# How do you simplify #(-7c)/(21c^2-35c)#?

##### 2 Answers

Sep 25, 2016

#### Explanation:

When dealing with algebraic fractions the first step is to factorise the numerator/denominator, if possible.

Here, the denominator has a

#color(blue)"common factor"# of 7c which can be taken out.

#rArr(-7c)/(7c(3c-5))# Now cancel, common factors on numerator/denominator.

#rArr(-cancel(7c)^1)/(cancel(7c)^1(3c-5))#

#=-1/(3c-5)#

Sep 25, 2016

#### Explanation:

With algebraic fractions, check first if they can be factored,