\(\dfrac{5}{10}=\dfrac{5:5}{10:5}=\dfrac{1}{2}\\ \dfrac{6}{12}=\dfrac{6:6}{12:6}=\dfrac{1}{2}\\ \Rightarrow \dfrac{5}{10}=\dfrac{6}{12}\\ \dfrac{10}{12}=\dfrac{10:2}{12:2}=\dfrac{5}{6}\\ \Rightarrow\dfrac{10}{12}=\dfrac{5}{6}\\ \dfrac{10}{5}=\dfrac{10:5}{5:5}=2\\ \dfrac{12}{6}=\dfrac{12:6}{6:6}=2\\ \Rightarrow\dfrac{10}{5}=\dfrac{12}{6}\)
Ta có:
\(5.12=6.10\Rightarrow\left\{{}\begin{matrix}\dfrac{5}{6}=\dfrac{10}{12}\\\dfrac{5}{10}=\dfrac{6}{12}\\\dfrac{12}{6}=\dfrac{10}{5}\\\dfrac{12}{10}=\dfrac{6}{5}\end{matrix}\right.\)