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\(-\dfrac{3}{13}-\dfrac{7}{17}+\left(-\dfrac{5}{19}\right)+\left(-\dfrac{10}{13}\right)+\dfrac{24}{17}-\dfrac{4}{19}\)
\(=\left(-\dfrac{3}{13}-\dfrac{10}{13}\right)-\left(\dfrac{7}{17}-\dfrac{24}{17}\right)+\left(-\dfrac{5}{19}-\dfrac{4}{19}\right)\)
\(=-\dfrac{13}{13}-\left(-\dfrac{17}{17}\right)+-\dfrac{9}{19}\)
\(=-1+1+-\dfrac{9}{19}=-\dfrac{9}{19}\)
\(\dfrac{-3}{13}-\dfrac{7}{17}+\left(\dfrac{-5}{19}\right)+\left(\dfrac{-10}{13}\right)+\dfrac{24}{17}-\dfrac{4}{19}\)
=\(\left(\dfrac{-3}{13}+\dfrac{-10}{13}\right)+\left(\dfrac{-7}{17}+\dfrac{24}{17}\right)+\left(\dfrac{-5}{19}-\dfrac{4}{19}\right)\)
=-1+1+\(\dfrac{-9}{19}\)
=0+\(\dfrac{-9}{19}\) =\(\dfrac{-9}{19}\)

\(\dfrac{4}{5}\)+\(\dfrac{-5}{4}\)=\(\dfrac{0}{4}\)
\(\dfrac{-1}{3}\)+\(\dfrac{2}{5}-\dfrac{5}{6}\)=\(\dfrac{-10}{30}+\dfrac{12}{30}-\dfrac{25}{30}\)=\(\dfrac{-23}{30}\)
\(\dfrac{2}{3}-\dfrac{5}{7}.\dfrac{14}{25}\)=\(\dfrac{2}{3}-\dfrac{2}{5}\)=\(\dfrac{10}{15}-\dfrac{6}{15}\)=\(\dfrac{4}{15}\)

ta có;
b=8/3.2/5.3/8.10.19/92
b=16/15.3/8.10.19/92
b=2/5.10.19/92
b=4.19/92
b=19/23
c=-5/7.2/7+-5/7 . 9/14+1/5/7
c=-10/49+(-45)/98+1/5/5
c=131/98

1+2+3+4+5+6+7+8+9+10=55
11+12+13+14+15+16+17+18+19+20=155
1+2+3+4+5+6+7+8+9+10+11+12+13+14 +15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30-50-53=362

b) \(\frac{12}{19}.\frac{7}{15}.\frac{-13}{17}.\frac{19}{12}.\frac{17}{13}=\frac{12}{19}.\frac{19}{12}.\frac{-13}{17}.\frac{17}{13}.\frac{7}{15}=1.\left(-1\right).\frac{7}{15}=\frac{-7}{15}\)
\(-\frac{5}{7}.\frac{2}{11}+-\frac{5}{7}.\frac{9}{14}+\frac{12}{7}=-\frac{5}{7}.\left(\frac{2}{11}+\frac{9}{14}\right)+\frac{12}{7}=-\frac{5}{7}.\frac{127}{154}+\frac{12}{7}=-\frac{635}{1078}+\frac{12}{7}=\frac{1213}{1078}\)
\(\frac{12}{19}.\frac{7}{15}.-\frac{13}{17}.\frac{19}{12}.\frac{17}{13}=\left(\frac{12}{19}.\frac{19}{12}\right).\left(-\frac{13}{17}.\frac{17}{13}\right).\frac{7}{15}=1.-1.\frac{7}{15}=-\frac{7}{15}\)

a; \(\dfrac{9}{4}\) - \(\dfrac{-11}{4}\)
= \(\dfrac{9}{4}\) + \(\dfrac{11}{4}\)
= \(\dfrac{20}{4}\)
= 5
b; \(\dfrac{7}{8}\) - \(\dfrac{3}{-8}\) - \(\dfrac{1}{8}\)
= \(\dfrac{7}{8}\) + \(\dfrac{3}{8}\) - \(\dfrac{1}{8}\)
= \(\dfrac{7+3-1}{8}\)
= \(\dfrac{9}{8}\)
c; \(\dfrac{-5}{21}\) - \(\dfrac{25}{21}\) - \(\dfrac{-1}{21}\)
= \(\dfrac{-5}{21}\) - \(\dfrac{25}{21}\) + \(\dfrac{1}{21}\)
= \(\dfrac{-5-25+1}{21}\)
= \(\dfrac{-29}{21}\)
−133−177−195−1310+1724−1917 \(= \left(\right. - \frac{3}{13} - \frac{10}{13} \left.\right) + \left(\right. - \frac{7}{17} + \frac{24}{17} \left.\right) + \left(\right. - \frac{5}{19} - \frac{17}{19} \left.\right)\) \(= - \frac{13}{13} + \frac{17}{17} - \frac{22}{19}\) \(= - 1 + 1 - \frac{22}{19}\) \(= - \frac{22}{19}\)
\(\left(-\dfrac{3}{13}\right)+\left(-\dfrac{7}{17}\right)+\left(-\dfrac{5}{19}\right)+\left(-\dfrac{10}{13}\right)+\dfrac{24}{17}+\left(-\dfrac{14}{19}\right)\\ =\left[\left(-\dfrac{3}{13}\right)+\left(-\dfrac{10}{13}\right)\right]+\left[\left(-\dfrac{7}{17}\right)+\dfrac{24}{17}\right]+\left[\left(-\dfrac{5}{19}\right)+\left(-\dfrac{14}{19}\right)\right]\\ =\left(-1\right)+1+\left(-1\right)=-1\)