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Ta có: 9/16=27/48
: -13/-24=13/24=26/48
Mà:27>26=>27/48>26/48
Nên 9/16>-13/-24
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có: \(-\frac{18}{91}>-\frac{1}{5}=-\frac{18}{90}\)
\(-\frac{23}{114}-\frac{1}{5}>-\frac{23}{114}\)
Ta thấy
\(\frac{-18}{91}>\frac{-18}{114}\) (1)
\(\frac{-18}{114}>\frac{-23}{114}\) (2)
Từ (1) và (2) => \(\frac{-18}{91}>\frac{-23}{114}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{14}{29}< \frac{14}{28}=\frac{1}{2}\)
\(\frac{13}{20}>\frac{10}{20}=\frac{1}{2}\)
Vậy \(\frac{14}{29}< \frac{13}{20}\)
\(\frac{14}{29}< \frac{14}{28}=\frac{1}{2}=\frac{10}{20}< \frac{13}{20}\)
\(\Rightarrow\frac{14}{29}< \frac{13}{20}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có 13x = \(\frac{13^{17}+13}{13^{17}+1}=1+\frac{12}{13^{17}+1}\)
13y = \(\frac{13^{16}+13}{13^{16}+1}=1+\frac{12}{13^{16}+1}\)
Vì 1317 + 1 > 1316 + 1
=> \(\frac{1}{13^{17}+1}< \frac{1}{13^{16}+1}\)
=> \(\frac{12}{13^{17}+1}< \frac{12}{13^{16}+1}\)
=> \(1+\frac{12}{13^{17}+1}< 1+\frac{12}{13^{16}+1}\)
=> 13x < 13y
=> x < y
Vậy x < y
![](https://rs.olm.vn/images/avt/0.png?1311)
\(a,\dfrac{1997}{1996}>1>\dfrac{1996}{1997}\\ b,\dfrac{3}{5}< 1< \dfrac{15}{13}\)
5/12>7/18 nha
tíc cho mk
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