Question

Which of the following quotients are true? Select all that apply.A.12÷2=412÷2=4B.13÷4=4313÷4=43C.12÷6=11212÷6=112D.15÷2=1015÷2=10E.18÷3=124

Answer 1

`\begin{gathered} (1)/(2)/2=((1)/(2))/(2)=(1)/(2\cdot2)=(1)/(4) \\ \Rightarrow(1)/(2)/2=(1)/(4) \end{gathered}`

Where we used the rule

`((a)/(b))/((c)/(d))=(ad)/(bc)`

Similarly,

`\begin{gathered} (1)/(3)/4=((1)/(3))/(4)=(1)/(4\cdot3)=(1)/(12) \\ \Rightarrow(1)/(3)/4=(1)/(12) \end{gathered}`
`(1)/(2)/6=((1)/(2))/(6)=(1)/(12)`
`(1)/(5)/2=((1)/(5))/(2)=(1)/(10)`

And

`(1)/(8)/3=((1)/(8))/(3)=(1)/(24)`

Therefore, the answers are options C and E