4. Найдите значение выражений. 11 2 8 17 11 a) 6+10; 6) 7+8; B) 11-6; 15 15 23 23 19 19 13 5 1 5 14 5 15 г) 16-7; д) 16-7; e) 6+15-7 18 18 8 8 19 19 29

Найдем значение выражений:

1. $$6\frac{11}{15} + 10\frac{2}{15} = (6+10) + (\frac{11}{15} + \frac{2}{15}) = 16 + \frac{11+2}{15} = 16 + \frac{13}{15} = 16\frac{13}{15}$$.
2. $$7\frac{8}{23} + 8\frac{17}{23} = (7+8) + (\frac{8}{23} + \frac{17}{23}) = 15 + \frac{8+17}{23} = 15 + \frac{25}{23} = 15 + 1\frac{2}{23} = 16\frac{2}{23}$$.
3. $$11\frac{11}{19} - 6 = (11-6) + \frac{11}{19} = 5\frac{11}{19}$$.
4. $$16\frac{13}{18} - 7\frac{5}{18} = (16-7) + (\frac{13}{18} - \frac{5}{18}) = 9 + \frac{13-5}{18} = 9 + \frac{8}{18} = 9 + \frac{4}{9} = 9\frac{4}{9}$$.
5. $$16\frac{1}{8} - 7\frac{5}{8} = (16-7) + (\frac{1}{8} - \frac{5}{8}) = 9 + \frac{1-5}{8} = 9 - \frac{4}{8} = 9 - \frac{1}{2} = 8 + 1 - \frac{1}{2} = 8 + \frac{2}{2} - \frac{1}{2} = 8\frac{1}{2}$$.
6. $$6\frac{14}{19} + 15\frac{5}{19} - 7\frac{15}{29} = (6+15-7) + (\frac{14}{19} + \frac{5}{19} - \frac{15}{29}) = 14 + (\frac{19}{19} - \frac{15}{29}) = 14 + (1 - \frac{15}{29}) = 14 + \frac{29-15}{29} = 14 + \frac{14}{29} = 14\frac{14}{29}$$.

Ответ:

1. $$6\frac{11}{15} + 10\frac{2}{15} = 16\frac{13}{15}$$
2. $$7\frac{8}{23} + 8\frac{17}{23} = 16\frac{2}{23}$$
3. $$11\frac{11}{19} - 6 = 5\frac{11}{19}$$
4. $$16\frac{13}{18} - 7\frac{5}{18} = 9\frac{4}{9}$$
5. $$16\frac{1}{8} - 7\frac{5}{8} = 8\frac{1}{2}$$
6. $$6\frac{14}{19} + 15\frac{5}{19} - 7\frac{15}{29} = 14\frac{14}{29}$$