e tách câu hỏi ra nhe tạm thời cj giúp mụt câu nhe
a: \(=\dfrac{-5}{7}\left(\dfrac{2}{11}+\dfrac{9}{11}\right)+1+\dfrac{5}{7}=\dfrac{-5}{7}+1+\dfrac{5}{7}=1\)
b: \(=\dfrac{6}{7}+\dfrac{1}{8}-\dfrac{3}{16}\cdot4=\dfrac{6}{7}+\dfrac{1}{8}-\dfrac{3}{4}=\dfrac{13}{56}\)
c: \(=\dfrac{2}{3}+\dfrac{1}{3}\cdot\dfrac{-24+45}{54}\cdot\dfrac{12}{7}\)
\(=\dfrac{2}{3}+\dfrac{1}{3}\cdot\dfrac{21}{54}\cdot\dfrac{12}{7}=\dfrac{2}{3}+\dfrac{2}{9}=\dfrac{6+2}{9}=\dfrac{8}{9}\)
d: \(=\dfrac{1}{3}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{11}+...+\dfrac{1}{107}-\dfrac{1}{111}\)
\(=\dfrac{1}{3}-\dfrac{1}{111}=\dfrac{108}{333}=\dfrac{12}{37}\)
a, \(\dfrac{4}{3.7}+\dfrac{4}{7.11}+\dfrac{4}{11.15}+.....+\dfrac{4}{107.111}\)
\(=\dfrac{4}{3}-\dfrac{4}{7}+\dfrac{4}{7}-\dfrac{4}{11}+.....+\dfrac{4}{107}-\dfrac{4}{111}\)
\(=\dfrac{4}{3}-\dfrac{4}{111}=\dfrac{48}{37}\)