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=13/12x14/13x15/14x16/15x...x2006/2005x2007/2006x2008/2007
=2008/12
=502/3
A = 1\(\dfrac{1}{12}\) \(\times\) 1\(\dfrac{1}{13}\) \(\times\) 1\(\dfrac{1}{14}\) \(\times\) 1\(\dfrac{1}{15}\) \(\times\) ... \(\times\) 1\(\dfrac{1}{2005}\) \(\times\) 1\(\dfrac{1}{2006}\) \(\times\) 1\(\dfrac{1}{2007}\)
A = ( 1 + \(\dfrac{1}{12}\)) \(\times\) ( 1 + \(\dfrac{1}{13}\)) \(\times\) ( 1 + \(\dfrac{1}{14}\)) \(\times\)...\(\times\) ( 1 + \(\dfrac{1}{2006}\))\(\times\)(1+\(\dfrac{1}{2007}\))
A = \(\dfrac{13}{12}\) \(\times\) \(\dfrac{14}{13}\) \(\times\) \(\dfrac{15}{14}\) \(\times\) ...\(\times\) \(\dfrac{2007}{2006}\) \(\times\) \(\dfrac{2008}{2007}\)
A = \(\dfrac{13\times14\times15\times...\times2007}{13\times14\times15\times...\times2007}\) \(\times\) \(\dfrac{2008}{12}\)
A = 1 \(\times\) \(\dfrac{502}{3}\)
A = \(\dfrac{502}{3}\)
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\(\frac{4}{27}\cdot\frac{9}{2}+\frac{7}{15}=\frac{2}{3}+\frac{7}{15}=\frac{17}{15}\)
( \(\cdot\)là dấu nhân đó)
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\(0,9\times6+0,9\times6\times15+3,6=0,9\times\left(6+5\times15\right)+3,6=0,9\times10\)\(=90+3,6=93,6\)
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\(\dfrac{4}{15}.\dfrac{15}{2}=\dfrac{4.15}{15.2}=\dfrac{60}{30}=2\)
\(\dfrac{4}{15}\)\(\times\) \(\dfrac{15}{2}\) \(=\) \(\dfrac{4\times15}{15\times2}\) \(=\) \(\dfrac{60}{30}\) \(=\) \(2\)