a) \(\frac{114}{121}\) < \(\frac{225}{242}\)
b) \(\frac{114}{115}\) < \(\frac{119}{120}\)
c) \(\frac{2001}{2003}\) > \(\frac{1996}{2006}\)
d) \(\frac{97}{99}\)< \(\frac{98}{100}\)
\(a)MSC:242\)
\(\frac{114}{121}=\frac{228}{242};\frac{225}{242}=\frac{225}{242}\)
\(\Rightarrow\frac{114}{121}>\frac{225}{242}\)
b ) Ta có :
114/115 = 1 - 1/115
119/120 = 1 - 1/120
Mà 1/115 > 1/120 DO đó 1 - 1/115 < 1 - 1/120 HAy 114/115 < 119/120
c ) Ta có :
1996/2006 < 2001/2006 < 2001/2003
=> 1996/2006<2001/2003
d ) Ta có :
97/99 = 1 - 2/99
98/100 = 1 - 2/100
Mà 2/99 > 2/100 Do đó 1 - 2/99 < 1 - 2/100 hay 97/99 < 98/100
Vậy 97/99 < 98/100