Question

What is 1/3 devided by 1/6

Answer 1

`(1)/(3)/(1)/(6)`

To perform the division of fractions, take the reciprocal of 1/6:

`(6)/(1)`

Rememer that to divide by a fraction is the same that to multiply by its reciprocal. Then:

`\begin{gathered} (1)/(3)/(1)/(6)=(1)/(3)*(6)/(1) \\ =(1*6)/(3*1) \\ =(6)/(3) \\ =2 \end{gathered}`

Therefore:

`(1)/(3)/(1)/(6)=2`