The problem here is to divide and

To start, we first need to convert both fractions to improper fractions.

To convert to an improper fraction:

multiply the 8 (the denominator), and the 1 (the whole number). To this product, add the 5 (the numerator)
giving 13, to form the new numerator, and use the 8 as the new denominator.

So, as an improper fraction is

To convert to an improper fraction:

multiply the 27 (the denominator), and the 5 (the whole number). To this product, add the 9 (the numerator)
giving 144, to form the new numerator, and use the 27 as the new denominator.

So, as an improper fraction is

The problem here is to divide and

This problem can be solved by multiplying by the reciprocal of

To find the reciprocal of

Simply exchange the numerator and denominator, or just "flip" the fraction
upside-down.

The reciprocal of is

The problem here is to multiply and

This problem can be solved by multiplying together the two numerators (the 13 and 27),
giving 351, which will be the numerator in our answer.

Also, we'll multiply together the two denominators (the 8 and 144),
giving 1152, which will be the denominator in our answer.

Doing so, we get an answer of

The fraction is not reduced to lowest terms. We can reduce this fraction to lowest
terms by dividing both the numerator and denominator by 9.

Why divide by 9? 9 is the Greatest Common Divisor (GCD)
or Greatest Common Factor (GCF) of the numbers 351 and 1152.
So, this fraction reduced to lowest terms is

The final answer is: