Question

So sánh \(A\)và \(B\):

\(A=\frac{2009}{987654321}+\frac{2010}{246813579}\)

\(B=\frac{2010}{987654321}+\frac{2009}{246813579}\)

Ai giúp mk cho 3 tick

Answer 1

Ta có : \(\frac{2009}{987654321}< \frac{2010}{987654321}\)

\(\frac{2010}{24681357}>\frac{2009}{24681357}\)

\(\Rightarrow A=B\)

Answer 2

\(A=\frac{2009}{987654321}+\frac{2010}{246813579}\)

\(=\frac{2009}{987654321}+\frac{2009}{246813579}+\frac{1}{246813579}\)

\(B=\frac{2009}{987654321}+\frac{1}{987654321}+\frac{2009}{246813579}\)

Có \(\frac{1}{246813579}>\frac{1}{987654321}\)

Vậy A > B