Монгол Бодлогын Сан

Заавар: Үйлдлийн дараалал нь $\Bigl(5\displaystyle\frac{13}{42}\overset{I}{{}-{}}4\displaystyle\frac{5}{24}\Bigr)\overset{II}{{}:{}}11\displaystyle\frac{1}{84}$ байна. $$\dfrac{a}{b}:\dfrac{c}{d}=\dfrac{a}{b}\cdot\dfrac{d}{c}$$

Бодолт: I. $5\dfrac{13}{42}-4\dfrac{5}{24}=(5-4)+\dfrac{13}{2\cdot3\cdot 7}^{\color{WildStrawberry}{(2^2}}-\dfrac{5}{2^3\cdot 3}^{\color{WildStrawberry}{(7}}=1+\dfrac{17}{168}=\dfrac{185}{168}$

II. $\dfrac{185}{168}:11\dfrac{1}{84}=\dfrac{185}{168}:\dfrac{925}{84}=\dfrac{\cancel{185}}{\bcancel{84}\cdot 2}\cdot\dfrac{\bcancel{84}}{\cancel{185}\cdot 5}=0.1$