\(A>B\)

cách làm

nhanh len nhe ngay mai thi roi

Ta thấy :

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

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

Vậy A < B

 vi 53/53.107 =1/107 nenA > 54.107+54 < 135.269 < B

so sánh hả

ko biết nữa 

54.107-53 phần 53.107+54

=5725 phần 5725

->A>1

=1

B=36182 phần 36181

-> B<1

->A > b

\(A=\frac{54\cdot107-53}{53\cdot107+54}=\frac{\left(53+1\right)107-53}{53\cdot107+54}=\frac{53\cdot107+107-53}{53\cdot107+54}=\frac{53\cdot107+54}{53\cdot107+54}=1\)

\(B=\frac{135\cdot268-133}{134\cdot269+135}=\frac{\left(134+1\right)\cdot268-133}{134\cdot269+135}=\frac{134\cdot268+268-133}{34\cdot269+135}=\frac{134\cdot268+135}{134\cdot269+135}=1\)

Vì 1=1 nên A=B

ban tra loi viet de sai roi 269 ma viet thanh 268

A=B

quá dễ

\(M=\dfrac{54.107-53}{53.107-54}=\dfrac{53\left(107-1\right)+107}{53\left(107-1\right)-1}=\dfrac{53.106-1+108}{53.106-1}=1+\dfrac{108}{53.106-1}\)

\(N=\dfrac{135.269-133}{134.269-135}=\dfrac{134\left(269-1\right)-1+270}{134\left(269-1\right)-1}=1+\dfrac{270}{134.268-1}\)

\(M-N=\dfrac{108}{53.106-1}-\dfrac{270}{134.268-1}\)

\(M-N=\dfrac{2}{2.53^2-1}-\dfrac{5}{8.67^2-1}>\dfrac{5}{10.53^2-1}-\dfrac{5}{8.67^2-1}>0\)

M>N