5. Выполните действия: а) 6$$\frac{15}{23}$$+17$$\frac{13}{23}$$-3$$\frac{19}{23}$$; 6) 2$$\frac{7}{29}$$ + 19$$\frac{5}{29}$$ - 18$$\frac{24}{29}$$.

а)

$$6\frac{15}{23} + 17\frac{13}{23} - 3\frac{19}{23} = (6 + 17 - 3) + (\frac{15}{23} + \frac{13}{23} - \frac{19}{23}) = 20 + \frac{15 + 13 - 19}{23} = 20 + \frac{9}{23} = 20\frac{9}{23}$$.

Ответ: $$20\frac{9}{23}$$.

б)

$$2\frac{7}{29} + 19\frac{5}{29} - 18\frac{24}{29} = (2 + 19 - 18) + (\frac{7}{29} + \frac{5}{29} - \frac{24}{29}) = 3 + \frac{7 + 5 - 24}{29} = 3 + \frac{12 - 24}{29} = 3 - \frac{12}{29} = 2 + 1 - \frac{12}{29} = 2 + \frac{29}{29} - \frac{12}{29} = 2 + \frac{29 - 12}{29} = 2 + \frac{17}{29} = 2\frac{17}{29}$$.

Ответ: $$2\frac{17}{29}$$.