5$$\frac{7}{9}$$ + 4$$\frac{5}{6}$$ = 7$$\frac{3}{4}$$ + 2$$\frac{1}{3}$$ = 4$$\frac{5}{6}$$ + 3$$\frac{7}{8}$$ = 2$$\frac{2}{3}$$ + 4$$\frac{3}{5}$$ =

Question

Вопрос:

Ответ:

Accepted Answer

5$$\frac{7}{9}$$ + 4$$\frac{5}{6}$$ = $$\frac{5\cdot9 + 7}{9} + \frac{4\cdot6 + 5}{6} = \frac{52}{9} + \frac{29}{6} = \frac{52\cdot2}{9\cdot2} + \frac{29\cdot3}{6\cdot3} = \frac{104}{18} + \frac{87}{18} = \frac{104+87}{18} = \frac{191}{18} = 10\frac{11}{18}$$. Ответ: 10 11/18
7$$\frac{3}{4}$$ + 2$$\frac{1}{3}$$ = $$\frac{7\cdot4 + 3}{4} + \frac{2\cdot3 + 1}{3} = \frac{31}{4} + \frac{7}{3} = \frac{31\cdot3}{4\cdot3} + \frac{7\cdot4}{3\cdot4} = \frac{93}{12} + \frac{28}{12} = \frac{93+28}{12} = \frac{121}{12} = 10\frac{1}{12}$$. Ответ: 10 1/12
4$$\frac{5}{6}$$ + 3$$\frac{7}{8}$$ = $$\frac{4\cdot6 + 5}{6} + \frac{3\cdot8 + 7}{8} = \frac{29}{6} + \frac{31}{8} = \frac{29\cdot4}{6\cdot4} + \frac{31\cdot3}{8\cdot3} = \frac{116}{24} + \frac{93}{24} = \frac{116+93}{24} = \frac{209}{24} = 8\frac{17}{24}$$. Ответ: 8 17/24
2$$\frac{2}{3}$$ + 4$$\frac{3}{5}$$ = $$\frac{2\cdot3 + 2}{3} + \frac{4\cdot5 + 3}{5} = \frac{8}{3} + \frac{23}{5} = \frac{8\cdot5}{3\cdot5} + \frac{23\cdot3}{5\cdot3} = \frac{40}{15} + \frac{69}{15} = \frac{40+69}{15} = \frac{109}{15} = 7\frac{4}{15}$$. Ответ: 7 4/15