So sánh:
\(\frac{72}{73}\)và \(\frac{58}{99}\)
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Ta có: \(\frac{72}{73}>\frac{58}{73}\)
Mà: \(\frac{58}{73}>\frac{58}{99}\)
\(\Rightarrow\frac{72}{73}>\frac{58}{99}\)
Ta co : 72/73 = 1 - 1/73 ; 98/99 = 1 - 1/99
Vì 1/73 > 1/99 suy ra 1 - 1/73 < 1 - 1/99 hay 72/73 < 98/99
Ta có: \(\frac{72}{73}=1-\frac{1}{73}\);\(\frac{98}{99}=1-\frac{1}{99}\)
Vì \(\frac{1}{73}>\frac{1}{99}\Rightarrow1-\frac{1}{73}< 1-\frac{1}{99}\)
\(\Rightarrow\frac{72}{73}< \frac{98}{99}\)
Vậy \(\frac{72}{73}< \frac{98}{99}\)
a) \(\frac{5}{9}=\frac{20}{36};\frac{1}{4}=\frac{9}{36}\)
\(\frac{20}{36}>\frac{9}{36}\Rightarrow\frac{5}{9}>\frac{1}{4}\)
\(\frac{72}{73}=\frac{4248}{4307};\frac{58}{59}=\frac{4234}{4307}\)
\(\frac{4248}{4307}>\frac{4234}{4307}\Rightarrow\frac{72}{73}>\frac{58}{59}\)
\(\frac{n}{n+3}=\frac{n+1}{n-1}=\frac{n+1}{3-2}=\frac{n+1}{n+2}\)
\(\Rightarrow\frac{n}{n+3}=\frac{n+1}{n+2}\)
\(\dfrac{19}{19}\) = 1 < \(\dfrac{2005}{2004}\) vậy \(\dfrac{19}{19}\) < \(\dfrac{2005}{2004}\)
\(\dfrac{72}{73}\) = 1 - \(\dfrac{1}{73}\)
\(\dfrac{98}{99}\) = 1 - \(\dfrac{1}{99}\)
Vì \(\dfrac{1}{73}\) > \(\dfrac{1}{99}\) nên \(\dfrac{72}{73}\) < \(\dfrac{98}{99}\)
Ta có : \(\frac{72}{99}>\frac{58}{99}\left(72>58\right)\)
Mà \(\frac{72}{73}>\frac{72}{99}\left(73< 99\right)\)
\(\Rightarrow\frac{72}{73}>\frac{58}{99}\)
Tham khảo nha !!!
\(\frac{72}{73}>\frac{58}{99}\)