Анонимно

Вычислите
3/8+1/12+1/6
------------------
1/12+1/3+5/6

2/3-1/6-4/9
----------------
7/9-5/12-5/18

Ответ

Анонимно
№1
1)[tex]\frac{3}{8}^{(3)} + \frac{1}{12}^{(2)} + \frac{1}{6}^{(4)} [/tex](НОК=24)
[tex] \frac{9}{24} + \frac{2}{24} + \frac{4}{24} = \frac{15}{24} [/tex]
2)[tex] \frac{1}{12}^{(1)} + \frac{1}{3}^{(4)} + \frac{5}{6}^{(2)} [/tex] (НОК=12)
[tex] \frac{1}{12}+ \frac{4}{12}+ \frac{10}{12}= \frac{15}{12} [/tex]
3)[tex] \frac{15}{24}: \frac{15}{12} = \frac{15}{24}* \frac{12}{15}= \frac{1}{2} [/tex]

№2
1)[tex] \frac{2}{3}^{(6)} - \frac{1}{6}^{(3)} - \frac{4}{9}^{(2)} [/tex] (НОК=18)
[tex] \frac{12}{18}- \frac{3}{18}- \frac{8}{18}= \frac{1}{18} [/tex]
2)[tex]\frac{7}{9}^{(4)} - \frac{5}{12}^{(3)} - \frac{5}{18}^{(2)} [/tex] (НОК=36)
[tex] \frac{28}{36}- \frac{15}{36}- \frac{10}{36}= \frac{3}{36}= \frac{1}{12} [/tex]
3)[tex] \frac{1}{18}: \frac{1}{12}= \frac{1}{18}: \frac{12}{1} = \frac{2}{3} [/tex]