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hellu cả lò nhà mik ạ giải giúp mik vs cả lò nhà mik ui
-5/7-(-5/67)+13/30+1/2+(-1 5/6)+1 3/14-(-2/5)
![](https://rs.olm.vn/images/avt/0.png?1311)
=13/30-1-5/6+2/5+17/14+1/2-5/7+5/67
=-1+17/14-3/14+5/67
=-1+1+5/67
=5/67
![](https://rs.olm.vn/images/avt/0.png?1311)
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, \(\left[\left(\frac{1}{8}-\frac{9}{7}+\frac{4}{6}-\frac{12}{7}-\frac{1}{2}\right)+\frac{5}{9}\right]\)
\(=\left[\left(\frac{1}{8}-\frac{9}{7}+\frac{2}{3}-\frac{12}{7}-\frac{1}{2}\right)+\frac{5}{9}\right]\)
\(=\left[\left(\frac{1}{8}-\frac{1}{2}-\frac{9}{7}-\frac{12}{7}+\frac{2}{3}\right)+\frac{5}{9}\right]\)
\(=-\frac{65}{24}+\frac{5}{9}=-2\frac{11}{72}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) Ta có: \(\dfrac{-5}{7}\left(\dfrac{14}{5}-\dfrac{7}{10}\right):\left|-\dfrac{2}{3}\right|-\dfrac{3}{4}\left(\dfrac{8}{9}+\dfrac{16}{3}\right)+\dfrac{10}{3}\left(\dfrac{1}{3}+\dfrac{1}{5}\right)\)
\(=\dfrac{-5}{7}\cdot\dfrac{3}{2}\cdot\dfrac{21}{10}-\dfrac{3}{4}\cdot\dfrac{56}{3}+\dfrac{10}{3}\cdot\dfrac{8}{15}\)
\(=\dfrac{-9}{4}-14+\dfrac{16}{9}\)
\(=\dfrac{-1621}{126}\)
b) Ta có: \(\dfrac{17}{-26}\cdot\left(\dfrac{1}{6}-\dfrac{5}{3}\right):\dfrac{17}{13}-\dfrac{20}{3}\left(\dfrac{2}{5}-\dfrac{1}{4}\right)+\dfrac{2}{3}\left(\dfrac{6}{5}-\dfrac{9}{2}\right)\)
\(=\dfrac{-17}{26}\cdot\dfrac{13}{17}\cdot\dfrac{-3}{2}-\dfrac{20}{3}\cdot\dfrac{3}{20}+\dfrac{2}{3}\cdot\dfrac{-33}{10}\)
\(=\dfrac{3}{4}-1-\dfrac{11}{5}\)
\(=-\dfrac{49}{20}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
- \(\dfrac{5}{7}\) - (-\(\dfrac{5}{67}\)) + \(\dfrac{13}{10}\) + \(\dfrac{1}{2}\) + (- 1\(\dfrac{5}{6}\)) + 1\(\dfrac{3}{14}\) - (-\(\dfrac{2}{5}\))
= (- \(\dfrac{5}{7}\) + 1\(\dfrac{3}{14}\)+ \(\dfrac{1}{2}\))+ \(\dfrac{5}{67}\) - \(\dfrac{11}{6}\) + (\(\dfrac{13}{10}\) + \(\dfrac{2}{5}\))
= (-\(\dfrac{10}{14}\) + \(\dfrac{17}{14}\)+ \(\dfrac{1}{2}\)) + \(\dfrac{5}{67}\) - \(\dfrac{11}{6}\) + (\(\dfrac{13}{10}\) + \(\dfrac{4}{10}\))
= (\(\dfrac{1}{2}\) + \(\dfrac{1}{2}\)) + \(\dfrac{5}{67}\) - \(\dfrac{11}{6}\)+ \(\dfrac{17}{10}\)
= 1 + \(\dfrac{5}{67}\) - \(\dfrac{11}{6}\) + \(\dfrac{17}{10}\)
= \(\dfrac{2010}{2010}\) + \(\dfrac{150}{2010}\) - \(\dfrac{3685}{2010}\) + \(\dfrac{3417}{2010}\)
= \(\dfrac{1892}{2010}\)
= \(\dfrac{946}{1005}\)