Fraction Multiplication and or divison

Question

If 1/4 butter cup makes 1 dozen of cookies, how many 1/4 butter cups I need to make 2 1/4 dozen of cookies?

Answer 1

1/4 butter cups =1 dozen of cookies

? of 1/4 butter cups = 2 1/4 dozen of cookies

I am going to change 2 1/4 dozen to an improper fraction so 2 1/4 dozen = 9/4 dozen

(1/4)/1= x/(9/4) Now solve for x by multiplying 9/4 to both sides

9/16 =x so we get 9/16 total of butter and not 1/4 butter cups so we need to divide it by 1/4

(9/16) /(1/4)= 9/4

so this means we need 9 of 1/4 butter cups to make 2 1/4 dozen of cookies.