Bài 1:
a) \(\left(1\dfrac{1}{2}\right).\left(1\dfrac{1}{3}\right).....\left(1\dfrac{1}{100}\right)\)
b) \(1\dfrac{1}{2}.1\dfrac{1}{3}.1\dfrac{1}{4}.....1\dfrac{1}{2007}\)
c) \(\left(1\dfrac{1}{2}\right).\left(1\dfrac{1}{3}\right)...\left(1\dfrac{1}{2017}\right)\)
Giúp mik nha chìu mik đi hx rùi ai làm đúng mik tick nhen :))
a) \(\left(1\dfrac{1}{2}\right)\left(1\dfrac{1}{3}\right)..............\left(1\dfrac{1}{100}\right)\)
\(=\dfrac{3}{2}.\dfrac{4}{3}....................\dfrac{101}{100}\)
\(=\dfrac{1}{2}.\dfrac{101}{1}=\dfrac{101}{2}\)
b) \(1\dfrac{1}{2}.1\dfrac{1}{3}.1\dfrac{1}{4}...................1\dfrac{1}{2007}\)
\(=\dfrac{3}{2}.\dfrac{4}{3}.\dfrac{5}{4}....................\dfrac{2008}{2007}\)
\(=\dfrac{1}{2}.\dfrac{2008}{1}=1004\)
c) \(1\dfrac{1}{2}.1\dfrac{1}{3}.....................1\dfrac{1}{2017}\)
\(=\dfrac{3}{2}.\dfrac{4}{3}..................\dfrac{2018}{2017}\)
\(=\dfrac{1}{2}.\dfrac{2018}{1}=1009\)
