6th grade
posted by Bob .
Name a fraction that is less than 2/3 but greater than 1/2.

There may be other ways to work this but I would convert both 2/3 and 1/2 to a common denominator. That would be x/6
2/3 = 4/6
1/2 = 3/6
so 3.5/6 would be between the two; however, your teacher may not accept that since the numerator is a fraction. So what to do? Convert both 4/6 and 3/6 to a larger fraction, for example, x/12. Then
4/6 = 8/12
3/6 = 6/12,
Now 7/12 is between 6/12 and 8/12. Said another way,
7/12 is between 2/3 and 1/2. 
THANK YOU!!!