Rewrite rational expressions. Show all work and circle your answers.

Question

(1/y  +  1/2y+1) / (4y/2y+1)  thank you for your help.

Answer 1

(1/y+[1/2y+1])/(4y/[2y+1])

add the 2 terms in the numerator

(2y+1+y)/y(2y+1)

(3y+1)/y(2y+1)"divided by"4y/(2y+1) which becomes...

(3y+1)/y(2y+1)"times"(2y+1)4y

cancel the 2 (2y+1)'s

(3y+1)/y(4y)

(3y+1)/4y²