Question

2 and 2 thirds divided by 4

Answer 1

2 2/3 can be written as 8/3. 4 can be written as 4/1. 
We use KCF (Keep. Change. Flip.) 
We keep 8/3 as 8/3. 
We change the dividing sign to its opposite which is a multiplication sign. 
We flip the 4/1. You put the reciprocal of 4/1 (1 divided by that number. A trick to get the reciprocal is to just make the numerator the denominator and the denominator the numerator.) The reciprocal is 1/4
8/3 times 1/4 is 8/12 which is simplified to 2/3
2 2/3 divided by 4= 2/3

Answer 2

 Change the mixed fraction to an improper fraction.  Multiply 2 by 3 and add 2 to get 8.  Put the 8 over 3.  Now you can multiply
$2 \frac{2}{3}$ = $\frac{8}{3}$

To divide the fraction, multiply the reciprocal, or opposite of the number(4 turns to 1/4)

You could multiply acros to get 8/12 and simplify to 2/3.  Or you could cross simplify.
$\frac{8}{3}$×$\frac{1}{4}$= 2/3

Your answer is $\frac{2}{3}$