Выбери наибольшую сумму: 3 1/4 + 5 1/5; 2 1/10 + 6 1/6; 1 1/4 + 7 1/6; 4 1/5 + 4 1/6.

Вычислим суммы:

1. \(3\frac{1}{4}+5\frac{1}{5}=8+\frac{1}{4}+\frac{1}{5}=8\frac{9}{20}\).
2. \(2\frac{1}{10}+6\frac{1}{6}=8+\frac{1}{10}+\frac{1}{6}=8\frac{4}{15}\).
3. \(1\frac{1}{4}+7\frac{1}{6}=8+\frac{1}{4}+\frac{1}{6}=8\frac{5}{12}\).
4. \(4\frac{1}{5}+4\frac{1}{6}=8+\frac{1}{5}+\frac{1}{6}=8\frac{11}{30}\).

Сравним дробные части: \(\frac{9}{20}=\frac{27}{60}\), \(\frac{4}{15}=\frac{16}{60}\), \(\frac{5}{12}=\frac{25}{60}\), \(\frac{11}{30}=\frac{22}{60}\). Наибольшая дробная часть — \(\frac{9}{20}\).

Ответ: \(3\frac{1}{4}+5\frac{1}{5}=8\frac{9}{20}\).