Question

tính giá trị biểu thức 1+3+5+...+2009/1+2+3+..+2010.giúp minh nha ^-^

Answer 1

\(\frac{1+3+5+...+2009}{1+2+3+...+2010}\)

\(=\frac{\frac{\left[\left(2009-1\right):2+1\right]\left(2009+1\right)}{2}}{\frac{\left(2010+1\right)2010}{2}}\)

\(=\frac{\frac{1005.2010}{2}}{\frac{2011.2010}{2}}\)

\(=\frac{1005.2010}{2}.\frac{2}{2011.2010}\)

\(=\frac{1005}{2011}\)