\(\frac{12}{11}=1+\frac{1}{11}\)
\(\frac{20}{19}=1+\frac{1}{19}\)
Ta thấy \(\frac{1}{11}>\frac{1}{19}\Rightarrow1+\frac{1}{11}>1+\frac{1}{19}\)
\(\Rightarrow\frac{12}{11}>\frac{20}{19}\)
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\(\frac{12}{11}=\frac{228}{209}\)
\(\frac{20}{19}=\frac{380}{209}\)
\(\Rightarrow\frac{228}{209}< \frac{380}{209}\Rightarrow\frac{12}{11}< \frac{20}{19}\)
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Ta có :
\(\frac{12}{11}=\frac{12}{11}-1=\frac{1}{11}\)
\(\frac{20}{19}=\frac{20}{19}-1=\frac{1}{19}\)
Vì \(\frac{1}{11}>\frac{1}{19}\)nên\(\frac{2}{11}>\frac{20}{19}\)
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