Question

what is 1/3 devided by 1/6

Answer 1

$\frac{1}{3}\div\frac{1}{6}$

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

$\frac{6}{1}$

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

$\begin{gathered} \frac{1}{3}\div\frac{1}{6}=\frac{1}{3}\times\frac{6}{1} \\ =\frac{1\times6}{3\times1} \\ =\frac{6}{3} \\ =2 \end{gathered}$

Therefore:

$\frac{1}{3}\div\frac{1}{6}=2$