Question

Tính nhanh

\(\frac{2008.2009+4018}{2010.2011-4020}\)

Answer 1

\(\frac{2008\cdot2009+4018}{2010\cdot2011-4020}=\frac{2008\cdot2009+2009\cdot2}{2010\cdot2011-2010\cdot2}=\frac{\left(2008+2\right)\cdot2009}{2010\left(2011-2\right)}=\frac{2010\cdot2009}{2010\cdot2009}=1\)

Answer 2

b

2008.2009 + 4018 = 2008.2009 + 2.2009 0.25

= 2009.(2008+2) = 2009.2010 0.25

2010.2011-4020 = 2010.2011-2.2010 0.25

= 2010.(2011-2) = 2010.2009 0.25

⇒2008.2009 4018

2010.2011 4020

+

−

= 1