1) 1 1/6 + 4 9/16

\(1\frac{1}{6}=\frac{7}{6}\), \(4\frac{9}{16}=\frac{73}{16}\).

\(\frac{7}{6}+\frac{73}{16}=\frac{56}{48}+\frac{219}{48}=\frac{275}{48}=5\frac{35}{48}\).

Ответ: \(5\frac{35}{48}\).