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a) \(\frac{2005.2007-1}{2004+2005.2006}=\frac{\left(2014+1\right).2007-1}{2004+2005.2006}=\frac{2004+2005.2007-1}{2004+2005-2006}=\frac{2004+2005.2006}{2004+2005.2006}=1\)
1)
\(\frac{1}{2003}\times\left(1-\frac{1}{2004}\right)\times\left(1-\frac{1}{2005}\right)\times\left(1-\frac{1}{2006}\right)\)
\(=\frac{1}{2003}\times\frac{2003}{2004}\times\frac{2004}{2005}\times\frac{2005}{2006}\)
\(=\frac{1\times2003\times2004\times2005}{2003\times2004\times2005\times2006}\)
\(=\frac{1}{2006}\)
Ta có:\(\frac{1}{2003}\times\left(1-\frac{1}{2004}\right)\times\left(1-\frac{1}{2005}\right)\left(1-\frac{1}{2006}\right)\)
\(=\frac{1}{2003}.\frac{2003}{2004}.\frac{2004}{2005}.\frac{2005}{2006}\)
\(=\frac{1}{2006}\)
a) 2005*2007-1 b)2003*2004+2005*10+1994
2004+2005*2006 2005*2004-2003*2004
c) ( 5+3/8+18+1/2-7-5/24 )
c) 5 + \(\frac{3}{8}\)+18 + \(\frac{1}{2}\) - 7 - \(\frac{5}{24}\)
=\(\frac{43}{8}\)+ \(\frac{35}{2}\) +\(\frac{163}{24}\)
=\(\frac{129}{24}\)+ \(\frac{420}{24}\)+\(\frac{163}{24}\)
= \(\frac{58}{51}\)
k nhé
\(A=\frac{2002}{2001}+\frac{2003}{2002}+\frac{2004}{2003}+\frac{2005}{2004}+\frac{2006}{2005}+\frac{2007}{2006}+\frac{2008}{2007}+\frac{2009}{2008}>\frac{2001}{2001}+\frac{2002}{2002}+\frac{2003}{2003}+\frac{2004}{2004}+\frac{2005}{2005}+\frac{2006}{2006}+\frac{2007}{2007}+\frac{2008}{2008}\)
\(A=\frac{2002}{2001}+\frac{2003}{2002}+\frac{2004}{2003}+\frac{2005}{2004}+\frac{2006}{2005}+\frac{2007}{2006}+\frac{2008}{2007}+\frac{2009}{2008}>1+1+1+1+1+1+1+1\)\(A=\frac{2002}{2001}+\frac{2003}{2002}+\frac{2004}{2003}+\frac{2005}{2004}+\frac{2006}{2005}+\frac{2007}{2006}+\frac{2008}{2007}+\frac{2009}{2008}>8\)
\(A>8\)
A, chờ tí nha
B, rút gọn phân số ta được
= 27 . \(\frac{17}{27}\)- \(\frac{37}{36}\)
= 17 - \(\frac{36}{37}\)= \(\frac{649}{36}\)
=\(\frac{2001x2004x1001x2006}{2004x2006x2001x2002}\)=\(\frac{1}{2}\)
\(=\frac{2001.2004.1001.2002}{2004.2006.2001.2002}=\frac{1.1.1001.1}{1.2006.1.1}=\frac{1001}{2006}\)
\(A=\frac{2004x2006+10}{2005x2005+9}=\frac{2004x2005+2004+10}{2004x2005+2005+9}=\frac{2004x2005+2014}{2004x2005+2014}=1\)
2004x2006+10=4020034
2005x2005+9=4020034