8 Игра «Спортивное ориентирование» Реши примеры и запиши ответы в подходящие кружки: (4$$\frac{5}{11}$$+8$$\frac{9}{11}$$)-(5$$\frac{7}{11}$$-3$$\frac{8}{11}$$)+1$$\frac{3}{11}$$ 4$$\frac{5}{11}$$ +(8$$\frac{9}{11}$$-5$$\frac{7}{11}$$)-3$$\frac{8}{11}$$ +1$$\frac{3}{11}$$ 4$$\frac{5}{11}$$+8$$\frac{9}{11}$$ -(5$$\frac{7}{11}$$-3$$\frac{8}{11}$$ +1$$\frac{3}{11}$$)

Решим примеры по действиям:

1. (4$$\frac{5}{11}$$+8$$\frac{9}{11}$$)-(5$$\frac{7}{11}$$-3$$\frac{8}{11}$$)+1$$\frac{3}{11}$$ = ($$\frac{4\cdot 11 + 5}{11}$$+$$\frac{8\cdot 11 + 9}{11}$$)-($$\frac{5\cdot 11 + 7}{11}$$-$$\frac{3\cdot 11 + 8}{11}$$)+$$\frac{1\cdot 11 + 3}{11}$$ = ($$\frac{49}{11}$$+$$\frac{97}{11}$$)-($$\frac{62}{11}$$-$$\frac{41}{11}$$)+$$\frac{14}{11}$$ = $$\frac{49+97}{11}$$-$$\frac{62-41}{11}$$+$$\frac{14}{11}$$ = $$\frac{146}{11}$$-$$\frac{21}{11}$$+$$\frac{14}{11}$$ = $$\frac{146-21+14}{11}$$ = $$\frac{139}{11}$$ = 12$$\frac{7}{11}$$
2. 4$$\frac{5}{11}$$ +(8$$\frac{9}{11}$$-5$$\frac{7}{11}$$)-3$$\frac{8}{11}$$ +1$$\frac{3}{11}$$ = $$\frac{4\cdot 11 + 5}{11}$$ +($$\frac{8\cdot 11 + 9}{11}$$-$$\frac{5\cdot 11 + 7}{11}$$)-$$\frac{3\cdot 11 + 8}{11}$$ +$$\frac{1\cdot 11 + 3}{11}$$ = $$\frac{49}{11}$$ +$$\frac{97}{11}$$-$$\frac{62}{11}$$-$$\frac{41}{11}$$ +$$\frac{14}{11}$$ = $$\frac{49+97-62-41+14}{11}$$ = $$\frac{57}{11}$$ = 5$$\frac{2}{11}$$
3. 4$$\frac{5}{11}$$+8$$\frac{9}{11}$$ -(5$$\frac{7}{11}$$-3$$\frac{8}{11}$$ +1$$\frac{3}{11}$$) = $$\frac{4\cdot 11 + 5}{11}$$+$$\frac{8\cdot 11 + 9}{11}$$ -($$\frac{5\cdot 11 + 7}{11}$$-$$\frac{3\cdot 11 + 8}{11}$$ +$$\frac{1\cdot 11 + 3}{11}$$) = $$\frac{49}{11}$$+$$\frac{97}{11}$$ -($$\frac{62}{11}$$-$$\frac{41}{11}$$ +$$\frac{14}{11}$$) = $$\frac{49+97}{11}$$ -$$\frac{62-41+14}{11}$$ = $$\frac{146}{11}$$ -$$\frac{35}{11}$$ = $$\frac{146-35}{11}$$ = $$\frac{111}{11}$$ = 10$$\frac{1}{11}$$

Ответ: 1) 12$$\frac{7}{11}$$; 2) 5$$\frac{2}{11}$$; 3) 10$$\frac{1}{11}$$