\(\frac{1005}{1006}+\frac{1006}{1007}+\frac{1007}{1008}+\frac{1008}{1005}>4\)
Chứng tỏ A=1005/1006+1006/1007+1007/1008+1008/1005
Tính \(\frac{A}{B}\) biết :
A = \(1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{2007}-\frac{1}{2008}\)
B = \(\frac{1}{1005}+\frac{1}{1006}+\frac{1}{1007}+...+\frac{1}{2007}+\frac{1}{2008}\)
Giúp mình nhé
1) Cho n thuộc N; Chứng tỏ: A= \(\frac{14n+3}{21n+5}\) là phân số tối giản
2) Tính : B = \(\frac{1010+1007+\frac{2017}{113}+\frac{2017}{117}-\frac{1010}{119}-\frac{1007}{119}}{1010+1008+\frac{2018}{113}+\frac{2018}{117}-\frac{1010}{119}-\frac{1008}{110}}\)
A=\(\frac{1003+1007+\frac{2010}{113}+\frac{2010}{117}-\frac{1003}{119}-\frac{1007}{119}}{1003+1008+\frac{2011}{113}+\frac{2011}{117}-\frac{1003}{119}-\frac{1008}{119}}\)
Tính B = \(\frac{1010+1007+\frac{2017}{113}+\frac{2017}{117}-\frac{1010}{119}-\frac{1007}{119}}{1010+1008+\frac{2018}{113}+\frac{2018}{117}-\frac{1010}{119}-\frac{1008}{119}}\)
\(A=1003+1007+\frac{2010}{113}+\frac{2010}{117}-\frac{1003}{119}-\frac{1007}{119}\)
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\(1003+1008+\frac{2011}{113}+\frac{2011}{117}-\frac{1003}{119}-\frac{1008}{119}\)
tính tổng M+8-9+10-11+12-13+...+1006-1007+1008-2022
Tính biểu thức :
\(A=\frac{1003+1007+\frac{2010}{113}+\frac{2010}{117}-\frac{100}{119}-\frac{1007}{119}}{1003+1008+\frac{2011}{113}+\frac{2011}{117}-\frac{1003}{119}-\frac{1008}{119}}\)
Giúp nha!!!