197. Вычислите: 1) 4\frac{13}{17} + 5\frac{4}{17}; 3) 1 - \frac{16}{21}; 2) 3\frac{8}{11} + 2\frac{6}{11}; 4) 5 - 2\frac{3}{8}; 5) 8\frac{4}{9} - 3\frac{7}{9}; 6) 12\frac{19}{44} - 6\frac{37}{44}.

1) $$4\frac{13}{17} + 5\frac{4}{17} = (4 + 5) + (\frac{13}{17} + \frac{4}{17}) = 9 + \frac{17}{17} = 9 + 1 = 10$$

2) $$3\frac{8}{11} + 2\frac{6}{11} = (3 + 2) + (\frac{8}{11} + \frac{6}{11}) = 5 + \frac{14}{11} = 5 + 1\frac{3}{11} = 6\frac{3}{11}$$

3) $$1 - \frac{16}{21} = \frac{21}{21} - \frac{16}{21} = \frac{5}{21}$$

4) $$5 - 2\frac{3}{8} = 4\frac{8}{8} - 2\frac{3}{8} = (4 - 2) + (\frac{8}{8} - \frac{3}{8}) = 2 + \frac{5}{8} = 2\frac{5}{8}$$

5) $$8\frac{4}{9} - 3\frac{7}{9} = 7\frac{13}{9} - 3\frac{7}{9} = (7 - 3) + (\frac{13}{9} - \frac{7}{9}) = 4 + \frac{6}{9} = 4\frac{6}{9}$$

6) $$12\frac{19}{44} - 6\frac{37}{44} = 11\frac{63}{44} - 6\frac{37}{44} = (11 - 6) + (\frac{63}{44} - \frac{37}{44}) = 5 + \frac{26}{44} = 5\frac{26}{44}$$

Ответ: 1) $$10$$; 2) $$6\frac{3}{11}$$; 3) $$\frac{5}{21}$$; 4) $$2\frac{5}{8}$$; 5) $$4\frac{6}{9}$$; 6) $$5\frac{26}{44}$$