Show that 7 1/2 - 4 2/3 = 2 5/6

You have to make the denominator common before subtracting 2 fractions.

Since the end fraction has a denominator of 6 try and multiply both of the ones on the LHS to get 6 as a denominator.

First though convert the improper fractions into fractions solely.

7 1/2 goes to 15/2

While

4 2/3 goes to 14/3

Now

15/2 multiply both numerator and denominator by 3 gives you 45/6

14/3 multiply both numerator and denominator by 2 gives you 28/6

Subtract 45/6 by 28/6= 17/6

Highest multiple of 6 in 17 is 12
12/6 + 5/6 = 2 5/6