Tính ​\( 0,(5) - 1\frac{1}{3} + 1,1(4)\)

* Hướng dẫn giải

Ta có:

\(\begin{array}{l} 0,(5) = \frac{5}{9}\\ 1,1(4) = 1 + \frac{{14 - 1}}{{90}} = 1 + \frac{{13}}{{90}} = \frac{{103}}{{90}}\\ \to 0,(5) - 1\frac{1}{3} + 1,1\left( 4 \right) = \frac{5}{9} - \frac{4}{3} + \frac{{103}}{{90}} = \frac{{50}}{{90}} - \frac{{120}}{{90}} + \frac{{103}}{{90}} = \frac{{33}}{{90}} = \frac{{11}}{{30}} \end{array}\)