Tính
\(\begin{array}{l}
a)\frac{2}{3} + \frac{1}{5}.\frac{{10}}{7}\\
b)\frac{7}{{12}} - \frac{{27}}{7}.\frac{1}{{18}}\\
c)\left( {\frac{{23}}{{41}} - \frac{{15}}{{82}}} \right).\frac{{41}}{{25}}\\
d)\left( {\frac{4}{5} + \frac{1}{2}} \right).\left( {\frac{3}{{13}} - \frac{8}{{13}}} \right)
\end{array}\)
\(\begin{array}{l}
a)\frac{2}{3} + \frac{1}{5}.\frac{{10}}{7} = \frac{2}{3} + \frac{2}{7}\\
= \frac{{14}}{{21}} + \frac{6}{{21}} = \frac{{20}}{{21}}\\
b)\frac{7}{{12}} - \frac{{27}}{7}.\frac{1}{{18}}\\
= \frac{7}{{12}} - \frac{3}{{14}}\\
= \frac{{98 - 36}}{{12.14}} = \frac{{31}}{{84}}\\
c)\left( {\frac{{23}}{{41}} - \frac{{15}}{{82}}} \right).\frac{{41}}{{25}}\\
= \left( {\frac{{46}}{{82}} - \frac{{15}}{{82}}} \right).\frac{{41}}{{25}}\\
= \frac{{31}}{{82}}.\frac{{41}}{{25}} = \frac{{31}}{{50}}\\
d)\left( {\frac{4}{5} + \frac{1}{2}} \right).\left( {\frac{3}{{13}} - \frac{8}{{13}}} \right)\\
= \frac{{4.2 + 5}}{{10}}.\frac{{3 - 8}}{{13}}\\
= \frac{{13}}{{10}}.\frac{{ - 5}}{{13}} = \frac{{ - 1}}{2}
\end{array}\)
-- Mod Toán 6
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