Question

How do you divide `(1/2) ÷ (sqrt3/2)`?

Answer 1

Division is the same thing as multiplying by the reciprocal
and the reciprocal of a fraction is the fraction with numerator and denominator reversed (assuming you are not trying to divide by zero).

So
`(1/2) div (sqrt(3)/2)`

`= (1/2) xx 1/(sqrt(3)/2)`
or
`(1/cancel2) xx (cancel2/sqrt(3))`

`= (1/sqrt(3))`