Question

Найдите значение выражения a) 1/3 + 1/8 и 1/2 + 1/9 б) -3/11 - 5/7 и нужно

Answer 1

а)

$\frac{1}{3} ^{8} + \frac{1}{8} ^{3} = \frac{8}{24} + \frac{3}{24} = \frac{11}{24} \\$

$\frac{1}{2} ^{9} + \frac{1}{9}^{2} = \frac{9}{18} + \frac{2}{18} = \frac{11}{18} \\$

$\frac{11}{24}^{3} = \frac{33}{72} \\$

$\frac{11}{18}^{4} = \frac{44}{72} \\$

$\frac{33}{72} < \frac{44}{72} \\$

б)

$- \frac{3}{11}^{7} - \frac{5}{7}^{11} = - \frac{21}{77} - \frac{55}{77} = - \frac{76}{77} \\$

$\frac{5}{7} - \frac{3}{7} = \frac{2}{7}^{11} = \frac{22}{77} \\$

$- \frac{76}{77} < \frac{22}{77} \\$