# How do you write the mixed expression #r+1/(3r)# as a rational expression?

##### 1 Answer

Nov 15, 2017

#### Answer:

#### Explanation:

#"before we can add the 2 fractions we require them to"#

#"have a "color(blue)"common denominator"#

#"to obtain this multiply the numerator/denominator of"#

#r" by "3r#

#rArrr/1xx(3r)/(3r)=(3r^2)/(3r)#

#rArrr+1/(3r)#

#=(3r^2)/(3r)+1/(3r)larrcolor(blue)"common denominator of 3r"#

#"add the numerators leaving the denominator as it is"#

#=(3r^2+1)/(3r)#