Question

tính

3/17 + -5/13 + -18/35 + 14/17 + 17/-35 + -8/13

Answer 1

\(\frac{3}{17}+\frac{-5}{13}+\frac{-18}{35}+\frac{14}{17}+\frac{17}{-35}+\frac{-8}{13}\)

\(=\frac{3}{17}+\frac{-5}{13}+\frac{-18}{35}+\frac{14}{17}+\frac{-17}{35}+\frac{-8}{13}\)

\(=\left(\frac{3}{17}+\frac{14}{17}\right)+\left(\frac{-5}{13}+\frac{-8}{13}\right)+\left(\frac{-18}{35}+\frac{-17}{35}\right)\)

\(=\frac{17}{17}+\frac{-13}{13}+\frac{-35}{35}\)

\(=1+\left(-1\right)+\left(-1\right)\)

\(=-1\)

Answer 2

\(\frac{3}{17}+\frac{-5}{13}+\frac{-18}{35}+\frac{14}{17}+\frac{17}{-35}+\frac{-8}{13}\)

= \(\frac{3}{17}+\frac{-5}{13}+\frac{-18}{35}+\frac{14}{17}+\frac{-17}{35}+\frac{-8}{13}\)

= \(\left(\frac{3}{17}+\frac{14}{17}\right)+\left(\frac{-5}{13}+\frac{-8}{13}\right)+\frac{-18}{35}\)

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

= 0+\(\frac{-18}{35}\)

= \(\frac{-18}{35}\)

Answer 3

\(\frac{3}{17}-\frac{5}{13}-\frac{18}{35}+\frac{14}{17}-\frac{17}{35}-\frac{8}{13}=\left(\frac{3}{17}+\frac{14}{17}\right)-\left(\frac{5}{13}+\frac{8}{13}\right)-\left(\frac{18}{35}+\frac{17}{35}\right)\)

\(=1-1-1\)

=-1

Answer 4

\(\frac{3}{17}+\frac{-5}{13}+\frac{-18}{35}+\frac{14}{17}+\frac{17}{-35}+\frac{-8}{13}\)

\(\left(\frac{3}{17}+\frac{14}{17}\right)+\left(\frac{-18}{35}+\frac{-17}{35}\right)+\left(\frac{-5}{13}+\frac{-8}{13}\right)\)

\(\frac{17}{17}+\frac{-35}{35}+\frac{-13}{13}\)

\(1+\left(-1\right)+\left(-1\right)\)

\(0+\left(-1\right)\)

\(-1\)