\(-\left(\dfrac{2}{11}+\dfrac{3}{13}\right)-\left(-\dfrac{3}{13}+\dfrac{9}{11}\right)\)
\(=-\dfrac{2}{11}-\dfrac{3}{13}+\dfrac{3}{13}-\dfrac{9}{11}\)
\(=-\dfrac{11}{11}=-1\)
\(-\left(\dfrac{2}{11}+\dfrac{3}{13}\right)-\left(-\dfrac{3}{13}+\dfrac{9}{11}\right)\)
\(=-\dfrac{2}{11}-\dfrac{3}{13}+\dfrac{3}{13}-\dfrac{9}{11}\)
\(=-\dfrac{11}{11}=-1\)
\(\dfrac{11}{8}.\left[\left(-\dfrac{5}{11}:\dfrac{13}{8}-\dfrac{5}{11}:\dfrac{13}{15}\right)+\dfrac{-6}{33}\right]+\dfrac{-3}{4}\)
\(\dfrac{2022}{2023}.\left(\dfrac{9}{13}-\dfrac{7}{11}\right)+\dfrac{2022}{2023}.\left(\dfrac{17}{13}-\dfrac{4}{17}\right)\)
a) \(\dfrac{2}{3}\)+\(\dfrac{3}{4}\).\(\left(-\dfrac{4}{9}\right)\)
b) \(-\dfrac{5}{7}\).\(\dfrac{31}{33}\)+\(-\dfrac{5}{7}\):\(\dfrac{33}{2}\)
c) \(-\dfrac{3}{5}\).\(\dfrac{13}{11}\) _ \(-\dfrac{3}{5}\).\(\dfrac{2}{11}\)
1, Tính hợp lí
\(A=\dfrac{0.5+\dfrac{7}{12}-\dfrac{5}{6}}{1-\dfrac{2}{3}+0,75}\)
\(B=-66.\left(\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{11}\right)+124.\left(-37\right)+126.\left(-62\right)\)
\(N=\left(60\dfrac{7}{13}+50\dfrac{8}{13}-11.\dfrac{2}{13}\right)x\) (Với \(x=-2017\dfrac{7}{10}\))
\(M=\left(1-\dfrac{2}{2.3}\right).\left(1-\dfrac{2}{3.4}\right).\left(1-\dfrac{2}{4.5}\right).....\left(1-\dfrac{2}{99.100}\right)\)
1.Tính nhanh:
a)\(13\dfrac{3}{5}-\left(8\dfrac{3}{5}-4\dfrac{3}{4}\right)\) b)\(11\dfrac{1}{4}-\left(2\dfrac{5}{7}+5\dfrac{1}{4}\right)\)
Tính nhanh
\(c,\dfrac{-5}{13}-\left(\dfrac{3}{5}+\dfrac{3}{13}-\dfrac{4}{10}\right)\)
\(d,\left(\dfrac{1}{9}-\dfrac{9}{17}\right)+\dfrac{3}{6}-\left(\dfrac{12}{17}-\dfrac{1}{2}\right)+\dfrac{5}{9}\)
Tính:
a) \(\sqrt{\dfrac{9}{16}}-\dfrac{5}{6}+\dfrac{3}{2}\) b) \(\left(\dfrac{1}{9}+\dfrac{2}{3}\right)^2-\dfrac{5}{3}:\sqrt{25}\)
c)\(\dfrac{5}{11}.\left(-\dfrac{3}{7}\right)+\dfrac{5}{11}.\left(\dfrac{-5}{7}\right)+\left(-\dfrac{8}{7}\right).\dfrac{6}{11}\)
d) \(\dfrac{2^8.2^{18}}{8^5.4^6}\)
\(\left(\dfrac{-4}{3}+\dfrac{5}{13}\right)\div\dfrac{2}{7}-\left(\dfrac{9}{4}+\dfrac{8}{13}\right)\div\dfrac{2}{7}\)
\(\dfrac{4^{10}\times9^6+3^{12}\times8^5}{6^{13}\times4-2^{16}\times3^{12}}\)
\(\dfrac{2^4\times2^6}{\left(2^5\right)^2}-\dfrac{2^5\times15^3}{6^3\times10^2}\)
\(\dfrac{\left(-2\right)^{10}\times3^{31}+2^{40}\times\left(-3\right)^6}{\left(-2\right)^{11}\times\left(-3\right)^{31}+2^{41}\times3^6}\)
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