Question 322408
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I'm going to presume you mean:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \left(1\ -\ \frac{3}{x}\right)\ \div\ \left(\frac{x\ -\ 9}{x}\right)]


Use plenty of parentheses next time so that your meaning is clear.


To divide one fraction by the other, use the same procedure they taught you in elementary school; invert and multiply:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \left(1\ -\ \frac{3}{x}\right)\ \times\ \left(\frac{x}{x\ -\ 9}\right)]


Apply the LCD of *[tex \LARGE x] to the expression on the left:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \left(\frac{x\ -\ 3}{x}\right)\ \times\ \left(\frac{x}{x\ -\ 9}\right)]


Multiply numerator times numerator and denominator times denominator:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{x(x\ -\ 3)}{x(x\ -\ 9)}]


Eliminate factors common to both numerator and denominator:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{x\ -\ 3}{x\ -\ 9}]


And that's all you can do with this one.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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