Tính: \(A = \left( {17\frac{{29}}{{31}} - 3\frac{7}{8} + 17\frac{{51}}{{59}}} \right) - \left( {2\frac{{29}}{{31}} + 7\frac{{51}}{{59}} - 4} \right)\)

* Hướng dẫn giải

Ta có: 

\(\begin{array}{*{20}{l}} {A = \left( {17\frac{{29}}{{31}} - 3\frac{7}{8} + 17\frac{{51}}{{59}}} \right) - \left( {2\frac{{29}}{{31}} + 7\frac{{51}}{{59}} - 4} \right)}\\ { = 17\frac{{29}}{{31}} - 3\frac{7}{8} + 17\frac{{51}}{{59}} - 2\frac{{29}}{{31}} - 7\frac{{51}}{{59}} + 4}\\ { = \left( {17\frac{{29}}{{31}} - 2\frac{{29}}{{31}}} \right) + \left( {17\frac{{51}}{{59}} - 7\frac{{51}}{{59}}} \right) - 3\frac{7}{8} + 4}\\ { = 15 + 10 - \frac{{31}}{8} + 4 = \frac{{201}}{8} = 25\frac{1}{8}} \end{array}\)