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

Mar 24, 2015

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
$\left(\frac{1}{2}\right) \div \left(\frac{\sqrt{3}}{2}\right)$

$= \left(\frac{1}{2}\right) \times \frac{1}{\frac{\sqrt{3}}{2}}$
or
$\left(\frac{1}{\cancel{2}}\right) \times \left(\frac{\cancel{2}}{\sqrt{3}}\right)$

$= \left(\frac{1}{\sqrt{3}}\right)$