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Ta có:

10A=10¹⁶+10/10¹⁶+1=1+​​(9/10¹⁶+1)

10B=10¹⁷+10/10¹⁷+1=1+(9/10¹⁷+1)

Vì 9/10¹⁶+1 > 9/10¹⁷+1 nên 10A>10B,do đó A>B

Ta có:

10A=10^16+10/10^16+1=1+﴾9/10^16+1﴿

10B=10^17+10/10^17+1=1+﴾9/10^17+1﴿

Vì 9/10^16+1 > 9/10^17+1 nên 10A>10B,do đó A>B 

Ta có:

10A= 10^16+10  / 10^16+1

       =1+ 9 / 10^16 + 1

10B= 10^17+10 / 10^17+1

       =1+ 9 / 10^17 + 1

Vì 9 / 10^16 + 1 > 9 / 10^17 + 1 nên 10A>10B

Do đó A > B

Ta có :

\(A=\frac{10^{15}+1}{10^{16}+1}=\frac{\left(10^{15}+1\right).10}{\left(10^{16}+1\right).10}=\frac{10^{16}+10}{10^{17}+10}\)

\(\Rightarrow A=\frac{10^{16}+1+9}{10^{17}+1+9}\)

Vì \(\frac{10^{16}+1}{10^{17}+1}< \frac{10^{16}+1+9}{10^{17}+1+9}\)

Mà \(A=\frac{10^{16}+1+9}{10^{17}+1+9}\)nên \(A>B\)

Vậy \(A>B\)

thank kiu bạn

A=10^15+1/10^16+1

=>10A=1+9/10^16+1

B=10^16+1/10^17+1

=>10B=1+9/10^17+1

=>10A>10B=>A>B

Vậy:A>B

Cảm ơn bạn nhé

giúp mình với mai phải nộp rồi

\(A=\frac{10^{15}+1}{10^{16}+1}\)

\(\Rightarrow10A=\frac{10^{16}+10}{10^{16}+1}=\frac{\left(10^{16}+1\right)+9}{10^{16}+1}=1+\frac{9}{10^{16}+1}\)

\(A=\frac{10^{16}+1}{10^{17}+1}\)

\(\Rightarrow10B=\frac{10^{17}+10}{10^{17}+1}=\frac{\left(10^{17}+1\right)+9}{10^{17}+1}=1+\frac{9}{10^{17}+1}\)

Vì \(\frac{9}{10^{16}+1}>\frac{9}{10^{17}+1}\left(Do10^{16}+1< 10^{17}+1\right)\)

\(\Rightarrow10A>10B\)

\(\Rightarrow A>B\)