Question

-4 1/2 divided by -2 2/3

Answer 1

let's firstly convert the mixed fractions to improper fractions, and then divide.

$\bf \stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}}~\hfill \stackrel{mixed}{2\frac{2}{3}}\implies \cfrac{2\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{8}{3}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{-9}{2}\div\cfrac{-8}{3}\implies \cfrac{-9}{2}\cdot \cfrac{3}{-8}\implies \cfrac{-27}{-16}\implies \cfrac{27}{16}\implies 1\frac{11}{16}$

Answer 2

The answer you're looking for is 1 11/16

                  11    

              1 ---------

                  16