Вопрос:

2. Выполните сложение: 3/13 + 5/13 2 5/9 + 9 6 2/17 + 3 11/17 8 + 7 5/6 4 5/11 + 1 6/11 9 11/15 + 5 8/15

Ответ:

Решение:

1) \( \frac{3}{13} + \frac{5}{13} \) = \( \frac{3+5}{13} \) = \( \frac{8}{13} \)

2) \(2\frac{5}{9} + 9\) = \(2 + \frac{5}{9} + 9\) = \(11\frac{5}{9}\)

3) \(6\frac{2}{17} + 3\frac{11}{17}\) = \(6+3 + \frac{2}{17} + \frac{11}{17}\) = \(9 + \frac{2+11}{17}\) = \(9 + \frac{13}{17}\) = \(9\frac{13}{17}\)

4) \(8 + 7\frac{5}{6}\) = \(8+7+\frac{5}{6}\) = \(15\frac{5}{6}\)

5) \(4\frac{5}{11} + 1\frac{6}{11}\) = \(4+1 + \frac{5}{11} + \frac{6}{11}\) = \(5 + \frac{5+6}{11}\) = \(5 + \frac{11}{11}\) = 5 + 1 = 6

6) \(9\frac{11}{15} + 5\frac{8}{15}\) = \(9+5 + \frac{11}{15} + \frac{8}{15}\) = \(14 + \frac{11+8}{15}\) = \(14+\frac{19}{15}\) = \(14+1\frac{4}{15}\) = \(15\frac{4}{15}\)

Ответ:
1) \( \frac{8}{13} \)
2) \(11\frac{5}{9}\)
3) \(9\frac{13}{17}\)
4) \(15\frac{5}{6}\)
5) 6
6) \(15\frac{4}{15}\)
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