Addition of Fractions 2

harpazo

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TheJason

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

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

Cancel out stuff.

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

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

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

Cancel out stuff.

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

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You cannot multiply an expression by another expression and get an equivalent.

\(\displaystyle \frac{2}{x}+\frac{10}{2y}=\frac{2}{x}+\frac{5}{y}=\frac{5x+2y}{xy}\)
 
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harpazo

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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

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

harpazo

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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

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