Question

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

Answer 1

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

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