a) 27/82 < 26/75 ( 2025/6250 < 2132\6250)

b) -49/78 > 64/ -95 ( - 3136/7410 > -4992/7410)

c) ta có: \(A=\frac{54.107-53}{53.107}=\frac{53.107+(107-53)}{53.107+54}=\frac{53.107+54}{53.107+54}=1\)

\(B=\frac{135.269-133}{134.269+135}=\frac{134.269+\left(269-133\right)}{134.269+135}=\frac{134.269+136}{134.269+135}>1\)

\(\Rightarrow A< B\)

d) ta có: \(A=\frac{3^{10}+1}{3^9+1}=\frac{3.\left(3^9+1\right)-2}{3^9+1}=\frac{3.\left(3^9+1\right)}{3^9+1}-\frac{2}{3^9+1}=3-\frac{2}{3^9+1}\)

\(B=\frac{3^9+1}{3^8+1}=\frac{3.\left(3^8+1\right)-2}{3^8+1}=\frac{3.\left(3^8+1\right)}{3^8+1}-\frac{2}{3^8+1}=3-\frac{2}{3^8+1}\)

mà \(\frac{2}{3^9+1}< \frac{2}{3^8+1}\Rightarrow3-\frac{2}{3^9+1}< 3-\frac{2}{3^8+1}\)

=> A < B

Cảm ơn Công chúa Ori nhìu nha

B= 20^9+1/20^10+1

B= 20^9 +1 +19/ 20^10+1+19

B= 20^9 +20 /20^10+20

B= 20(20^8 +1) / 20(20^9+1)

B= 20^8+1 / 20^9+1 =A

=> A = B 

Vậy...

b) C= 54.107- 53/ 53.107+ 54

C= (53+1)107-53 / 53.107 +54

C=  53.107+ 1.107 - 53/ 53.107 +54

C= 53.107 + 107 -53/ 53.107 +54

C= 53.107 + 54 / 53.107 + 54

C= 1

Vậy...

\(A>B\)

cách làm

A<B . K CHO MÌNH NHA