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a)A=3\(\dfrac{1}{11}\) x \(\dfrac{27}{46}\) x 1\(\dfrac{6}{17}\) x 2\(\dfrac{4}{9}\)
A=\(\dfrac{34}{11}\) x \(\dfrac{27}{46}\) x \(\dfrac{23}{17}\) x \(\dfrac{22}{9}\)
A=\(\dfrac{34\times27\times23\times22}{11\times46\times17\times9}\)
A=\(\dfrac{2\times3}{1}\)
A=6
mk cảm ơn bạn nhìu nha . bk có thể giải cho mk câu B đc ko
\(\frac{2004.2005+2006.6-6}{2005.197+4.2005}\)= \(\frac{2004.2005+\left(2006-1\right).6}{2005.\left(197+4\right)}\)= \(\frac{2004.2005+2005.6}{2005.201}\)= \(\frac{\left(2004+6\right).2005}{2005.201}\)
= \(\frac{2010}{201}\)= \(10\)
a) Vì A=\(\dfrac{15^{16}+1}{15^{17}+1}\) < 1
\(\Rightarrow\dfrac{15^{16}+1}{15^{17}+1}< \dfrac{15^{16}+1+14}{15^{17}+1+14}=\dfrac{15^{16}+15}{15^{17}+15}\) \(=\dfrac{15\left(15^{15}+1\right)}{15\left(15^{16}+1\right)}\) \(=\dfrac{15^{15}+1}{15^{16}+1}\)
Vậy A<B
b) A=\(\dfrac{2006^{2007}+1}{2006^{2006}+1}>1\)
\(\Rightarrow\dfrac{2006^{2007}+1+2005}{2006^{2006}+1+2005}\)
= \(\dfrac{2006^{2007}+2006}{2006^{2006}+2006}\)
= \(\dfrac{2006\left(2006^{2006}+1\right)}{2006\left(2006^{2005}+1\right)}\)
= \(\dfrac{2006^{2006+1}}{2006^{2005}+1}\)
Vậy A>B
Đặt \(A=\dfrac{2003.2004-1}{2003.2004}\) và \(B=\dfrac{2004.2005-1}{2004.2005}\)
Ta có : \(A=\dfrac{2003.2004-1}{2003.2004}=\dfrac{2003.2004}{2003.2004}-\dfrac{1}{2003.2004}\)
\(=1-\dfrac{1}{2003.2004}\)
\(B=\dfrac{2004.2005-1}{2004.2005}=\dfrac{2004.2005}{2004.2005}-\dfrac{1}{2004.2005}\)
\(=1-\dfrac{1}{2004.2005}\)
Vì \(\dfrac{1}{2003.2004}>\dfrac{1}{2004.2005}\Rightarrow1-\dfrac{1}{2003.2004}< 1-\dfrac{1}{2004.2005}\)
Nên \(A< B\)
Vậy \(\dfrac{2003.2004-1}{2003.2004}< \dfrac{2004.2005-1}{2004.2005}\)
~ Học tốt ~
\(\dfrac{2006\times2005-1}{2004\times2006+2005}=\dfrac{2006\times\left(2004+1\right)-1}{2004\times2006+2005}\)
\(=\dfrac{2004\times2006+2006-1}{2004\times2006+2005}=\dfrac{2004\times2006+2005}{2004\times2006+2005}\)
\(=1\)
\(18\times\left(\dfrac{19191919+88888}{21212121+99999}\right)=18\times\left(\dfrac{19}{21}+\dfrac{8}{9}\right)\)
\(=18\times\dfrac{113}{63}=\dfrac{226}{7}=32\dfrac{2}{7}\)
\(\frac{2006.125+1000}{126.2005-888}=\frac{250750+1000}{252630-888}=\frac{125875}{125871}\)
Ta có :
Tử số :
( 2005 + 1 ) . 125 + 1000
2005 . 125 + 125 + 1000
2005 . 125 +1125
Mẫu Số :
( 125 + 1 ) . 2005 - 888
125 . 2005 + 2005 - 888
125 . 2005 + 1117
Ta có phân số : \(\dfrac{2005\cdot125+1125}{125\cdot2005+1117}\) = \(\dfrac{1125}{1117}\)