Tính giá trị biểu thức

\(1.A=\frac{1}{5}+\frac{3}{17}-\frac{4}{3}+\left(\frac{4}{5}-\frac{3}{17}+\frac{1}{3}\right)-\frac{1}{7}+\left[\frac{-14}{30}\right]\)

\(2.B=\left(\frac{5}{8}-\frac{4}{12}+\frac{3}{2}\right)-\left(\frac{5}{8}+\frac{9}{13}\right)-\left[\frac{-3}{2}\right]+\frac{7}{-15}\)

\(3.C=\frac{5}{18}+\frac{8}{19}-\frac{7}{21}+\left(\frac{-10}{36}+\frac{11}{19}+\frac{1}{3}\right)-\frac{5}{8}\)

\(4.D=\frac{1}{9}-\left[\frac{-5}{23}\right]-\left(\frac{-5}{23}+\frac{1}{9}+\frac{25}{7}\right)+\frac{50}{14}-\frac{7}{30}\)

\(5.E=\frac{1}{13}+\left(\frac{-5}{18}-\frac{1}{13}+\frac{12}{17}\right)+\left(\frac{12}{17}+\frac{5}{18}+\frac{7}{5}\right)\)

\(6.F=\frac{15}{14}-\left(\frac{17}{23}-\frac{80}{87}+\frac{5}{4}\right)+\left(\frac{12}{17}-\frac{15}{14}+\frac{1}{4}\right)\)

\(7.G=\frac{1}{25}-\frac{4}{27}+\left(\frac{-23}{27}+\frac{-1}{25}-\frac{5}{43}\right)+\frac{5}{43}-\frac{4}{7}\)

\(8.H=\frac{4}{15}-\frac{23}{28}-\left(\frac{-23}{28}+\frac{-11}{15}-\frac{29}{27}\right)-\frac{2}{27}\)

\(9.K=\frac{1}{16}-\frac{5}{21}+\left(\frac{-1}{16}+\frac{-3}{5}-\frac{-5}{21}\right)+\frac{-2}{5}+\frac{3}{4}\)

\(10.L=\frac{7}{12}+\frac{15}{14}-\left(\frac{14}{22}+\frac{-1}{14}+\frac{5}{21}\right)-\frac{-5}{21}+\frac{3}{5}\)

a) Tính nhanh \(A=\frac{1003\cdot2005-1002}{1003+2005\cdot1002}\cdot\frac{5-\frac{5}{11}+\frac{5}{7}-\frac{5}{17}+\frac{5}{2004}}{\frac{13}{2004}-\frac{13}{17}+\frac{13}{7}-\frac{13}{11}+13}\)

b) So sánh \(2002^{303}\)và \(303^{202}\); \(31^{11}\)và \(17^{14}\)

so sánh các p/s bằng cách nhanh nhất

\(\frac{7}{11}\)và \(\frac{17}{23}\)                         \(\frac{12}{48},\frac{13}{47}\)                          \(\frac{34}{43},\frac{35}{42}\)                        \(\frac{23}{48},\frac{47}{92}\)

\(\frac{12}{17}\frac{7}{15}\)                              \(\frac{1999}{2001},\frac{12}{11}\)                       \(\frac{1998}{1999},\frac{1990}{2000}\)                       \(\frac{13}{27},\frac{27}{41}\)