Question 175653
{{{(1/2)/(sqrt(3)/2)}}} Start with the given expression.



{{{(1/2)(2/sqrt(3))}}} Multiply the first fraction by the reciprocal of the second fraction. In other words, flip the second fraction and multiply



{{{2/(2*sqrt(3))}}} Combine the fractions.



{{{cross(2)/(cross(2)*sqrt(3))}}} Cancel out the common terms.



{{{1/(sqrt(3))}}} Simplify



{{{(1/(sqrt(3)))(sqrt(3)/sqrt(3))}}} Multiply the fraction by {{{sqrt(3)/sqrt(3)}}}



{{{sqrt(3)/(sqrt(3)*sqrt(3))}}} Multiply the fractions



{{{sqrt(3)/(3)}}} Multiply the radicals




So {{{(1/2)/(sqrt(3)/2)=sqrt(3)/(3)}}}