Ответ:

а) \(9\frac{3}{13}+5\frac{2}{13}-6\frac{1}{13}=14\frac{5}{13}-6\frac{1}{13}=8\frac{4}{13}\).

б) \(5\frac{2}{7}-2\frac{5}{8}=5\frac{16}{56}-2\frac{35}{56}=4\frac{72}{56}-2\frac{35}{56}=2\frac{37}{56}\).

в) \(\frac{9}{38}+2\frac{5}{19}+6\frac{1}{2}=8+\frac{9}{38}+\frac{10}{38}+\frac{19}{38}=8+1=9\).

г) \(\frac{6}{7}\cdot49=6\cdot7=42\).

д) \(1\frac{5}{49}:\frac{36}{42}=\frac{54}{49}:\frac{6}{7}=\frac{54}{49}\cdot\frac{7}{6}=\frac{9}{7}=1\frac{2}{7}\).

Ответ: а) \(8\frac{4}{13}\); б) \(2\frac{37}{56}\); в) \(9\); г) \(42\); д) \(1\frac{2}{7}\).