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![](https://rs.olm.vn/images/avt/0.png?1311)
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
![](https://rs.olm.vn/images/avt/0.png?1311)
\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)A=54-53/53+54=1/107=2/214
B=135-133/134+135=2/169
tự so sánh tiếp
![](https://rs.olm.vn/images/avt/0.png?1311)
Các câu a,b,c,d,e thì bạn sử quy đồng mẫu số hoặc tử số,mình chỉ làm câu h thôi
\(\dfrac{54.107-53}{53.107+54}\)=\(\dfrac{\left(53+1\right).107-53}{53.107+54}\)=\(\dfrac{53.107+107-53}{53.107+54}\)=\(\dfrac{53.107+54}{53.107+54}\)=1
B=\(\dfrac{135.269-133}{134.269+135}\)=\(\dfrac{\left(134+1\right).269-133}{134.269+135}\)=\(\dfrac{134.269+269-133}{134.269+135}\)=
\(\dfrac{134.269+136}{134.269+135}\)>1
=) A<B
a , \(\dfrac{2}{3}\) > \(\dfrac{1}{2}\) > \(\dfrac{1}{3}\)
b , \(\dfrac{4}{41}\) > \(\dfrac{2}{83}\) > \(\dfrac{3}{124}\) > \(\dfrac{5}{207}\)
c , \(\dfrac{24}{13}\) > \(\dfrac{16}{19}\)
d , \(\dfrac{26}{75}\) < \(\dfrac{27}{82}\)
Câu h đã có bạn làm cho nên mk ko làm nữa!