Ta thấy:

A = \(\frac{20162017}{20162016}\) và     B =  \(\frac{20152016}{20152015}\)

A  =  \(\frac{20162016}{20162016}\)+  \(\frac{1}{20162016}\)  =   \(1\) +   \(\frac{1}{20162016}\)

B  =   \(\frac{20152015}{20152015}\) +   \(\frac{1}{20152015}\)=   \(1\)  +    \(\frac{1}{20152015}\)

Vì:     \(\frac{1}{20162016}\)   \(< \)       \(\frac{1}{20152015}\)

Nên:    \(A\)    \(< \)    \(B\)

~ HokT~

A>b mình  nghĩ vậy 

A=20162016/20162016 + 1/20162016=1 + 1/20162016

B=20152015/20152015 + 1/20152015=1+1/20152015

Mà 20162016>20152015-->1/20162016<1/20152015 và 1=1

=>A<B

\(\frac{20152015}{20162016}+\frac{20162016}{20162016}\)

\(=\frac{2015\times10001}{2016\times10001}+\frac{2016\times10001}{2016\times10001}\)

\(=\frac{2015}{2016}+\frac{2016}{2016}\)

\(=\frac{4031}{2016}\)

kết quả :4013 / 2016

đề sai à
 

\(\dfrac{151515}{161616}+\dfrac{1}{17}-\dfrac{1500}{1600}-\dfrac{16}{17}\)

\(=\dfrac{10101.15}{10101.16}+\dfrac{1}{17}-\dfrac{15.100}{16.100}-\dfrac{16}{17}\)

\(=\dfrac{15}{16}+\dfrac{1}{17}-\dfrac{15}{16}-\dfrac{16}{17}=\dfrac{-15}{17}\)

ai giải được mk k cho nhoa mọi người@@@

Ta có: \(A=2015\cdot10001\cdot2016\cdot100010001=2015\cdot2016\cdot10001\cdot100010001\)

          \(B=2016\cdot10001\cdot2015\cdot100010001=2015\cdot2016\cdot10001\cdot100010001\)

\(\Rightarrow A=B\)(Dấu . là nhân)

\(\left(\frac{151515}{161616}+\frac{17^9}{17^{10}}\right)-\left(\frac{1500}{1600}-\frac{1616}{1717}\right)\)

\(=\left(\frac{15}{16}+\frac{1}{17}\right)-\left(\frac{15}{16}-\frac{16}{17}\right)\)

\(=\frac{15}{16}+\frac{1}{17}-\frac{15}{16}+\frac{16}{17}\)

\(=\left(\frac{15}{16}-\frac{15}{16}\right)+\left(\frac{1}{17}+\frac{16}{17}\right)\)

\(=\frac{15-15}{16}+\frac{1+16}{17}\)

\(=0+\frac{17}{17}\)

\(=0+1\)

\(=1\)

thank

=\(\left(\frac{15}{16}+\frac{1}{17^5}\right)+\left(\frac{16}{17}-\frac{15}{16}\right)\)

=\(\frac{1}{17^5}+\frac{16}{17}=\frac{1+16.17^4}{17^5}\)

đáp số là số thập phân vô hạn không tuần hoàn