Question

KB?

\(\frac{1}{6}\)+\(\frac{2}{15}\)+\(\frac{3}{40}\)+\(\frac{4}{96}\)+\(\frac{5}{204}\)

Answer 1

mn đừng trả lời nhé

Answer 2

tại sao không

Answer 3

\(\frac{1}{6}\)+\(\frac{2}{15}\)+\(\frac{3}{40}\)+\(\frac{4}{96}\)\(\frac{5}{204}\)

=\(\frac{1}{2x3}\)+\(\frac{2}{3x5}\)+\(\frac{3}{5x8}\)+\(\frac{4}{8x12}\)\(\frac{5}{12x17}\)

=\(\frac{1}{2}\)-\(\frac{1}{3}\)+\(\frac{1}{3}\)-\(\frac{1}{5}\)+\(\frac{1}{5}\)-\(\frac{1}{8}\)+\(\frac{1}{8}\)-\(\frac{1}{12}\)+\(\frac{1}{12}\)-\(\frac{1}{17}\)

=\(\frac{1}{2}\)+(\(\frac{1}{3}\)-\(\frac{1}{3}\))+(\(\frac{1}{5}\)-\(\frac{1}{5}\))+(\(\frac{1}{8}\)-\(\frac{1}{8}\))+(\(\frac{1}{12}\)-\(\frac{1}{12}\))-\(\frac{1}{17}\)

=\(\frac{1}{2}\)-\(\frac{1}{17}\)

=\(\frac{15}{34}\)

mn ủng hộ nhé