Question

so sánh A và B

A = \(\frac{2003}{2004}+\frac{2004}{2005}\)và B = \(\frac{2003+2004}{2004+2005}\)

Answer 1

\(B=\frac{2003+2004}{2004+2005}=\frac{2003}{2004+2005}+\frac{2004}{2004+2005}\)

Ta có: \(\frac{2003}{2004}>\frac{2003}{2004+2005}\)

          \(\frac{2004}{2005}>\frac{2004}{2004+2005}\)

\(\frac{2003}{2004}+\frac{2004}{2005}>\frac{2003+2004}{2004+2005}\)

\(A>B\)

Vậy A>B

Answer 2

đáp án là A>B

chúc bn hok tốt!

Answer 3

                                 \(\text{ Bài giải}\)

\(A=\frac{2003}{2004}+\frac{2004}{2005}=0,999500998 + 0,999501247=1.99900225\)

\(B=\frac{2003+2004}{2004+2005}=\frac{4007}{4009}=0,999501122\)

\(\text{Vì : }1,99900224>0,999501122\text{ nên }A>B\)

        \(\text{Vậy : }A>B\)

Answer 4

\(B=\frac{2003+2004}{2004+2005}=\frac{2003}{2004+2005}+\frac{2004}{2004+2005}\)

Ta có: \(\frac{2003}{2004}>\frac{2003}{2004+2005}\)

          \(\frac{2004}{2005}>\frac{2004}{2004+2005}\)

\(\Rightarrow\frac{2003}{2004}+\frac{2004}{2005}>\frac{2003}{2004+2005}+\frac{2004}{2004+2005}\)

\(\Rightarrow A>B\)

Vậy \(A>B\)

Tham khảo nhé~

Answer 5

B = \(\frac{2003+2004}{2004+2005}=\frac{2003}{2004+2005}+\frac{2004}{2004+2005}\)

mà \(\frac{2003}{2004}>\frac{2003}{2004+2005};\frac{2004}{2005}>\frac{2004}{2004+2005}\)

=> A > B 

Hc tốt

Answer 6

\(B=\frac{2003+2004}{2004+2005}=\frac{2003}{2004+2005}+\frac{2004}{2004+2005}\)

Ta có : \(\frac{2003}{2004}>\frac{2003}{2004+2005}\)

Mà \(\frac{2004}{2005}>\frac{2004}{2004+2005}\)

\(\frac{\Rightarrow2003}{2004}+\frac{2004}{2005}>\frac{2003}{2004+2005}+\frac{2004}{2004+2005}\)

\(\Rightarrow A>B\)

Answer 7

            Bài làm :

Ta có :

\(B=\frac{2003+2004}{2004+2005}=\frac{2003}{2004+2005}+\frac{2004}{2004+2005}\)

Mà :

\(\frac{2003}{2004}>\frac{2003}{2004+2005}\) \(\frac{2004}{2005}>\frac{2004}{2004+2005}\)

\(\Rightarrow\frac{2003}{2004}+\frac{2004}{2005}>\frac{2003+2004}{2004+2005}\)

\(\Rightarrow A>B\)

Vậy A>B