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111/115= 1 - 4/115
555/559= 1- 4/559
Vì: 4/115> 4/559
=> 1- 4/115< 1- 4/559
=> 111/115< 555/559
\(\frac{111}{115}\)= 1 - \(\frac{4}{115}\)
\(\frac{555}{559}\)= 1 - \(\frac{4}{559}\)
\(\frac{4}{115}\)> \(\frac{4}{559}\)
=> \(\frac{111}{115}\) < \(\frac{555}{559}\)
a) Ta có:
\(\frac{232323}{999999}=\frac{23.10101}{99.10101}=\frac{23}{99}\)
Vì : \(\frac{23}{99}=\frac{23}{99}\\ =>\frac{23}{99}=\frac{232323}{999999}\)
b) \(-\frac{63}{84}=-\frac{3}{4}\\ \frac{65}{-91}=-\frac{5}{7}\)
Vì: \(-\frac{3}{4}< -\frac{5}{7}\\ =>-\frac{63}{84}< \frac{65}{-91}\)
c) Ta có: \(\frac{111}{115}=1-\frac{4}{115}\\ \frac{555}{559}=1-\frac{4}{559}\)
Vì: \(\frac{4}{115}>\frac{4}{559}\\ =>1-\frac{4}{115}< 1-\frac{4}{559}\\ =>\frac{111}{115}< \frac{555}{559}\)
a) \(\dfrac{23}{99}\) và \(\dfrac{232323}{999999}\)
* Giữ nguyên \(\dfrac{23}{99}\).
* Rút gọn \(\dfrac{232323}{999999}=\dfrac{23}{99}\).
Vì \(\dfrac{23}{99}=\dfrac{23}{99}\) nên \(\dfrac{23}{99}=\dfrac{232323}{999999}\)
Vậy \(\dfrac{23}{99}=\dfrac{232323}{999999}\).
b) \(\dfrac{-63}{84}\) và \(\dfrac{65}{-91}\)
\(\circledast\) Rút gọn:
\(\dfrac{-63}{84}=\dfrac{-3}{4}\) ; \(\dfrac{65}{-91}=\dfrac{-5}{7}\)
\(\circledast\) Quy đồng:
Mẫu chung: 28
\(\dfrac{-3}{4}=\dfrac{-3.7}{4\cdot7}=\dfrac{-21}{28}\)
\(\dfrac{-5}{7}=\dfrac{-5\cdot4}{7\cdot4}=\dfrac{-20}{28}\)
Vì \(\dfrac{-21}{28}< \dfrac{-20}{28}\) nên \(\dfrac{-63}{84}< \dfrac{65}{-91}\).
Vậy \(\dfrac{-63}{84}< \dfrac{65}{-91}\).
c) \(\dfrac{111}{115}\) và \(\dfrac{555}{559}\)
\(\dfrac{111}{115}=1-\dfrac{4}{115}\) ; \(\dfrac{555}{559}=1-\dfrac{4}{559}\)
Vì \(\dfrac{4}{115}>\dfrac{4}{559}\)
\(\Rightarrow\) \(1-\dfrac{4}{115}< 1-\dfrac{4}{559}\)
\(\Rightarrow\) \(\dfrac{111}{115}< \dfrac{555}{559}\)
Vậy \(\dfrac{111}{115}< \dfrac{555}{559}\).
Ta có:
\(\frac{111}{115}=\frac{111.5}{115.5}=\frac{555}{575}< \frac{555}{559}\)
=> \(\frac{111}{115}< \frac{555}{559}\)