# Question #21119

##### 1 Answer

#### Explanation:

Write the fractions like this:

#(-5)/6 * 4/7#

Neither fraction can be simplified any more, since 5 and 6 have no common factors, and 4 and 7 have no common factors (other than 1). However, when combining fractions, you can remove a factor from the top of *one* fraction if the same factor can be removed from the bottom of the *other* fraction.

In this case, the bottom of the first fraction and the top of the second fraction both have a common factor of

#(-5)/(3 xx 2) * (2 xx 2)/7#

#(-5)/(3 xx cancel2) * (cancel2 xx 2)/7#

#(-5)/(3) * (2)/7#

Now, we have no more common factors to get rid of, so just multiply the tops and bottoms of the two fractions together to get the answer:

#(-5 xx 2)/(3 xx 7)#

#(-10)/21#

*Final Answer*