Thực hiện các phép tính sau bằng cách nhanh nhất
\(\dfrac{5}{11}+\dfrac{1}{2}+\dfrac{2}{5}+\dfrac{6}{11}+\dfrac{3}{4}+\dfrac{16}{25}+\dfrac{5}{16}=\)
\(\dfrac{19}{4}+\dfrac{37}{100}+\dfrac{1}{8}+\dfrac{132}{25}+\dfrac{5}{2}+\dfrac{37}{12}=\)
\(\dfrac{1313}{21}\) x \(\dfrac{165165}{143143}\) x \(\dfrac{424242}{151515}\) \(=\)
\(\dfrac{1995}{1996}\) x \(\dfrac{1996}{19931993}\) x \(\dfrac{199319931993}{199519951995}=\)
a: \(=\dfrac{5}{11}+\dfrac{6}{11}+\dfrac{1}{2}+\dfrac{3}{4}+\dfrac{5}{16}+\dfrac{2}{5}+\dfrac{16}{25}\)
\(=1+\dfrac{8+12+5}{16}+\dfrac{26}{25}\)
=51/25+25/16
=1441/400
b: \(=\dfrac{19}{4}+\dfrac{1}{8}+\dfrac{5}{2}+\dfrac{37}{100}+\dfrac{132}{25}+\dfrac{37}{12}\)
=37/12+59/8+113/20
=1933/120
c: \(=\dfrac{1313}{21}\cdot\dfrac{165}{143}\cdot\dfrac{14}{5}=\dfrac{1313}{143}\cdot\dfrac{165}{5}\cdot\dfrac{14}{21}=\dfrac{101}{11}\cdot\dfrac{165}{5}\cdot\dfrac{2}{3}\)
\(=\dfrac{15\cdot101}{5}\cdot\dfrac{2}{3}=303\cdot\dfrac{2}{3}=202\)
