Vì \(2012\times2013< 2012\times2013+1\)và \(2013>2012\)

\(\Rightarrow\)\(\frac{2012\times2013}{2012\times2013+1}< 1< \frac{2013}{2012}\)

\(\Rightarrow\)\(\frac{2012\times2013}{2012\times2013+1}< \frac{2013}{2012}\)

\(\Rightarrow\)\(A< B\)

Vậy \(A< B\)

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ta có : \(\frac{2012\times2013}{2012\times2013}\)có giá trị = 1.nên A có giá trị bằng 2

ta thấy : B = 1,000497018 => A > B

nhớ k nhá

A=200,6*2,008=402,8048

B=20,07*20,07=402,8049

=)A<B

tk mình nha

\(A=\frac{54\times17-44}{54\times16+10}\)

\(=\frac{54\times16+54-44}{54\times16+10}\)

\(=\frac{54\times16+10}{54\times16+10}=1\)

\(B=\frac{55\times19-45}{55\times18+9}=\frac{55\times18+55-45}{55\times18+9}\)

\(=\frac{55\times18+9+1}{55\times18+9}=1+\frac{1}{55\times18+9}>1\)

=>B>A

Câu a:

A = \(\overline{a,b5}\) + \(\overline{b,27}\)

A = (\(\overline{a,05}\) + 0,27) + ( \(\overline{0,b0}\) + \(\overline{b,0}\) )

A = \(\overline{a,32}\) + \(\overline{b,b}\)

B = \(\overline{a,24}\) + \(\overline{b,b7}\)

B = (\(\overline{a,24}\) + 0,07) + \(\overline{b,b}\)

B = \(\overline{a,31}\) + \(\overline{b,b}\) < \(\overline{a,21}+\overline{b,b}\)

B < A

\(A=\dfrac{1}{1\cdot2}+\dfrac{1}{2\cdot3}+...+\dfrac{1}{49\cdot50}\)

\(=1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+...+\dfrac{1}{49}-\dfrac{1}{50}\)

\(=\dfrac{49}{50}< 1\)

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