Simplify the Complex Fraction I am having trouble with the following complex fraction. I have simplified everything for the most part, but I am stuck on the last part and need to know what I have to do next.
$$\frac{\frac{2}{3}+\frac{4}{5}}{\frac{5}{6}-\frac{1}{2}}$$
(I hope this converts over to the way it needs to be displayed.
I have simplified it to
    $\frac{\frac{10}{15}+\frac{12}{15}}{\frac{10}{12}-\frac{6}{12}}$
which equals to
    $\frac{\frac{22}{15}}{\frac{4}{12}}$
simplified to
$\frac{4}{12}×\frac{15}{22}$
At this point do I cross multiply and then add the two results? I can't figure out what to do next. Please help me.

The correct answer is $22/5$:
$$
\frac{\frac{2}{3}+\frac{4}{5}}{\frac{5}{6}-\frac{1}{2}}=
\frac{\frac{10+12}{15}}{\frac{5-3}{6}}=
\frac{\frac{22}{15}}{\frac{2}{6}}=
\frac{\frac{22}{15}}{\frac{1}{3}}=
\frac{22}{15}\cdot \frac{3}{1}=\frac{22}{5}.
$$
