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\(\dfrac{58}{21}=2\dfrac{16}{21}=2+\dfrac{16}{21}=2+\left(1-\dfrac{5}{21}\right)=3-\dfrac{5}{21}\)
\(\dfrac{61}{22}=2\dfrac{17}{22}=2+\dfrac{17}{22}=2+\left(1-\dfrac{5}{22}\right)=3-\dfrac{5}{22}\)
Ta có
\(\dfrac{5}{21}>\dfrac{5}{22}\Rightarrow3-\dfrac{5}{21}< 3-\dfrac{5}{22}\Rightarrow\dfrac{58}{61}< \dfrac{61}{22}\)
\(\frac{97}{195}và\frac{89}{175}\)
\(Vì\frac{97}{195}-\frac{89}{175}
\(\frac{12}{47}>\frac{12}{48}=\frac{1}{4}\)
\(\frac{19}{77}< \frac{19}{76}=\frac{1}{4}\)
\(\Rightarrow\frac{12}{47}>\frac{19}{77}\)
\(\frac{58}{89}< \frac{58}{87}=\frac{2}{3}\)
\(\frac{36}{53}>\frac{36}{54}=\frac{2}{3}\)
\(\Rightarrow\frac{58}{89}< \frac{36}{53}\)
a : vì \(\dfrac{354}{758}< 1;\dfrac{123}{56}>1\\ \Rightarrow\dfrac{354}{758}< \dfrac{123}{56}\)
b:\(\dfrac{-18}{2021}< 0;\dfrac{75}{2022}>0\\ \Rightarrow\dfrac{-18}{2021}< \dfrac{75}{2022}\)
a) Do 354/758<1 ;123/56>1
=>354/758<123/56
b) -18/2021<0;72/2022>0
=>-18/2021<72/2022
\(\frac{58}{89}=\frac{58.18}{89.18}=\frac{1044}{1602}\)
\(\frac{36}{53}=\frac{36.29}{53.29}=\frac{1044}{1537}\)
Nhận thấy: 1602 > 1537 => \(\frac{1044}{1602}< \frac{1044}{1537}\)
=> \(\frac{58}{89}< \frac{36}{53}\)
ko quy đồng mà