We have to divide 2 1/4 by 3/4

First convert 2 1/4 to an improper fraction

2 1/4 = (2*4 + 1)/4 = 9/4

Divide 9/4 by 3/4

(9/4)/(3/4)

The denominator of both the numerator and denominator are the same and can be canceled. This gives 9/3

Now cancel the common factor 3, which gives 3

The required value of 2 1/4 divided by 3/4 is 3