197. Вычислите:

Решение:

1. \(7\frac{9}{16} + 8\frac{7}{16} = \frac{7 \cdot 16 + 9 + 8 \cdot 16 + 7}{16} = \frac{112 + 9 + 128 + 7}{16} = \frac{121 + 135}{16} = \frac{256}{16} = 16\)
2. \(4\frac{9}{19} + 5\frac{13}{19} = \frac{4 \cdot 19 + 9 + 5 \cdot 19 + 13}{19} = \frac{76 + 9 + 95 + 13}{19} = \frac{85 + 108}{19} = \frac{193}{19}\)
3. \(1 - \frac{16}{25} = \frac{25 - 16}{25} = \frac{9}{25}\)
4. \(4 - 1\frac{7}{12} = 4 - \frac{19}{12} = \frac{4 \cdot 12 - 19}{12} = \frac{48 - 19}{12} = \frac{29}{12}\)
5. \(6\frac{5}{14} - 2\frac{11}{14} = \frac{6 \cdot 14 + 5 - 2 \cdot 14 - 11}{14} = \frac{84 + 5 - 28 - 11}{14} = \frac{89 - 39}{14} = \frac{50}{14} = \frac{25}{7}\)
6. \(19\frac{11}{35} - 12\frac{29}{35} = \frac{19 \cdot 35 + 11 - 12 \cdot 35 - 29}{35} = \frac{665 + 11 - 420 - 29}{35} = \frac{676 - 449}{35} = \frac{227}{35}\)