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a: \(=\left|6\cdot\dfrac{5}{3}-\dfrac{7}{6}\cdot\dfrac{6}{7}\right|:\left|\dfrac{21}{5}\cdot\dfrac{10}{11}+5+\dfrac{2}{11}\right|\)
\(=\left|10-1\right|:\left|\dfrac{42}{11}+\dfrac{2}{11}+5\right|\)
\(=9:9=1\)
b: \(=\dfrac{1}{2}\cdot\dfrac{2}{3}\cdot\dfrac{3}{4}\cdot...\cdot\dfrac{2002}{2003}\cdot\dfrac{2003}{2004}=\dfrac{1}{2004}\)
c: \(=\dfrac{59}{10}\cdot\dfrac{2}{3}-\left|\dfrac{7}{3}\cdot\dfrac{9}{2}-2\cdot\dfrac{7}{3}\right|\cdot\dfrac{4}{7}\)
\(=\dfrac{59}{15}-\dfrac{7}{3}\cdot\dfrac{5}{2}\cdot\dfrac{4}{7}\)
\(=\dfrac{59}{15}-\dfrac{10}{3}=\dfrac{59-50}{15}=\dfrac{9}{15}=\dfrac{3}{5}\)
2/3+1/3.(-4/9+5/6):7/12
=2/3+1/3.(-8/18+15/18):7/12
=2/3+1/3.7/18:7/12
=2/3+7/54:7/12
=2/3+7/54.12/7
=2/3+2/9
=6/9+2/9
=8/9