# How do you combine #3/y+2/(y-6)#?

##### 2 Answers

#### Explanation:

#=(3(y-6)+(2y))/(y(y-6))#

#=(3y-18+2y)/(y(y-6))#

#=(5y-18)/(y(y-6))#

Mar 17, 2018

#### Explanation:

#"to combine the fractions we require them to have a "#

#color(blue)"common denominator"#

#"the common denominator is "y(y-6)#

#"this means multiplying the numerator/denominator of"#

#3/y" by "(y-6)" and "2/(y-6)" by y"#

#rArr(3(y-6))/(y(y-6))+(2y)/(y(y+6))#

#"now simplify the numerator leaving the denominator"#

#=(3y-18+2y)/(y(y-6))=(5y-18)/(y(y-6))#