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Mathematics 17 Online
OpenStudy (anonymous):

3/x+13/x-11

OpenStudy (anonymous):

\[\left[\begin{matrix}3 & 13 \\ x & x-11\end{matrix}\right]\]

OpenStudy (swag):

OpenStudy (andriod09):

are they fractions or are they dividends?

OpenStudy (anonymous):

there fractions being added.

OpenStudy (anonymous):

sorry forgot to write that

OpenStudy (anonymous):

i think it is \[\frac{3}{x}+\frac{13}{x-11}\] but i could be wrong

OpenStudy (anonymous):

in any case add fraction the same way you always do \[\frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bc}\]

OpenStudy (anonymous):

Thats exactly how you write it

OpenStudy (anonymous):

if i am right in the question, you should get \[\frac{3(x-11)+13x}{x(x-11)}\]which you can clean up with some algebra

OpenStudy (andriod09):

\[\frac{3}{x}+\frac{13}{x-11}\]\[\frac{3(x-11)+13x}{x^2-11}\] would that be right @satellite73

OpenStudy (anonymous):

if you multiply out in the denominator it will be \(x^2-11x\)

OpenStudy (anonymous):

Im really confused can you do it step by step?

OpenStudy (anonymous):

btw i made a typo above, it should be \[\frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd}\]

OpenStudy (anonymous):

@toriebabii did you see what i wrote above about adding fractions? it is the same way with variables as with numbers \[\frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd}\]

OpenStudy (anonymous):

in your case \(a=3,b=x,c=13,d=x-11\)

OpenStudy (anonymous):

put them directly in to the right hand side of the method for addition \[\frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd}\] with careful use of parentheses, and you will get the answer

OpenStudy (andriod09):

so then like mine said it would be: 3x+13x−11 \[\frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd}\]\[\frac{3}{x}\frac{13}{x-11}\]\[\frac{3(x-11)+13x}{x(x-11)}

OpenStudy (andriod09):

\[*\frac{3(x-11)+13x}{x(x-11)}*\]

OpenStudy (anonymous):

and thats the answer?

OpenStudy (andriod09):

no, now you simplify. \[\frac{3(x-11)+13x}{x(x-11)}\]\[\frac{3x-33+13x}{x^2-11}\]\[\frac{16x-33}{x^2-11}\] do you see anything wlse to do in this equation?

OpenStudy (andriod09):

i believe that would be the answer.

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