1. Найдите сумму: 1) $$3\frac{7}{9}+5\frac{1}{6}$$; 2) $$8\frac{7}{16}+3\frac{3}{10}$$; 3) $$6\frac{8}{12}+9\frac{7}{18}$$; 4) $$9\frac{3}{16}+4\frac{7}{12}+3\frac{5}{24}$$. 2. Вычислите: 1) $$1-\frac{6}{17}$$; 2) $$4-\frac{3}{26}$$; 3) $$6-1\frac{5}{6}$$; 4) $$9-3\frac{7}{22}$$. 3. Найдите разность: 1) $$8\frac{3}{7}-4\frac{2}{5}$$; 2) $$6\frac{11}{15}-2\frac{7}{10}$$; 3) $$16\frac{17}{18}-2\frac{11}{12}$$; 4) $$18\frac{13}{48}-5\frac{3}{64}$$. 4. Выполните вычитание: 1) $$3\frac{1}{18}-\frac{1}{9}$$; 2) $$3\frac{17}{27}-2\frac{13}{18}$$; 3) $$6\frac{3}{8}-2\frac{5}{9}$$; 4) $$8\frac{11}{42}-5\frac{43}{126}$$; 5) $$6\frac{7}{45}-4\frac{7}{20}$$; 6) $$9\frac{1}{21}-5\frac{16}{63}$$. 5. Решите уравнение: 1) $$8\frac{3}{4}-x=3\frac{5}{16}$$; 2) $$(x-9\frac{3}{7})+5\frac{8}{21}=6\frac{5}{14}$$

1. Найдите сумму: 1) $$3\frac{7}{9}+5\frac{1}{6} = \frac{34}{9} + \frac{31}{6} = \frac{68}{18} + \frac{93}{18} = \frac{161}{18} = 8\frac{17}{18}$$; 2) $$8\frac{7}{16}+3\frac{3}{10} = \frac{135}{16} + \frac{33}{10} = \frac{675}{80} + \frac{264}{80} = \frac{939}{80} = 11\frac{59}{80}$$; 3) $$6\frac{8}{12}+9\frac{7}{18} = 6\frac{2}{3}+9\frac{7}{18} = \frac{20}{3} + \frac{169}{18} = \frac{120}{18} + \frac{169}{18} = \frac{289}{18} = 16\frac{1}{18}$$; 4) $$9\frac{3}{16}+4\frac{7}{12}+3\frac{5}{24} = \frac{147}{16} + \frac{55}{12} + \frac{77}{24} = \frac{1323}{144} + \frac{660}{144} + \frac{462}{144} = \frac{2445}{144} = 16\frac{141}{144} = 16\frac{47}{48}$$. 2. Вычислите: 1) $$1-\frac{6}{17} = \frac{17}{17} - \frac{6}{17} = \frac{11}{17}$$; 2) $$4-\frac{3}{26} = \frac{104}{26} - \frac{3}{26} = \frac{101}{26} = 3\frac{23}{26}$$; 3) $$6-1\frac{5}{6} = 6 - \frac{11}{6} = \frac{36}{6} - \frac{11}{6} = \frac{25}{6} = 4\frac{1}{6}$$; 4) $$9-3\frac{7}{22} = 9 - \frac{73}{22} = \frac{198}{22} - \frac{73}{22} = \frac{125}{22} = 5\frac{15}{22}$$. 3. Найдите разность: 1) $$8\frac{3}{7}-4\frac{2}{5} = \frac{59}{7} - \frac{22}{5} = \frac{295}{35} - \frac{154}{35} = \frac{141}{35} = 4\frac{1}{35}$$; 2) $$6\frac{11}{15}-2\frac{7}{10} = \frac{101}{15} - \frac{27}{10} = \frac{202}{30} - \frac{81}{30} = \frac{121}{30} = 4\frac{1}{30}$$; 3) $$16\frac{17}{18}-2\frac{11}{12} = \frac{305}{18} - \frac{35}{12} = \frac{610}{36} - \frac{105}{36} = \frac{505}{36} = 14\frac{1}{36}$$; 4) $$18\frac{13}{48}-5\frac{3}{64} = \frac{877}{48} - \frac{323}{64} = \frac{5612}{384} - \frac{1938}{384} = \frac{3674}{384} = \frac{1837}{192} = 9\frac{121}{192}$$. 4. Выполните вычитание: 1) $$3\frac{1}{18}-\frac{1}{9} = \frac{55}{18} - \frac{1}{9} = \frac{55}{18} - \frac{2}{18} = \frac{53}{18} = 2\frac{17}{18}$$; 2) $$3\frac{17}{27}-2\frac{13}{18} = \frac{98}{27} - \frac{49}{18} = \frac{196}{54} - \frac{147}{54} = \frac{49}{54}$$; 3) $$6\frac{3}{8}-2\frac{5}{9} = \frac{51}{8} - \frac{23}{9} = \frac{459}{72} - \frac{184}{72} = \frac{275}{72} = 3\frac{59}{72}$$; 4) $$8\frac{11}{42}-5\frac{43}{126} = \frac{347}{42} - \frac{673}{126} = \frac{1041}{126} - \frac{673}{126} = \frac{368}{126} = \frac{184}{63} = 2\frac{58}{63}$$; 5) $$6\frac{7}{45}-4\frac{7}{20} = \frac{277}{45} - \frac{87}{20} = \frac{1108}{180} - \frac{783}{180} = \frac{325}{180} = \frac{65}{36} = 1\frac{29}{36}$$; 6) $$9\frac{1}{21}-5\frac{16}{63} = \frac{190}{21} - \frac{331}{63} = \frac{570}{63} - \frac{331}{63} = \frac{239}{63} = 3\frac{50}{63}$$. 5. Решите уравнение: 1) $$8\frac{3}{4}-x=3\frac{5}{16}$$; $$x = 8\frac{3}{4} - 3\frac{5}{16}$$; $$x = \frac{35}{4} - \frac{53}{16}$$; $$x = \frac{140}{16} - \frac{53}{16}$$; $$x = \frac{87}{16}$$; $$x = 5\frac{7}{16}$$. 2) $$(x-9\frac{3}{7})+5\frac{8}{21}=6\frac{5}{14}$$; $$(x-\frac{66}{7})+\frac{113}{21}=\frac{89}{14}$$; $$x-\frac{66}{7}=\frac{89}{14}-\frac{113}{21}$$; $$x-\frac{66}{7}=\frac{267}{42}-\frac{226}{42}$$; $$x-\frac{66}{7}=\frac{41}{42}$$; $$x=\frac{41}{42}+\frac{66}{7}$$; $$x=\frac{41}{42}+\frac{396}{42}$$; $$x=\frac{437}{42}$$; $$x=10\frac{17}{42}$$.