so sanhs A=54x101-53/53x108+54 va B=135x269-133/134x269+135
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\dfrac{54\times107-53}{53\times107+54}=\dfrac{53\times107+53-53}{53\times107+54}=\dfrac{53\times107}{53\times107+54}< 1\)
\(\dfrac{135\times269-133}{134\times269+135}=\dfrac{134\times269+269-133}{134\times269+135}=\dfrac{134\times269+136}{134\times269+135}>1\)
\(\Rightarrow\dfrac{54\times107-53}{53\times107+54}< \dfrac{135\times269-133}{134\times269+135}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
TA có :
A = \(\dfrac{54.107-53}{53.107+54}\)= \(\dfrac{53.107+107-53}{53.107+54}\)=
\(\dfrac{53.107+54}{53.107+54}\)= 1 (1)
B = \(\dfrac{135.269-133}{134.269+135}\)=
\(\dfrac{134.269-269-133}{134.269-133}\)= \(\dfrac{134.269+136}{134.269+135}\)>1 (2)
Từ (1) và (2)
=> A > B
Ta có: \(A=\dfrac{54\cdot107-53}{53\cdot107+54}=\dfrac{53\cdot107+157-53}{53\cdot107+54}=\dfrac{53\cdot107+54}{53\cdot107+54}=1\) (1)
\(B=\dfrac{135\cdot269-133}{134\cdot269+135}=\dfrac{134\cdot269+269-133}{134\cdot269+135}=\dfrac{134\cdot269+136}{134\cdot269+135}>1\) (2)
Từ (1) và (2) suy ra: \(A< B\)
Vậy \(A< B\).
![](https://rs.olm.vn/images/avt/0.png?1311)
ta có : A=53x107+107-53/53x107+54=53x107+54/53x107+54=1
B=134x269+269-133/134x269+135=134x269+136/134x269+135>1(vì 136>135)
vậy A<B
dap an da la B>A. cho minh 1****
ban lam a dc ko