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\(\left(1-\frac{1}{3}\right)x\left(1-\frac{1}{4}\right)x...x\left(1-\frac{1}{2014}\right)\)
A = \(\frac{2}{3}x\frac{3}{4}x\frac{4}{5}x...x\frac{2012}{2013}x\frac{2013}{2014}\)
A = \(\frac{2x3x4x...x2012x2013}{3x4x5x...x2013x2014}\)
a = \(\frac{2}{2014}=\frac{1}{1007}\)
\(=\frac{6}{5}\times\frac{7}{6}\times...\times\frac{11}{10}\)(lại lỗi đề)
\(=\frac{6×7×...×11}{5×6×...×10}\)
\(=\frac{11}{5}\)
\(1\frac{1}{5}\cdot1\frac{1}{6}\cdot1\frac{1}{7}\cdot1\frac{1}{8}\cdot1\frac{1}{9}\cdot1\frac{1}{10}\)
\(=\frac{6}{5}\cdot\frac{7}{6}\cdot\frac{8}{7}\cdot\frac{9}{8}\cdot\frac{10}{9}\cdot\frac{11}{10}\)
\(=\frac{6\cdot7\cdot8\cdot9\cdot10\cdot11}{5\cdot6\cdot7\cdot8\cdot9\cdot10}\)
\(=\frac{11}{5}\)
Bài 2 :
\(\frac{2008}{2009}+\frac{2009}{2010}+\frac{2010}{2011}+\frac{2011}{2008}\)và 4
TL
12 : 1,25 : 8
= 12 : (1,25 x 8 )
= 12 : 10
=1,2
HT
Học tốt nha bạn^^
12 : 1,25 : 8
= 12 : (1,25 x 8 )
= 12 : 10
=1,2
tích cho tui nhé
\(\dfrac{2011\times2022+2023\times11+2011}{2021\times2022-2022\times2020}\)
\(=\dfrac{2011\times\left(2022+1\right)+2023\times11}{2022\times\left(2021-2020\right)}\)
\(=\dfrac{2011\times2023+2023\times11}{2022\times1}\)
\(=\dfrac{2023\times\left(2011+11\right)}{2022}=\dfrac{2023\times2022}{2022}=2023\)
\(\dfrac{2011\times2022+2023\times11+2011}{2021\times2022-2022\times2020}\)
\(=\dfrac{2011\times\left(2022+1\right)+2023\times11}{2022\times\left(2021-2020\right)}\)
\(=\dfrac{2011\times2023+2023\times11}{2022}\)
\(=\dfrac{2023\times\left(2011+11\right)}{2022}\)
\(=\dfrac{2023\times2022}{2022}=2023\)