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\(\frac{1313}{1717}=\frac{1313:101}{1717:101}=\frac{13}{17}\)
\(\frac{131313}{171717}=\frac{131313:10101}{171717:10101}=\frac{13}{17}\)
+ \(\frac{2000}{2001}=\frac{2001-1}{2001}=1-\frac{1}{2001}\)
+ \(\frac{2001}{2002}=\frac{2002-1}{2002}=1-\frac{1}{2002}\)
+ \(\frac{1}{2001}>\frac{1}{2002}\Rightarrow1-\frac{1}{2001}
\(1-\frac{2000}{2001}=\frac{1}{2001}\)
\(1-\frac{2001}{2002}=\frac{1}{2002}\)
Vì \(\frac{1}{2001}>\frac{1}{2002}\) nên \(\frac{2000}{2001}
Ta có: 2000/2001 = 1 - 1/2001
2001/2002 = 1 - 1/2002
mà 1/2001 > 1/2002
--> 1 - 1/2001 < 1 - 1/2002
--> 2000/2001 < 2001/2002
a) có 12/48 < 13/48, 13/48 < 13/47 => 12/48 < 13/47 b) có 415/395 > 1 , 572/581 <1 => 415/395 > 572/581
a) có 12/48 < 13/48, 13/48 < 13/47
=> 12/48 < 13/47
b) có 415/395 > 1 , 572/581 <1
=> 415/395 > 572/581
\(\dfrac{1313}{1717}=\dfrac{101x13}{101x17}=\dfrac{13}{17}\)
\(\dfrac{131313}{171717}=\dfrac{10101x13}{10101x17}=\dfrac{13}{17}\)
Vậy \(\dfrac{1313}{1717}=\dfrac{131317}{171717}\)
\(\dfrac{1313}{1717}và\dfrac{131313}{171717}\\ \dfrac{1313}{1717}=\dfrac{13}{17}\\ \dfrac{131313}{171717}=\dfrac{13}{17}\\ \Rightarrow\dfrac{1313}{1717}=\dfrac{131313}{171717}\)