Write down a fraction that lies halfway between 1/3 and 1/2

You need to find a common denominator. I would use 6 first.

1/3 is equivalent to 2/6. 1/2 is equivalent to 3/6. It is still difficult to find the median between the two so I would try 12 as a common denominator.

1/3 is equivalent to 4/12, and 1/2 is equivalent to 6/12. Therefore, the halfway point would be:

5/12