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\(\frac{2006}{2007}< \frac{2007}{2007}=1\)
\(\frac{2007}{2008}< \frac{2008}{2008}=1\)
\(\frac{2008}{2009}< \frac{2009}{2009}=1\)
\(\Rightarrow a=\frac{2006}{2007}+\frac{2007}{2008}+\frac{2008}{2009}< 1+1+1=3\)
\(A=\frac{2006}{2007}+\frac{2007}{2008}+\frac{2008}{2009}\)
\(A=\left(1-\frac{1}{2007}\right)+\left(1-\frac{1}{2008}\right)+\left(1-\frac{1}{2009}\right)\)
\(A=\left(1+1+1\right)-\left(\frac{1}{2007}+\frac{1}{2008}+\frac{1}{2009}\right)\)
\(A=3-\left(\frac{1}{2007}+\frac{1}{2008}+\frac{1}{2009}\right)< 3\)
1/2 x y + 1/3 x y + 1/4 x y = 11/4
y x ( 1/2 + 1/3 + 1/4 ) = 11/4
y x 13/12 = 11/4
y = 11/4 : 13/12
y = 11/4 x 12/13
y = 33/13
^^ Học tốt!
\(\frac{1}{2}\times Y+\frac{1}{3}\times Y+\frac{1}{4}\times Y=\frac{11}{4}\)
\(3Y=\frac{11}{4}\div\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}\right)\)
\(3Y=\frac{33}{13}\)
\(Y=\frac{33}{13}\div3\)
\(Y=\frac{11}{13}\)
~ Chúc bạn học tốt
=2008/2009-2009/2008+1/2009+2007/2008
=(2008/2009+1/2009)-(2009/2008-2007/2008)
=1-1/1004
=1003/1004
\(\frac{2008}{2009}-\frac{2009}{2008}+\frac{1}{2009}+\frac{2007}{2008}\)
=\(\left(\frac{2008}{2009}+\frac{1}{2009}\right)-\left(\frac{2009}{2008}-\frac{2007}{2008}\right)\)
=\(1-\frac{2}{2008}\)
=\(1-\frac{1}{1004}\)
=\(\frac{1003}{1004}\)
Chúc bn làm tốt nha!!!
Ta thấy :
\(\frac{2007}{2008}>\frac{2007}{2008+2009}\)
\(\frac{2008}{2009}>\frac{2008}{2008+2009}\)
nên : \(\frac{2007}{2008}+\frac{2008}{2009}>\frac{2007+2008}{2008+2009}\)hay M > N