# How do you write the mixed expression #(d-6)+(d+1)/(d-7)# as a rational expression?

##### 1 Answer

Apr 13, 2017

#### Explanation:

We require to multiply

#(d-6)" by " (d-7)/(d-7)#

#rArr((d-6)(d-7))/(d-7)+(d+1)/(d-7)# The fractions now have a

#color(blue)"common denominator"# so we can add the numerators while leaving the denominator as it is.

#rArr(d^2-13d+42+d+1)/(d-7)#

#=(d^2-12d+43)/(d-7)larrcolor(red)" rational expression"#