Question

Is 1/3 greater than 1\2

Answer 1

No, 1/3 of 100 would be 33.33 and 1/2 of 100 would be 50 so 1/2 is bigger. :)

Answer 2

In order to figure this out you have to make common denominators
 
What is the smallest multiple (a number that can be divided by another without a remainder) that 3 and 2 have in common?

6 is a multiple they have in common, now make it so that the fractions have 6 as the denominator:

 1   *   2         2
---            =   ---
 3   *   2         6

(*whatever you do to the bottom, do to the top!)

 1   *   3         3
---             =  --- 
 2   *   3         6

Now compare:

 2                                     3
--- is bigger/smaller than ---
 6                                     6

(*Remember, 2/6 is 1/3 and 3/6 is 1/2)

3/6 is bigger so that means 1/3 is smaller than 1/2 not greater