Tính nhanh
\(\begin{array}{l}
A = \frac{5}{{13}} + \frac{{ - 5}}{7} + \frac{{ - 20}}{{41}} + \frac{8}{{13}} + \frac{{ - 21}}{{41}}\\
B = \frac{{ - 5}}{9} + \frac{8}{{15}} + \frac{{ - 2}}{{11}} + \frac{4}{{ - 9}} + \frac{7}{{15}}
\end{array}\)
\(\begin{array}{l}
A = \frac{5}{{13}} + \frac{{ - 5}}{7} + \frac{{ - 20}}{{41}} + \frac{8}{{13}} + \frac{{ - 21}}{{41}}\\
= \left( {\frac{5}{{13}} + \frac{8}{{13}}} \right) + \left( {\frac{{ - 20}}{{41}} + \frac{{ - 21}}{{41}}} \right) + \frac{{ - 5}}{7}\\
= 1 + \left( { - 1} \right) + \frac{{ - 5}}{7} = \frac{{ - 5}}{7}\\
B = \frac{{ - 5}}{9} + \frac{8}{{15}} + \frac{{ - 2}}{{11}} + \frac{4}{{ - 9}} + \frac{7}{{15}}\\
= \frac{{ - 5}}{9} + \frac{8}{{15}} + \frac{{ - 2}}{{11}} + \frac{{ - 4}}{9} + \frac{7}{{15}}\\
= \left( {\frac{{ - 5}}{9} + \frac{{ - 4}}{9}} \right) + \left( {\frac{8}{{15}} + \frac{7}{{15}}} \right) + \frac{{ - 2}}{{11}}\\
= - 1 + 1 + \frac{{ - 2}}{{11}} = \frac{{ - 2}}{{11}}
\end{array}\)
-- Mod Toán 6
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