Question

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

Answer 1

Answer:

One third the difference between 3/4 and 2/3  is $(\frac{1}{36} )$

Step-by-step explanation:

One third the difference of A and B  =  $\frac{1}{3} \times (A-B)$

Here, as given in the question:

$A = \frac{3}{4} , B = \frac{2}{3} \\\implies A - B = \frac{3}{4} - \frac{2}{3}\\=(\frac{3 \times 3 -2 \times 4}{12}) = (\frac{9-8}{12} ) = (\frac{1}{12})\\ \implies A - B = (\frac{1}{12})$

Now, one third of the difference is :

$(\frac{1}{3}) \times (\frac{1}{12}) = (\frac{1}{36})$

Hence, one third the difference between 3/4 and 2/3  is $(\frac{1}{36} )$