1/12+1/13+1/14+...+1/22+1/22+1/22+...+1/22=11/22=1/2
=>1/12+1/13+1/14+...+1/22<1/2 (ĐPCM)
Bài 23:
a) Ta có: \(\left(\dfrac{1}{4}+\dfrac{3}{4}+\dfrac{2}{8}\right)+\left(-\dfrac{5}{13}+\dfrac{-8}{13}\right)\)
\(=\left(1+\dfrac{1}{4}\right)+\left(\dfrac{-5-8}{13}\right)\)
\(=1+\dfrac{1}{4}-1\)
\(=\dfrac{1}{4}\)