Find 2 2/3 / 4 1/3 . simplify the answer and write as a mixed number if appropriate.

Turn both fractions to improper.

2 2/3 = multiply whole number by the denominator. which is 6. now add the numerator with 6. and this equals to 8. now use 8 as a numerator and keep the same denominator. so it should be 8/3. 

Do the same thing for 4 1/3 and you get 13/3.

now you both have improper fractions. 

= 8/3 divided by 13/3 . 

flip the second fraction, : 13/3, and this is called reciprocal. 

And turn the division sign to multiplication. 

= 8/3 x 3/13

multiply both numerators and denominators.

8 x 3 = 24 

3 x 13= 39

now you have 24 / 39

you can further simplify it. both are divisible by 3.

24 divided by 3 is 8

39 divided by 3 is 13

Now your fraction remain as: 8/13.

This is the farthest it can simplify. so your answer is 8/13.

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Ithink it is 7. 16