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Đề: so sánh phân số 71/20 với 4/1 (4) MC(20;1)= 20 71/20= 71/20: 4/1= 80/20 Vì 71 <80 nên phân số 71/20 < 4/1 Mà: 71/20<4/1 Suy ra: 71/20 < 4
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134/43 = 3,1162... bé - lớn : 55/21 ; 134/43 ; 116/37 ; 74/19
55/21 = 2,6190... lớn - bé : (ngược lại)
74/19 = 3,8947...
116/37 = 3,1351...
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a) Cách 1 :
\(P=\left\{x\in N;x=2k+1;1< k< 4\right\}\)
Cách 2 :
\(P=\left\{5;7\right\}\)
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\(\dfrac{2011}{2010}>1;\dfrac{2010}{2011}< 1\\ Nên:\dfrac{2011}{2010}>1>\dfrac{2010}{2011}\\ Vậy:\dfrac{2011}{2010}>\dfrac{2010}{2011}\)
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Ta xét : \(B=\left(2017\right).2019=\left(2018-1\right)\left(2018+1\right)\)
\(B=2018.2018+2018-2018-1\)
\(B=2018.2018-1\)
Mà : \(A=2018.2018\)
\(Dođó:A>B\)
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\(2B=2^3+2^3+2^4+...+2^{21}\)
\(\Leftrightarrow B=2^{21}\)
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`33/131`
`=4983/(131.151)`
`53/151`
`=6943/(131.151)`
`=>43/151>33/131`
Ta có: \(\dfrac{33}{131}=1-\dfrac{98}{131}\)
\(\dfrac{53}{151}=1-\dfrac{98}{151}\)
mà \(\dfrac{98}{131}>\dfrac{98}{151}\Leftrightarrow1-\dfrac{98}{131}< 1-\dfrac{98}{151}\)
nên \(\dfrac{33}{131}< \dfrac{53}{151}\)
\(\dfrac{55}{21}< \dfrac{134}{43}< \dfrac{116}{37}< \dfrac{74}{19}\)
\(\dfrac{74}{19}>\dfrac{116}{37}>\dfrac{134}{43}>\dfrac{55}{21}\)