Сравните значения выражений: 1/3+1/8 и 1/2+1/9.

Ответ:

\[\frac{1^{\backslash 8}}{3} + \frac{1^{\backslash 3}}{8} = \frac{8}{24} + \frac{3}{24} = \frac{11}{24}\]

\[\frac{1^{\backslash 9}}{2} + \frac{1^{\backslash 2}}{9} = \frac{9}{18} + \frac{2}{18} = \frac{11}{18}\]

\[\frac{11^{\backslash 3}}{24} = \frac{33}{72};\ \ \ \ \frac{11^{\backslash 4}}{18} = \frac{44}{72}\]

\[\frac{33}{72} < \frac{44}{72} \Longrightarrow \frac{1}{3} + \frac{1}{8} < \frac{1}{2} + \frac{1}{9}.\]