what is 14 and 2/3 divided by 4?

wouldnt it easier to solve it this way  $${\frac{\left({\frac{{\mathtt{14}}}{{\mathtt{1}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{2}}}{{\mathtt{3}}}}\right)}{{\mathtt{4}}}} = {\frac{{\mathtt{11}}}{{\mathtt{3}}}} = {\mathtt{3.666\: \!666\: \!666\: \!666\: \!666\: \!7}}$$  with the calculater?

14 and 2/3 = 11/3

$$Turn $14\frac{2}{3}$ into an improper fraction = $\frac{44}{3}$\\\\ Divide this by 4 to get $\frac{11}{3}$ or $3\frac{2}{3}$$ $

Just to add to this, here's how you turn 14 and 2/3 into an improper fraction:

First multiply 14 times 3, add 2 to that number, and put that number over 3.

$$14\frac{2}{3}=\frac{(14\times 3)+2}{3} = \frac{(42)+2}{3}=\frac{44}{3}$$