How do you simplify y/(2y)+ (y+2)/y?

2 Answers
Jun 14, 2018

y/[2y] + [y+2]/y

=[y+2(y+2)]/[2y]

=[y+2y+4]/[2y]

=[3y+4]/[2y]

Jun 14, 2018

\frac{3y+4}{2y}

Explanation:

If you multiply and divide by 2 the second fraction we get

\frac{y}{2y}+\frac{2(y+2)}{2y} = \frac{y+2(y+2)}{2y} = \frac{y+2y+4}{2y}=\frac{3y+4}{2y}

If you prefer, you can break the fraction in two fraction by writing

\frac{3y+4}{2y} = \frac{3cancel(y)}{2cancel(y)}+\frac{cancel(4)^2}{cancel(2)y} = \frac{3}[2}+\frac{2}{y}.

It depends on your idea of "simplifying", as far as I know there is no standard definition for that term. Let me know if I'm wrong!