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Đáp án:
6) \(\dfrac{{87}}{{40}}\)
Giải thích các bước giải:
\(\begin{array}{l}
2)B = 5 - \dfrac{3}{4} + \dfrac{1}{5} - 6 - \dfrac{7}{4} + \dfrac{8}{5} - 2 + \dfrac{5}{4} - \dfrac{{16}}{5}\\
= - 3 - \dfrac{5}{4} - \dfrac{7}{5}\\
= - \dfrac{{17}}{4} - \dfrac{7}{5} = - \dfrac{{113}}{{20}}\\
3)C = \dfrac{4}{3} + \dfrac{3}{7} + \dfrac{2}{6} - \dfrac{{23}}{{24}} + \dfrac{6}{7} + \dfrac{2}{{18}} + \dfrac{3}{{40}}\\
= \left( {\dfrac{4}{3} + \dfrac{2}{6} + \dfrac{2}{{18}}} \right) + \dfrac{9}{7} - \dfrac{{23}}{{24}} + \dfrac{3}{{40}}\\
= \dfrac{{16}}{9} + \dfrac{9}{7} - \dfrac{{23}}{{24}} + \dfrac{3}{{40}}\\
= \dfrac{{193}}{{63}} - \dfrac{{23}}{{24}} + \dfrac{3}{{40}} = \dfrac{{1061}}{{504}} + \dfrac{3}{{40}}\\
= \dfrac{{2747}}{{1260}}\\
4)D = 6 - \dfrac{2}{3} + \dfrac{5}{{16}} - 2 - \dfrac{4}{3} + \dfrac{7}{8} - 6 + \dfrac{5}{8} - \dfrac{{13}}{{12}}\\
= - 2 - 2 + \dfrac{5}{{16}} + \dfrac{7}{8} + \dfrac{5}{8} - \dfrac{{13}}{{12}}\\
= - 4 + \dfrac{5}{{16}} + \dfrac{3}{2} - \dfrac{{13}}{{12}}\\
= - \dfrac{{59}}{{16}} + \dfrac{3}{2} - \dfrac{{13}}{{12}}\\
= - \dfrac{{35}}{{16}} - \dfrac{{13}}{{12}} = - \dfrac{{157}}{{48}}\\
5)E = \dfrac{8}{4} + \dfrac{3}{6} + \dfrac{3}{4} - \dfrac{3}{4} + \dfrac{1}{7} + \dfrac{{11}}{{14}} + \dfrac{{17}}{4}\\
= \dfrac{{25}}{4} + \dfrac{3}{6} + \dfrac{1}{7} + \dfrac{{11}}{{14}}\\
= \dfrac{{27}}{4} + \dfrac{{13}}{{14}} = \dfrac{{215}}{{28}}\\
6)F = 7 - \dfrac{3}{5} + \dfrac{1}{4} - 2 - \dfrac{7}{8} + \dfrac{3}{5} - 2 + \dfrac{3}{{10}} - \dfrac{1}{2}\\
= 3 + \dfrac{1}{4} - \dfrac{7}{8} + \dfrac{3}{{10}} - \dfrac{1}{2}\\
= 3 - \dfrac{9}{8} + \dfrac{3}{{10}} = \dfrac{{15}}{8} + \dfrac{3}{{10}} = \dfrac{{87}}{{40}}
\end{array}\)
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