tính:
B=\(\frac{\frac{7}{2012}+\frac{7}{9}-\frac{1}{4}}{\frac{5}{9}-\frac{3}{2012}-\frac{1}{2}}\)
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\(\frac{\frac{7}{2012}+\frac{7}{9}+\frac{1}{4}}{\frac{5}{9}-\frac{3}{2012}-\frac{1}{2}}=\left(\frac{7}{2012}+\frac{7}{9}+\frac{1}{4}\right):\left(\frac{5}{9}-\frac{3}{2012}-\frac{1}{2}\right)\)
\(=\frac{9337}{9054}:\frac{97}{18108}=\frac{9337}{9054}.\frac{18108}{97}=\frac{18674}{97}\)
\(=\left(\frac{7}{2012}+\frac{7}{9}-1\right):\left(\frac{5}{9}-\frac{3}{2012}-\frac{1}{2}\right)\)
\(=\frac{-3961}{18108}:\frac{979}{18108}=\frac{-3961}{18108}\cdot\frac{18108}{979}\)
\(=\frac{-3961}{979}\)
\(VP=1+\frac{2014}{2}+\frac{2015}{3}+...+\frac{4023}{2011}+\frac{4024}{2012}\)
\(=1-1+\left(\frac{2014}{2}-1\right)+\left(\frac{2015}{3}-1\right)+...+\left(\frac{4023}{2011}-1\right)+\left(\frac{40024}{2012}-1\right)+2012\)
\(=\frac{2012}{2}+\frac{2012}{3}+...+\frac{2012}{2011}+\frac{2012}{2012}+\frac{2012}{1}\)
\(=2012.\left(1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2011}+\frac{1}{2012}\right)\)
\(\Rightarrow2012=503.x\Rightarrow x=\frac{2012}{503}=4\)
9620/979