Câu hỏi :

Tính \(\frac{{39}}{5} + \left( {\frac{9}{4} - \frac{9}{5}} \right) - \left( {\frac{5}{4} + \frac{6}{7}} \right)\)

A. \(\frac{{ - 43}}{7}\);

B. \(\frac{{13}}{7}\);

C. \(\frac{{43}}{7}\);

D. \(\frac{{ - 13}}{7}\).

* Đáp án

* Hướng dẫn giải

Đáp án đúng là: C

\(\frac{{39}}{5} + \left( {\frac{9}{4} - \frac{9}{5}} \right) - \left( {\frac{5}{4} + \frac{6}{7}} \right)\)

= \(\frac{{39}}{5} + \frac{9}{4} - \frac{9}{5} - \frac{5}{4} - \frac{6}{7}\)

= \(\left( {\frac{{39}}{5} - \frac{9}{5}} \right) + \left( {\frac{9}{4} - \frac{5}{4}} \right) - \frac{6}{7}\)

= \(6 + 1 - \frac{6}{7}\)

= \(7 - \frac{6}{7}\)

= \(\frac{{49}}{7} - \frac{6}{7}\) = \(\frac{{43}}{7}\)

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