How do you simplify #\frac { 7} { 9} \cdot \frac { 4} { 13}#?

1 Answer
George C.
Sep 19, 2017

#7/9 * 4/13 = 28/117#

Explanation:

Before we multiply this together, note that #7#, #4 = 2^2#, #9 = 3^2# and #13# have no common prime factor. So the resulting fraction will have no factors that we can cancel in order to simplify it further.

So we find:

#7/9 * 4/13 = (7 * 4)/(9 * 13) = 28/117#

and #28/117# is in simplest form.

Related questions
Impact of this question
539 views around the world
You can reuse this answer
Creative Commons License