1. Выполните действия: a) \( \frac{14}{25} + \frac{13}{25} - \frac{9}{25} \) b) \( 6 \frac{3}{17} - 3 \frac{9}{17} + 8 \frac{14}{17} \div \frac{11}{12} \) в) \( 7 \frac{3}{16} - 2 \frac{6}{16} + 5 \frac{8}{16} \)

Решение:

1. \( \text{а)} \quad \frac{14}{25} + \frac{13}{25} - \frac{9}{25} = \frac{14 + 13 - 9}{25} = \frac{18}{25} \)
2. \( \text{б)} \quad 6 \frac{3}{17} - 3 \frac{9}{17} + 8 \frac{14}{17} \div \frac{11}{12} = \frac{105}{17} - \frac{60}{17} + \frac{150}{17} \cdot \frac{12}{11} = \frac{45}{17} + \frac{1800}{187} = \frac{45 \cdot 11}{187} + \frac{1800}{187} = \frac{495 + 1800}{187} = \frac{2295}{187} = 12 \frac{71}{187} \)
3. \( \text{в)} \quad 7 \frac{3}{16} - 2 \frac{6}{16} + 5 \frac{8}{16} = \frac{115}{16} - \frac{38}{16} + \frac{88}{16} = \frac{77}{16} + \frac{88}{16} = \frac{165}{16} = 10 \frac{5}{16} \)

Ответ: а) \( \frac{18}{25} \); б) \( 12 \frac{71}{187} \); в) \( 10 \frac{5}{16} \).