1. Выполните действия: a) \(\frac{10}{11}-\frac{4}{11}+\frac{3}{11}\); б) \(4\frac{5}{9}+3\frac{8}{9}\); в) \(6-2\frac{3}{8}\); г) \(5\frac{6}{13}\cdot 1\frac{11}{13}\).

1. Выполните действия:

a) \(\frac{10}{11}-\frac{4}{11}+\frac{3}{11}\);

1. \(\frac{10}{11}-\frac{4}{11}=\frac{10-4}{11}=\frac{6}{11}\)
2. \(\frac{6}{11}+\frac{3}{11}=\frac{6+3}{11}=\frac{9}{11}\)

Ответ: \(\frac{9}{11}\)

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б) \(4\frac{5}{9}+3\frac{8}{9}\);

1. \(4+3=7\)
2. \(\frac{5}{9}+ \frac{8}{9} = \frac{5+8}{9} = \frac{13}{9}=1\frac{4}{9}\)
3. \(7+1\frac{4}{9} = 8\frac{4}{9}\)

Ответ: \(8\frac{4}{9}\)

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в) \(6-2\frac{3}{8}\);

1. Представим 6 как дробь: \(6 = 5\frac{8}{8}\)
2. \(5\frac{8}{8}-2\frac{3}{8} = (5-2) + (\frac{8}{8} - \frac{3}{8}) = 3 + \frac{5}{8} = 3\frac{5}{8}\)

Ответ: \(3\frac{5}{8}\)

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г) \(5\frac{6}{13}\cdot 1\frac{11}{13}\);

1. \(5\frac{6}{13} = \frac{5 \cdot 13 + 6}{13} = \frac{65+6}{13} = \frac{71}{13}\)
2. \(1\frac{11}{13} = \frac{1 \cdot 13 + 11}{13} = \frac{13+11}{13} = \frac{24}{13}\)
3. \(\frac{71}{13} \cdot \frac{24}{13} = \frac{71 \cdot 24}{13 \cdot 13} = \frac{1704}{169}\)
4. \(\frac{1704}{169} = 10\frac{14}{169}\)

Ответ: \(10\frac{14}{169}\)