Dividing fractions

Question

How many 1/4 inch cubes does it take to fill a box with a width of 2 1/4 inches, 3 3/4 inches and height of 2 1/4 inches

Answer 1

1. (1/4)³ = 1/64 cubic inches
2. (9/4)(15/4)(9/4) = 1215/64 cubic inches
3. (1215/64)/(1/64) = (1215/64)(64/1) = (1215/64)(64) = 1215 boxes
4. The denominator and numerator each of 64 cancels out. You are left with 1215 boxes.