Ta có: \(\frac{731}{217}=\frac{651+80}{217}=3+\frac{80}{217}\)
\(\frac{221}{71}=\frac{213+8}{71}=3+\frac{8}{71}=3+\frac{80}{710}\)
mà \(\frac{80}{217}>\frac{80}{710}\left(217<710\right)\)
nên \(\frac{731}{217}>\frac{221}{71}>3\)
=>\(5>\frac{731}{217}>\frac{221}{71}\) (1)
Ta có: \(\frac{1711}{341}=\frac{1705+6}{341}=5+\frac{6}{341}\)
\(\frac{721}{143}=\frac{715+6}{143}=5+\frac{6}{143}\)
mà \(\frac{6}{341}<\frac{6}{143}\left(341>143\right)\)
nên \(5<\frac{1711}{341}<\frac{721}{143}\) (2)
Từ (1),(2) suy ra \(\frac{221}{71}<\frac{731}{217}<\frac{1711}{341}<\frac{721}{143}\)
Ta có: \(\frac{731}{217}=\frac{651+80}{217}=3+\frac{80}{217}\)
\(\frac{221}{71}=\frac{213+8}{71}=3+\frac{8}{71}=3+\frac{80}{710}\)
mà \(\frac{80}{217}>\frac{80}{710}\left(217<710\right)\)
nên \(\frac{731}{217}>\frac{221}{71}>3\)
=>\(5>\frac{731}{217}>\frac{221}{71}\) (1)
Ta có: \(\frac{1711}{341}=\frac{1705+6}{341}=5+\frac{6}{341}\)
\(\frac{721}{143}=\frac{715+6}{143}=5+\frac{6}{143}\)
mà \(\frac{6}{341}<\frac{6}{143}\left(341>143\right)\)
nên \(5<\frac{1711}{341}<\frac{721}{143}\) (2)
Từ (1),(2) suy ra \(\frac{221}{71}<\frac{731}{217}<\frac{1711}{341}<\frac{721}{143}\)
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