Сравните значения выражений: 0,5 и 1/9+4/5.

\[0,5\ \ \ \ и\ \ \ \ \ \frac{1}{9} + \frac{4}{5}\]

\[0,5 = \frac{1}{2}\]

\[\frac{1^{\backslash 5}}{9} + \frac{4^{\backslash 9}}{5} = \frac{5}{45} + \frac{36}{45} = \frac{41}{45} = \frac{82}{90}\]

\[0,5 = \frac{1}{2} = \frac{45}{90}\]

\[\frac{45}{90} < \frac{82}{90}\]

\[\Longrightarrow 0,5 < \frac{1}{9} + \frac{4}{5}.\]