Describe how dividing by 2 is the same as finding 1/2 of 1/4

1/2
1/4:1/2=1/4•2/1=2/4=1/2

To understand 1/4 dividend by 1/2 lets start with understanding what division does;

1/4 dividend by any number greater than 1 will make smaller quantities than 1/4 because you cut that 1/4 to make out of it 2 or 3 or 4...etc. equal groups

1/4 : 2 = 1/8
1/4 cut to make 2 groups =2 groups of 1/8

1/4 dividend by a number smaller than 1 like 1/2 will make you bigger quantity than 1/4 because because you don’t make not even a whole group yet a half (1/2) a group.

1/4: 1/2= 1/4 •2= 1/2

Do you mean conversion factor?