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