Simplifying complex Fractions

Multiply both the numerator and the denominator by \(y \over \sqrt3\), the reciprocal of \(\sqrt3 \over y\). 

This gives: \(xy\over \sqrt3\), which can be written as \(xy \sqrt3 \over 3\)

x / (y sqrt3)     multiply by    sqrt3/sqrt3

x sqrt 3 /  3y        or     x y^-1  sqrt 3 / 3

Thanks Bilderboi and EP

You did make a mistake builder boi which EP picked up on. 

Here is my answer just to stop any confusion.  

\(\frac{\frac{x}{\sqrt3}}{y}\\ =\frac{x}{\sqrt3}\div y\\ =\frac{x}{\sqrt3}\times \frac{1}{y} \\ =\frac{x}{y\sqrt3}\qquad \text{I know that you already got this far} \\ \text{now you just need to reationalize the denominator}\\ =\frac{x}{y\sqrt3} \times \frac{\sqrt3}{\sqrt3}\\ =\frac{\sqrt3\; x}{3y} \)

2nd line is that a sqrt of 3? or a sqrt of 3y? Not to judge, but I think it's more formal to write it as y sqrt of 3