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\(5\cdot\frac{6}{13}\cdot\frac{9}{10}\cdot\frac{13}{36}=\frac{5\cdot6\cdot9\cdot13}{13.10.36}=\frac{5\cdot36\cdot13}{10\cdot36\cdot13}=\frac{5}{10}=\frac{1}{2}\)
Ế cái dấu âm do có chẵn thừa số nên bỏ đi cx đc nhá ( sợ chửi :v )
a) \(\frac{1}{3}-\frac{3}{5}+\frac{5}{7}-\frac{7}{9}+\frac{9}{11}-\frac{11}{13}+\frac{13}{5}+\frac{11}{13}-\frac{9}{11}+\frac{7}{9}-\frac{5}{7}+\frac{3}{5}-\frac{1}{3}\)
=\(\left(\frac{1}{3}-\frac{1}{3}\right)+\left(\frac{5}{7}-\frac{5}{7}\right)+\left(\frac{7}{9}-\frac{7}{9}\right)+\left(\frac{11}{13}-\frac{11}{13}\right)+\frac{13}{5}\)
=\(\frac{0}{3}+\frac{0}{7}+\frac{0}{9}+\frac{0}{13}+\frac{13}{15}\)
=\(0+0+0+0+\frac{13}{5}\)
=\(\frac{13}{5}\)
\(\frac{1}{3}-\frac{3}{5}+\frac{5}{7}-\frac{7}{9}+\frac{9}{11}-\frac{11}{13}+\frac{13}{5}+\frac{11}{13}-\frac{9}{11}+\frac{7}{9}-\frac{5}{7}+\frac{3}{5}-\frac{1}{3}\)
\(=\left(\frac{1}{3}-\frac{1}{3}\right)+\left(\frac{-3}{5}+\frac{3}{5}\right)+\left(\frac{5}{7}-\frac{5}{7}\right)+\left(\frac{-7}{9}+\frac{7}{9}\right)+\left(\frac{-11}{13}+\frac{11}{13}\right)+\frac{13}{5}\)
\(=0+0+0+0+0+\frac{13}{5}\)
\(=\frac{13}{5}\)
Chúc bạn học tốt !
a, \(\frac{-3}{7}+\frac{5}{13}-\frac{4}{7}+\frac{8}{13}\)
\(=\frac{-3}{7}-\frac{4}{7}+\frac{5}{13}+\frac{8}{13}\)
\(=-\frac{7}{7}+\frac{13}{13}=-1+1=0\)
b, \(\frac{-5}{14}-\frac{2}{-14}+\frac{1}{8}+\frac{1}{8}\)
\(=\frac{-5}{14}+\frac{2}{14}+\frac{1}{8}+\frac{1}{8}\)
\(=-\frac{3}{14}+\frac{1}{4}=\frac{1}{28}\)
c,\(-\frac{5}{13}-\left(\frac{3}{5}+\frac{3}{13}-\frac{4}{10}\right)\)
\(=-\frac{5}{13}-\frac{3}{13}-\frac{3}{5}+\frac{4}{10}\)
\(=-\frac{8}{13}-\frac{3}{5}+\frac{4}{10}=-\frac{79}{65}+\frac{4}{10}=-\frac{53}{65}\)
d, \(\left[\left(\frac{1}{8}-\frac{9}{7}+\frac{4}{6}-\frac{12}{7}-\frac{1}{2}\right)+\frac{5}{9}\right]\)
\(=\left[\left(\frac{1}{8}-\frac{9}{7}+\frac{2}{3}-\frac{12}{7}-\frac{1}{2}\right)+\frac{5}{9}\right]\)
\(=\left[\left(\frac{1}{8}-\frac{1}{2}-\frac{9}{7}-\frac{12}{7}+\frac{2}{3}\right)+\frac{5}{9}\right]\)
\(=-\frac{65}{24}+\frac{5}{9}=-2\frac{11}{72}\)
a)-3/7+5/13-4/7+8/13
=-3/7-4/7+5/13+8/13
=-7/7+13/13
=-1+1
=0
F = (-5) . (\(\dfrac{-6}{13}\)) . (- \(\dfrac{9}{10}\)).( - \(\dfrac{13}{36}\))
F = \(\dfrac{30}{13}\) . \(\dfrac{13}{40}\)
F = \(\dfrac{3}{4}\)
$= (-5). \dfrac{-6}{13} . \dfrac{-9}{10} . \dfrac{-13}{36}$
$= \dfrac{ 5.6.9.13}{13.10.36}$
$= \dfrac{5.6.9.13}{13.5.2.6.6}$
$= \dfrac{9}{2.6}$
$= \dfrac{9}{12}$
$= \dfrac{3}{4}$