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

Question

asked Jul 19, 2021 224k views

1 Answer

Gxyd · Answer 1 · 2021-07-24T18:47:41+0000

Answer:

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) )