21/08/2023
Làm sao để có câu trả lời hay nhất?
21/08/2023
21/08/2023
$\displaystyle \begin{array}{{>{\displaystyle}l}}
Bài\ 11\\
a,\ \frac{11}{8} .\left(\left(\frac{-5}{11} :\frac{13}{8} -\frac{5}{11} :\frac{13}{5}\right) +\frac{-6}{33}\right) +\frac{-3}{4}\\
=\frac{11}{8} .\left(\left(\frac{-5}{11} .\frac{8}{13} +\frac{-5}{11} .\frac{5}{13}\right) +\frac{-6}{33}\right) +\frac{-3}{4}\\
=\frac{11}{8} .\left(\frac{-5}{11} .\left(\frac{8}{13} +\frac{5}{13}\right) +\frac{-6}{33}\right) +\frac{-3}{4}\\
=\frac{11}{8} .\left(\frac{-5}{11} +\frac{-6}{33}\right) +\frac{-3}{4}\\
=\frac{11}{8} .\left(\frac{-15}{33} +\frac{-6}{33}\right) +\frac{-3}{4}\\
=\frac{11}{8} .\frac{-21}{33} +\frac{-3}{4}\\
=\frac{-7}{8} +\frac{-6}{8}\\
=\frac{-13}{8}\\
b,\frac{2}{9} .\left(\frac{-4}{45} :\left(\frac{1}{5} -\frac{2}{15}\right) +1\frac{2}{3}\right) -\frac{-5}{27}\\
=\frac{2}{9} .\left(\frac{-4}{45} :\left(\frac{3}{15} -\frac{2}{15}\right) +\frac{5}{3}\right) -\frac{-5}{27}\\
=\frac{2}{9} .\left(\left(\frac{-4}{45} :\frac{1}{15}\right) +\frac{5}{3}\right) -\frac{-5}{27}\\
=\frac{2}{9} .\left(\left(\frac{-4}{45} .15\right) +\frac{5}{3}\right) -\frac{-5}{27}\\
=\frac{2}{9} .\left(\frac{-4}{3} +\frac{5}{3}\right) -\frac{-5}{27}\\
=\frac{2}{9} .\frac{1}{3} -\frac{-5}{27}\\
=\frac{2}{27} -\frac{-5}{27}\\
=\frac{7}{27}\\
c,\ \left(\frac{4}{5} +\frac{-9}{7}\right) :\frac{2021}{2022} +\left(\frac{-5}{7} -\frac{-6}{5}\right) :\frac{2021}{2022}\\
=\left(\frac{4}{5} +\frac{-9}{7}\right) .\frac{2022}{2021} +\left(\frac{-5}{7} -\frac{-6}{5}\right) .\frac{2022}{2021}\\
=\frac{2022}{2021} .\left(\frac{4}{5} +\frac{-9}{7} +\frac{-5}{7} -\frac{-6}{5}\right)\\
=\frac{2022}{2021} .0\\
=0
\end{array}$
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