The answer is 10 cups
[tex]2 \frac{2}{4} =2+ \frac{2}{4} = \frac{2}{1} +\frac{2}{4} =\frac{2*4}{1*4} +\frac{2}{4} =\frac{8}{4} +\frac{2}{4} =\frac{8+2}{4} =\frac{10}{4} [/tex]
So, now let's divide 2 2/4 by 1/4:
[tex]2\frac{2}{4} : \frac{1}{4} =\frac{10}{4} :\frac{1}{4} =\frac{10}{4} *\frac{4}{1} =\frac{40}{4} =10[/tex]