\(\dfrac{12}{13}=\dfrac{12x14}{13x14}=\dfrac{168}{182}\)
\(\dfrac{13}{14}=\dfrac{13x13}{14x13}=\dfrac{169}{182}\)
\(\dfrac{12}{13}\) và \(\dfrac{13}{14}\)
Ta có : \(12\times14=168\)
\(13\times13=169\)
Mà \(168< 169\) Nên : \(\dfrac{12}{13}< \dfrac{13}{14}\)
Ta có: \(1 - \frac{12}{13} = \frac{13}{13} - \frac{12}{13} = \frac{1}{13}\)
\(1 - \frac{13}{13} = \frac{14}{14} - \frac{13}{14} = \frac{1}{14}\)
Vì \(\frac{1}{13} > \frac{1}{14}\)nên phần bù của \(\frac{12}{13} > \frac{13}{14}\)
\(\Rightarrow \frac{12}{13} < \frac{13}{14}\)