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$1) \: 2 \frac{3}{11} + 1 \frac{3}{77} \\ = \frac{25}{11} + \frac{80}{77} \\ lcm \: of \: 11,77 = 77 \\ = \frac{175 + 80}{77} \\ = \frac{255}{77} = 3 \frac{24}{77} (ans)$

$2) \: \frac{7}{11} - \frac{3}{7} \\ lcm \: of \: 11 \: and \: 7 = 77 \\ = \frac{49 - 33}{77} \\ = \frac{16}{77} (ans)$

$\frac{12}{5} \times \frac{4}{15} \\ = \frac{12 \times 4}{5 \times 15} \\ = \frac{48}{75} \\ = \frac{48 \div 3}{75 \div 3} \\ = \frac{16}{25} (ans)$

$\frac{ - 5}{13} \div \frac{7}{26} \\ = reciprocal \: of \: \frac{7}{26} \: is \: \frac{26}{7} \\ = \frac{ - 5}{13} \times \frac{26}{7} \\ = \frac{ - 5}{1} \times \frac{2}{7} \\ = \frac{ - 10}{7}(ans)$

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