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Ta có : \(\frac{124124}{125125}=\frac{124124:1001}{125125:1001}=\frac{124}{125}\)
\(\frac{123}{124}=1-\frac{1}{124}\); \(\frac{124}{125}=1-\frac{1}{125}\)
Vì 1/124 < 1/125 => 123/124 > 123/125 => 123/124 > 124124/125125
ta có: \(\frac{124124}{125125}=\frac{124}{125}\)
Lại có: \(1-\frac{123}{124}=\frac{1}{124};1-\frac{124}{125}=\frac{1}{125}\)
\(\Rightarrow\frac{1}{124}>\frac{1}{125}\Rightarrow1-\frac{123}{124}>1-\frac{124}{125}\)
\(\Rightarrow\frac{123}{124}< \frac{124}{125}\Rightarrow\frac{123}{124}< \frac{124124}{125125}\)
Ta có:\(\dfrac{2323}{9999}=\dfrac{23.101}{99.101}=\dfrac{23}{99}\)
\(\dfrac{232323}{999999}=\dfrac{23.10101}{99.10101}=\dfrac{23}{99}\)
\(\Rightarrow\dfrac{2323}{9999}=\dfrac{232323}{999999}\)
\(\frac{12}{13}>\frac{22}{33}\)
\(\frac{123}{123}=\frac{124124}{125125}\)
Chuyển từ phân số thành hỗn số :
\(\frac{14}{5}=2\frac{4}{5},\frac{29}{7}=4\frac{1}{7},\frac{100}{24}=4\frac{1}{6},\frac{32}{7}=4\frac{4}{7},\frac{315}{100}=3\frac{3}{20}\)
\(\frac{31}{15}=2\frac{1}{15},\frac{89}{10}=8\frac{9}{10},\frac{25}{6}=4\frac{1}{6},\frac{124}{50}=2\frac{12}{25},\frac{35}{4}=8\frac{3}{4}\)
\(\dfrac{121212}{212121}< \dfrac{12121212}{21212121}\)
-12/20 = -3/5 -51/85 = -3/5
Vì -3/5 = -3/5 nên -12/20 = -51/85
-2727/2323 = -27/23 -272727/232323 = -27/23
Vì -27/23 = -27/23 nên -2727/2323 = -272727/232323
1)Ta có : 212121/353535 = 212121:10101/353535:10101 = 21/35 = 3/5
131313/141414 = 131313:10101/141414:10101 = 13/14
Ta có : 3/5 = 42/70 ; 13/14 = 65/70
Vì 42<65 => 42/70<65/70 => 212121/353535<131313/141414
2)Ta có : 2012/2013<1
2013/2014<1
2014/2015<1
=> 2012/2013+ 2013/2014+ 2015/2012<1+1+1=3
Vậy 2012/2013+ 2013/2014+ 2015/2012<3
\(\dfrac{212121}{232323}=\dfrac{212121:10101}{232323:10101}=\dfrac{21}{23}\)
\(\dfrac{123123}{124124}=\dfrac{123123:1001}{124124:1001}=\dfrac{123}{124}\)
Ta có: \(1-\dfrac{21}{23}=\dfrac{2}{23}\) ; \(1-\dfrac{123}{124}=\dfrac{1}{124}=\dfrac{2}{248}\)
\(=>\dfrac{2}{23}>\dfrac{2}{248}\)
\(=>1-\dfrac{21}{23}>1-\dfrac{123}{124}\)
\(=>\dfrac{21}{23}< \dfrac{123}{124}\)
\(=>\dfrac{212121}{232323}< \dfrac{123123}{124124}\)
what?