2+3/\frac{1}{5} \quad 23\frac{12}{13}+4 \frac{2}{13} 10\frac{3}{9}-9 \quad 35\frac{3}{64}-35\frac{2}{64}

Решим данные примеры:

1. $$2 + 3\frac{1}{5} = 2 + \frac{3 \cdot 5 + 1}{5} = 2 + \frac{16}{5} = \frac{2 \cdot 5 + 16}{5} = \frac{10 + 16}{5} = \frac{26}{5} = 5\frac{1}{5}$$
2. $$23\frac{12}{13} + 4\frac{2}{13} = (23 + 4) + (\frac{12}{13} + \frac{2}{13}) = 27 + \frac{12+2}{13} = 27 + \frac{14}{13} = 27 + 1\frac{1}{13} = 28\frac{1}{13}$$
3. $$10\frac{3}{9} - 9 = 10\frac{1}{3} - 9 = 1\frac{1}{3} = \frac{1 \cdot 3 + 1}{3} = \frac{4}{3}$$
4. $$35\frac{3}{64} - 35\frac{2}{64} = (35 - 35) + (\frac{3}{64} - \frac{2}{64}) = 0 + \frac{3-2}{64} = \frac{1}{64}$$

Ответ:

• $$2 + 3\frac{1}{5} = 5\frac{1}{5}$$
• $$23\frac{12}{13} + 4\frac{2}{13} = 28\frac{1}{13}$$
• $$10\frac{3}{9} - 9 = \frac{4}{3}$$
• $$35\frac{3}{64} - 35\frac{2}{64} = \frac{1}{64}$$