1/2 of 2/3 is the same as saying 1/2 multiplied by 2/3.
(1/2) x (2/3) I have simply put in brackets so as not to get confused
= (1x2) / (2x3)
= 2 / 6
This can then be simplied as 2 and 6 both have a common factor of 2 (this means that both 2 and 6 can be divided by 2 and still remain whole numbers)
2 / 6
= (1x2) / (3x2)
= (1 / 3) x (2 / 2)
And since 2/2 is the same as saying 1 (i.e. 2/2 = 1 )
So the answer is,
(1 / 3) x (2 /2)
= 1/3