What's the difference between 126 1/4 78 2/3

Difference means subtract, so we use subtraction:

*first we need to make the fractions have the same denominator

1/4 = 3/12

2/3 = 8/12

126 (3/12) - 78 (8/12)

*since the fraction in the first term is smaller than the second, make it improper

125 (15/12) - 78 (8/12)

now simply subtract:

125 - 78

= 47

15 - 8

= 7

* this is now (7/12)

now put them back together:

47 (7/12)

That's the final answer!