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a: =-5/11-6/11+1=-11/11+1=0
b: =-13/17-13/21-4/17=-1-13/21=-34/21
b: \(=-\dfrac{5}{12}\cdot\dfrac{9}{20}\cdot\dfrac{7}{17}=\dfrac{-21}{272}\)
d: \(=\dfrac{13}{17}\left(-\dfrac{4}{5}-\dfrac{3}{4}\right)=\dfrac{13}{17}\cdot\dfrac{-31}{20}=\dfrac{-403}{340}\)
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; \(\dfrac{-5}{21}\) - \(\dfrac{25}{21}\) - \(\dfrac{-1}{21}\)
= \(\dfrac{-5}{21}\) - \(\dfrac{25}{21}\) + \(\dfrac{1}{21}\)
= \(\dfrac{-5-25+1}{21}\)
= \(\dfrac{-29}{21}\)
\(\dfrac{8}{21}-\dfrac{5}{11}-\left(-\dfrac{13}{21}\right)-\dfrac{6}{11}\)
\(=\dfrac{8}{21}-\dfrac{5}{11}+\dfrac{13}{21}-\dfrac{6}{11}\)
\(=\left(\dfrac{8}{21}+\dfrac{13}{21}\right)+\left(-\dfrac{5}{11}-\dfrac{6}{11}\right)\)
\(=1+\left(-1\right)=0\)
\(\dfrac{8}{21}-\dfrac{5}{11}-\left(-\dfrac{13}{21}\right)-\dfrac{6}{11}\)
\(=\dfrac{8}{21}-\dfrac{5}{11}+\dfrac{13}{21}-\dfrac{6}{11}\)
\(=\left(\dfrac{8}{21}+\dfrac{13}{21}\right)+\left(-\dfrac{5}{11}-\dfrac{6}{11}\right)\)
\(=\dfrac{21}{21}-\dfrac{11}{11}\)
\(=1-1=0\)