Question

What is one third the difference between 3/4 and 2/3?

Answer 1

One third the difference between 3/4 and 2/3 is
`((1)/(36) )`

Explanation:

One third the difference of A and B =
`(1)/(3) * (A-B)`

Here, as given in the question:

`A = (3)/(4) , B = (2)/(3) \\\implies A - B = (3)/(4) - (2)/(3)\\=((3 * 3 -2 * 4)/(12)) = ((9-8)/(12) ) = ((1)/(12))\\ \implies A - B = ((1)/(12))`

Now, one third of the difference is :

`((1)/(3)) * ((1)/(12)) = ((1)/(36))`

Hence, one third the difference between 3/4 and 2/3 is
`((1)/(36) )`