№1. Выполните действия: a) 20$$\frac{17}{37}$$+14$$\frac{12}{37}$$+31$$\frac{8}{37}$$: б) 6$$\frac{100}{107}$$+9$$\frac{106}{107}$$: в) 12$$\frac{19}{32}$$-4$$\frac{3}{32}$$: г) 150-\frac{149}{150}$$: д) 17$$\frac{2}{13}$$-16$$\frac{5}{13}$$:

Решение:

а) 20$$\frac{17}{37}$$+14$$\frac{12}{37}$$+31$$\frac{8}{37}$$ = (20 + 14 + 31) + ($$\frac{17}{37}$$ +$$\frac{12}{37}$$ +$$\frac{8}{37}$$) = 65 + $$\frac{17 + 12 + 8}{37}$$ = 65 + $$\frac{37}{37}$$ = 65 + 1 = 66

б) 6$$\frac{100}{107}$$+9$$\frac{106}{107}$$ = (6 + 9) + ($$\frac{100}{107}$$ +$$\frac{106}{107}$$) = 15 + $$\frac{100 + 106}{107}$$ = 15 + $$\frac{206}{107}$$ = 15 + 1$$\frac{99}{107}$$ = 16$$\frac{99}{107}$$

в) 12$$\frac{19}{32}$$-4$$\frac{3}{32}$$ = (12 - 4) + ($$\frac{19}{32}$$-$$\frac{3}{32}$$) = 8 + $$\frac{19 - 3}{32}$$ = 8 + $$\frac{16}{32}$$ = 8 + $$\frac{1}{2}$$ = 8$$\frac{1}{2}$$

г) 150 - $$\frac{149}{150}$$ = 149 + 1 - $$\frac{149}{150}$$ = 149 + $$\frac{150}{150}$$ -$$\frac{149}{150}$$ = 149 +$$\frac{150 - 149}{150}$$ = 149 + $$\frac{1}{150}$$ = 149$$\frac{1}{150}$$

д) 17$$\frac{2}{13}$$-16$$\frac{5}{13}$$ = (17 - 16) + ($$\frac{2}{13}$$-$$\frac{5}{13}$$) = 1 -$$\frac{3}{13}$$ = $$\frac{13}{13}$$-$$\frac{3}{13}$$ = $$\frac{10}{13}$$

Ответ: а) 66; б) 16$$\frac{99}{107}$$; в) 8$$\frac{1}{2}$$; г) 149$$\frac{1}{150}$$; д) $$\frac{10}{13}$$