Question

Tính hợp lý

-1/2+3/5+-1/9+1/127+-7/18+4/35+2/7

Answer 1

Ta có: \(\frac{-1}{2}+\frac{3}{5}+\frac{-1}{9}+\frac{1}{127}+\frac{-7}{18}+\frac{4}{35}+\frac{2}{7}\)

\(=\left(\frac{3}{5}+\frac{2}{7}+\frac{4}{35}\right)+\left(\frac{-1}{2}+\frac{-1}{9}+\frac{-7}{18}\right)+\frac{1}{127}\)

\(=\left(\frac{21}{35}+\frac{10}{35}+\frac{4}{35}\right)+\left(\frac{-9}{18}+\frac{-2}{18}+\frac{-7}{18}\right)+\frac{1}{127}\)

\(=\frac{35}{35}+\frac{-18}{18}+\frac{1}{127}\)

\(=1+\left(-1\right)+\frac{1}{127}\)

\(=\frac{1}{127}\)