How do you simplify $\frac{y}{2 y} + \frac{y + 2}{y}$ $y/(2y)+ (y+2)/y$ ?

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How do you simplify $\frac{y}{2 y} + \frac{y + 2}{y}$ $y/(2y)+ (y+2)/y$ ?

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Answer 1 · 2018-06-14T07:31:49

$\frac{y}{2 y} + \frac{y + 2}{y}$ $y/[2y] + [y+2]/y$

$= \frac{y + 2 (y + 2)}{2 y}$ $=[y+2(y+2)]/[2y]$

$= \frac{y + 2 y + 4}{2 y}$ $=[y+2y+4]/[2y]$

$= \frac{3 y + 4}{2 y}$ $=[3y+4]/[2y]$

Answer 2 · 2018-06-14T07:33:37

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

Explanation:

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

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

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!

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How do you simplify $\frac{y}{2 y} + \frac{y + 2}{y}$ $y/(2y)+ (y+2)/y$ ?

2 Answers

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