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a) \(A=\frac{135}{135.136-1}\) và \(B=\frac{136}{136.137-1}\)
\(A=\frac{1}{136-1}=\frac{1}{135}\) \(B=\frac{1}{137-1}=\frac{1}{136}\)
Vì \(\frac{1}{136}\)< \(\frac{1}{135}\)nên A > B.
a, A = \(\frac{136-1}{\left(136-1\right)136-1}\) = \(\frac{136-1}{136^2-136-1}\) B=\(\frac{136}{136\left(136+1\right)-1}\)=\(\frac{136}{136^2+136-1}\)
x=136, A-B =\(\frac{x-1}{x^2-x-1}\)-\(\frac{x}{x^2+x-1}\) =\(\frac{x^3+x^2-x-x^2-x+1-x^3+x^2+x}{\left(x^2-1\right)^2-x^2}\)=\(\frac{x^2-x+2}{\left(x^2-1\right)^2-x^2}\)<0
=> A<B
b,A = \(\frac{456-333}{456}\)= 1-333/456 B=\(\frac{789-333}{789}\)= 1-333/789
=> A>B
c, 3/14<3/13<3/12<3/11<3/10 <2/5
M = 3/10+3/11+3/12+3/13+3/14 < 2/5 x5 = 2= N
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Ta có: \(\frac{\left(456.11+912\right).37}{1374}=\frac{\left(456.11+456.2\right).37}{1374}\)
\(=\frac{456.\left(11+2\right).37}{1374}=\frac{456.13.37}{1374}=\frac{76.6.13.37}{6.229}=159,633...\)
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1.\(\frac{456}{461}va\frac{123}{128}\)
Ta có: \(\frac{456}{461}+\frac{5}{461}=1\)
\(\frac{123}{128}+\frac{5}{128}=1\)
vì \(\frac{5}{461}< \frac{5}{128}\)nên \(\frac{456}{461}>\frac{123}{128}\)
2.\(\frac{53}{57}va\frac{531}{571}\)
Vì \(\frac{53}{57}< 1\)
\(\Rightarrow\frac{53}{57}=\frac{530}{570}< \frac{530+1}{570+1}=\frac{531}{571}\)
\(\Rightarrow\frac{53}{57}< \frac{531}{571}\)
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456 x 128 / 451 x 128 =58368/57728
123 x 451 / 128 x 451 = 55473/57728
so sánh : 58368/57728 ...>.... 55473/ 57728
vậy suy ra : 456/451 ....>.... 123/128
tk mk nha mk nhanh nhất
\(\frac{456}{451}\) > \(\frac{123}{128}\)tích cho mik nhé
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a) \(\frac{158\cdot168-168\cdot58}{110}\)
\(=\frac{\left(158-58\right)\cdot168}{110}\)
\(=\frac{100\cdot168}{110}=\frac{16800}{110}=\frac{1680}{11}\)
b) \(\frac{\left(456.11+912\right)\cdot37}{13\cdot74}\)
\(=\frac{456\cdot11+456\cdot2\cdot37}{13\cdot37\cdot2}\)
\(=\frac{456\cdot\left(11+2\right)\cdot37}{\left(13\cdot2\right)\cdot37}\)
\(=\frac{456\cdot13\cdot37}{26\cdot37}=228\)
c) \(\frac{864\cdot48-432\cdot96}{864\cdot48\cdot432}\)
\(=\frac{432\cdot2\cdot48-432\cdot48\cdot2}{432\cdot2\cdot48\cdot432}=0\)
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Bài 1:
a: =25+75=100
b: =60-17-43+12=12
c: =-2-18=-20
d: =-3+36-17=36-20=16
Bài 2:
a: =-102
b: =-1000
c: =12x15=180
d: =21x(-10)=-210
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a) So sánh \(\frac{461}{456}\) và \(\frac{128}{123}\):
\(\frac{461}{456}\) = \(\frac{456+5}{456}=1+\frac{5}{456};\frac{128}{123}=\frac{123+5}{123}=1+\frac{5}{123}\)
Vì \(\frac{1}{456}
ái chà
Ta có: \(A=\frac{36.454-154.33}{274.253+456}=\frac{5631}{34889}\)
vậy \(A=\frac{5631}{34889}\)