when you are dividing two fractions, such as the one you have, you can simply flip the second one and multiply. so you have 1/27 over 1/64.
you can make that 1/27 x 64/1 to get 64/27. remember to put your answer in lowest terms, im sure thats how ur teacher wants it.
This is the dividing one fraction by another
the rule to know when you have something like this is to turn it into a multiplication question. you do this by bringing up the denominator and flipping it. It is kind of hard to explain but I will do my best to show you: you start with 1/27/1/64, so you are dividing 1/27 by 1/64. you take the denominator(bottom part of fraction) which in this case is a fraction 1/64 flip it to be 64/1 and multiply it by 1/27.
which looks like this 1/27 x 64/1 = 64/27
to sum up here is what it would look like:
1/27/1/64 = 1/27÷ 1/64 = 1/27 x 64/1 = 64/27
hope this helps and that I didn't do a horrible job of trying to explain.
64/27 would go into a mixed fraction would be 2 10/27 that is correct. Like I said if you switch it then it is 64/27 which ends up being 2 10/27 that is correct. because 27 goes into 64 2 times making a total of 54 with 10/27 left over. Whole number 2 10/27.
27 the denominator times 2 =54 + 10 the numerator gives you 64 this is how you check it. 64/27 turns into 2 10/27 the answer in lowest terms.