \frac{385}{66} + \frac{516}{66} = \frac{825}{66} + \frac{516}{66} = \frac{1341}{66} = 20\frac{21}{66} = 20\frac{7}{22}$$.