#### harpazo

##### Pure Mathematics
Banned #### TheJason

Staff member
Moderator
$$\displaystyle \dfrac{2}{x} + \dfrac{10}{2y}$$

$$\displaystyle \dfrac{(2)(2y) + (x)(10)}{(x)(2y)} = \dfrac{(2)(2y)}{(x)(2y)} + \dfrac{(x)(10)}{(x)(2y)}$$

Cancel out stuff.

$$\displaystyle \dfrac{2}{x} + \dfrac{10}{2y}$$

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#### harpazo

##### Pure Mathematics
Banned
$$\displaystyle \dfrac{2}{x} + \dfrac{10}{2y}$$

$$\displaystyle \dfrac{(2)(2y) + (x)(10)}{(x)(2y)} = \dfrac{(2)(2y)}{(x)(2y)} + \dfrac{(x)(10)}{(x)(2y)}$$

Cancel out stuff.

$$\displaystyle \dfrac{2}{x} + \dfrac{10}{2y}$$ #### MarkFL

##### La Villa Strangiato
Staff member
Moderator
Math Helper
You cannot multiply an expression by another expression and get an equivalent.

$$\displaystyle \frac{2}{x}+\frac{10}{2y}=\frac{2}{x}+\frac{5}{y}=\frac{5x+2y}{xy}$$

• harpazo and anemone

#### harpazo

##### Pure Mathematics
Banned
You cannot multiply an expression by another expression and get an equivalent.

$$\displaystyle \frac{2}{x}+\frac{10}{2y}=\frac{2}{x}+\frac{5}{y}=\frac{5x+2y}{xy}$$
Thanks for correcting me. You now know why an extensive algebra review is needed.

#### TheJason

Staff member
Moderator
Oh, wait! I just now noticed I got the same answer as where I started!

#### harpazo

##### Pure Mathematics
Banned
Oh, wait! I just now noticed I got the same answer as where I started!
Don't worry about it. I messed up, too. I need a serious review of algebra. I purchased a college algebra textbook by Michael Sullivan. I will post many algebra questions after completing my trigonometry self-study.

#### harpazo

##### Pure Mathematics
Banned
Oh, wait! I just now noticed I got the same answer as where I started! 