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\(\frac{1}{3}-\frac{3}{5}+\frac{5}{7}-\frac{7}{9}+\frac{9}{11}-\frac{11}{13}+\frac{13}{15}+\frac{11}{13}-\frac{9}{11}+\frac{7}{9}-\frac{5}{7}+\frac{3}{5}\)
\(=\left(-\frac{3}{5}+\frac{3}{5}\right)+\left(\frac{5}{7}-\frac{5}{7}\right)+\left(-\frac{7}{9}+\frac{7}{9}\right)+\left(\frac{9}{11}-\frac{9}{11}\right)+\left(-\frac{11}{13}+\frac{11}{13}\right)+\left(\frac{1}{3}+\frac{13}{15}\right)\)
\(=\frac{1}{3}+\frac{13}{15}\)
\(=\frac{6}{5}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(=\dfrac{-5}{11}\left(\dfrac{13}{8}+\dfrac{13}{5}\right)+\dfrac{-1}{33}\)
\(=\dfrac{-5}{11}\cdot\dfrac{13\cdot13}{40}+\dfrac{-1}{33}\)
\(=\dfrac{-1}{8}\cdot\dfrac{169}{11}+\dfrac{-1}{33}=\dfrac{-169}{88}-\dfrac{1}{33}=\dfrac{-515}{264}\)
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−5/9. 15 11/13−(−5/9).11 11/13+5/9
= −5/9 . (15 11/13 − 11 11/13) + 5/9
= −5/9 . 4 + 5/9
= −20/9 + 5/9
= −5/3
Like cho mình nha
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(-5/11:13/8-5/11:13/5)+-1/33
= (-5/11.8/13-5/11.5/13)+-1/33
= -5/11.(8/13+5/13)+-1/33
=-5/11.1+-1/33
=-5/11+-1/33
=-16/33
mk lm đại ko bt đúng hay ko
test lại dùm mk nha
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\(\dfrac{\dfrac{3}{4}-\dfrac{3}{5}+\dfrac{3}{7}+\dfrac{3}{11}}{\dfrac{13}{4}-\dfrac{13}{5}+\dfrac{13}{7}+\dfrac{13}{11}}=\dfrac{3\left(\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{7}+\dfrac{1}{11}\right)}{13\left(\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{7}+\dfrac{1}{11}\right)}=\dfrac{3}{13}\)
\(\dfrac{\dfrac{3}{4}-\dfrac{3}{5}+\dfrac{3}{7}+\dfrac{3}{11}}{\dfrac{13}{4}-\dfrac{13}{5}+\dfrac{13}{7}+\dfrac{13}{11}}\)
= \(\dfrac{3.\left(\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{7}+\dfrac{1}{11}\right)}{13.\left(\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{7}+\dfrac{1}{11}\right)}=\dfrac{3}{13}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\dfrac{1}{3}-\dfrac{3}{5}+\dfrac{5}{7}-\dfrac{7}{9}+\dfrac{9}{11}-\dfrac{11}{13}+\dfrac{13}{15}+\dfrac{11}{13}-\dfrac{9}{11}+\dfrac{7}{9}-\dfrac{5}{7}+\dfrac{3}{5}-\dfrac{1}{3}\)
\(=\left(\dfrac{1}{3}-\dfrac{1}{3}\right)-\left(\dfrac{3}{5}-\dfrac{3}{5}\right)+\left(\dfrac{5}{7}-\dfrac{5}{7}\right)-\left(\dfrac{7}{9}-\dfrac{7}{9}\right)+\left(\dfrac{9}{11}-\dfrac{9}{11}\right)-\left(\dfrac{11}{13}-\dfrac{11}{13}\right)+\dfrac{13}{15}\)
\(=\dfrac{13}{15}\)
\(-\dfrac{5}{13}+\dfrac{11}{13}=\dfrac{11-5}{13}=\dfrac{6}{13}\)
\(\dfrac{-5}{13}+\dfrac{11}{13}=\dfrac{-5+11}{13}=\dfrac{6}{13}\)