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a: \(\dfrac{1\cdot5\cdot6+2\cdot10\cdot12}{1\cdot3\cdot52\cdot6\cdot10}=\dfrac{5\cdot6\left(1+2\cdot2\cdot2\right)}{3\cdot52\cdot6\cdot10}\)
\(=\dfrac{1}{2}\cdot\dfrac{9}{156}\)
\(=\dfrac{9}{312}=\dfrac{3}{104}\)
\(A=\frac{\left(53+1\right).107-53}{53.107+54}=\frac{53.107+107-53}{53.107+54}=\frac{53.107+54}{53.107+54}=1.\)
\(B=\frac{\left(134+1\right).269-133}{134.269+135}=\frac{134.269+269-133}{134.269+135}=\frac{134.269+136}{134.269+135}>1\)
\(\Rightarrow A< B\)
THAM KHẢO :
A = 53.107 + 54 53 + 1 .107 − 53
= 53.107 + 54 53.107 + 107 − 53
= 53.107 + 54 53.107 + 54 = 1.
B = 134.269 + 135 134 + 1 .269 − 133
= 134.269 + 135 134.269 + 269 − 133
= 134.269 + 135 134.269 + 136 > 1
⇒A < B
\(\frac{54\times107-53}{53\times107+54}=\frac{53\times107+107-53}{53\times107+54}=\frac{53\times107+54}{53\times107+54}=1\)
\(\frac{135\times269-134}{134\times269+135}=\frac{134\times269+269-134}{134\times269+135}=\frac{134\times269+135}{134\times269+135}=1\)
Cô làm đ