Question

so sánh các số:

a.\(\frac{2009}{2010}\)và \(\frac{2010}{2011}\)

b.\(\frac{1}{3^{400}}\)và \(\frac{1}{4^{300}}\)

c.\(\frac{200}{201}\)+\(\frac{201}{202}\)và \(\frac{200+201}{201+202}\)

d.\(\frac{2008}{2008.2009}\)và \(\frac{2009}{2009.2010}\)

Answer 1

nghịch đảo 2 phân số ta có:   \(\frac{2010}{2009}v\text{à}\frac{2011}{2010}\)

 phân tích ra ta có:\(\frac{2010}{2009}=1+\frac{1}{2009}\)

                            \(\frac{2011}{2010}=1+\frac{1}{2010}\)

Vì \(\frac{1}{2009}>\frac{1}{2010}\)

nên \(\frac{2009}{2010}

Answer 2

a/ Do : 2009/2010 > 2009/2011, 2009/2011 < 2010/2011 nên 2009/2010 < 2010/2011