Вопрос:

Сравните значения выражений: -2/17-1/3 и -1/17-2/3.

Ответ:

\[- \frac{2}{17} - \frac{1}{3}\ \ \ \ \ и\ \ \ \ - \frac{1}{17} - \frac{2}{3}\]

\[- \frac{2^{\backslash 3}}{17} - \frac{1^{\backslash 17}}{3} = \frac{- 6 - 17}{51} = - \frac{23}{51}\]

\[- \frac{1^{\backslash 3}}{17} - \frac{2^{\backslash 17}}{3} = \frac{- 3 - 34}{51} = - \frac{37}{51}\]

\[- \frac{23}{51} > - \frac{37}{51}\]

\[\Longrightarrow - \frac{2}{17} - \frac{1}{3} > - \frac{1}{17} - \frac{2}{3}.\]


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