<p>What is the <a href="https://artofproblemsolving.com/wiki/index.php/Reciprocal" title="Reciprocal">reciprocal</a> of <img alt="$\frac{1}{2}+\frac{2}{3}$" height="37" src="https://latex.artofproblemsolving.com/2/3/4/234c079a77ec02bd0bb7c7fd5fbcdec63a503b5e.png" width="47" />?</p>