Question

Which is an equivalent ratii to 6/7

Answer 1

Let:

`\begin{gathered} k=constant_{\text{ }}of_{\text{ }}proportionality \\ k\in\N \end{gathered}`
`\begin{gathered} 6\colon7=(6)/(7) \\ let \\ k=2 \\ (6)/(7)\equiv(k)/(k)*(6)/(7)=(2)/(2)*(6)/(7)=(12)/(14) \\ so\colon \\ (6)/(7)\equiv(12)/(14) \end{gathered}`
`\begin{gathered} 9\colon5=(9)/(5) \\ let \\ k=3 \\ (9)/(5)\equiv(k)/(k)*(9)/(5)=(3)/(3)*(9)/(5)=(27)/(15) \\ so\colon \\ (9)/(5)\equiv(27)/(15) \end{gathered}`