Tính ​\(A = \left( {17\dfrac{{29}}{{31}} - 3\dfrac{7}{8} + 17\dfrac{{51}}{{59}}} \right) - \left( {2\dfrac{{29}}{{31}} + 7\dfrac{{51}}{{59}} - 4} \right)\) ta được kết quả là:

* Hướng dẫn giải

Ta có:

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