Find the difference in 7 7/8 - 3 1/4

There are two possible ways to solve this; ill add them both, and whichever way is convenient to you, JUST USE IT!

1st way: (I consider this way)
Change the mixed numbers into improper fractions. 
7⅞ - 3¼ = 63/8 - 13/4 

give the fractions a common denominator 
63/8 - (2)*13/4*(2) = 63/8 - 26/8 
= 37/8 

change the improper fraction to a mixed number 
37/8 = 4⅝

2nd way:
I like to write the numbers above each other: 
7 7/8 
3 1/4 
 

For the fractions, you need to have the same denominator (8), so convert 1/4 to 2/8. 
7 7/8 
3 (2)*1/4*(2) ⇒ 3 2/8
 

Now subtract the fractions and the whole numbers separately. Fortunately there is no need to borrow, so this step is very easy: 
 7 7/8 
-3 2/8 
 
4 5/8 

 4 5/8