Nestor R. answered 05/21/20
Mathematically-oriented professional with many years of experience
6 cups can be written as 24/4.
Divide 24/4 by 3/4.
Recall that when dividing by a fraction, one solves by multiplying the numerator by the inverse of the denominator, i.e. a/b / c/d ==a/b*d/c = ad/bc
24/4 / 3/4 = 24/4 * 4/3
The 4s cancel leaving
24/3 = 8.
You need 8 3/4 cupsful to get 6 full cups.