Монгол Бодлогын Сан

Заавар: $$1.8(3)=1.8+0.1\cdot0.(3)=1.8+0.1\cdot\dfrac{1}{3}=\dfrac{18}{10}+\dfrac{1}{30}=\dfrac{55}{30}=\dfrac{11}{6}$$

Бодолт: $$\begin{gather} \sqrt{1\dfrac{9}{16}}=\sqrt{\dfrac{25}{16}}=\dfrac54\\ \dfrac54-1\dfrac{1}{24}=\dfrac{30}{24}-\dfrac{25}{24}=\dfrac{5}{24}\\ \dfrac{5}{24}+1.8(3)=\dfrac{5}{24}+\dfrac{11}{6}=\dfrac{49}{24}=2\dfrac{1}{24} \end{gather}$$