How do you simplify #(5-2m)/(6m-15)#?

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Answer 1 · 2015-08-21T03:00:21

The answer is #-1/3# .

#(5-2m)/(6m-15)#

Factor out #3# from the denominator.

#(5-2m)/(3(2m-5)#

Factor out the negative sign in the numerator.

#-(-5+2m)/(3(2m-5)#

Rearrange the numerator.

#-(2m-5)/(3(2m-5)#

Cancel #2m-5# from the numerator and denominator.

#-(cancel(2m-5))/(3(cancel(2m-5))##=#

#-1/3#