# How do you simplify #(5y-15)/(3y-9)#?

##### 1 Answer

#### Explanation:

Your goal here is to see if you can find some *common factors* to simplify.

Right from the start, the fact that we have

#color(purple)("multiple of "y - "something")#

in the numerator * and* in the denominator is promising. Start by looking at the numerator. Notice that you can write

#15 = 5 * 3#

You are now working with

#5 * y - 5 * 3#

Since

#5 * (y - 3)#

Now focus on the denominator. Notice that you can write

#9 = 3 * 3#

Your denominator can thus be written as

#3 * y - 3 * 3#

Since

#3 * (y - 3)#

Put the fraction back together and simplify to get

#(5 * color(red)(cancel(color(black)((y-3)))))/(3 * color(red)(cancel(color(black)((y-3))))) = 5/3#

Keep in mind that you need to have