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Mathematics 15 Online
OpenStudy (anonymous):

i need some math help

OpenStudy (anonymous):

OpenStudy (e.mccormick):

You need a common denminator. That means multiplying the bottom parts so that they match. Hwever, if you multiply the bottom of a fraction, you must multiply the top by the same thing. Do you know hoe to do that or do you need an example?

OpenStudy (anonymous):

example pls

OpenStudy (e.mccormick):

The basic example is: \[\frac{1}{2}-\frac{1}{3}\Rightarrow \frac{1\times 3}{2\times 3}-\frac{1\times 2}{3\times 2}\Rightarrow \frac{3}{6}-\frac{2}{6}\Rightarrow \frac{3-2}{6}= \frac{1}{6}\] Now, in your case you have \((x-3)\) and \((x-2)\) on the bottom. Those are what determine how you need to multiply.

OpenStudy (e.mccormick):

So, do you see what needs to be multiplied by what, or are you still lost?

OpenStudy (anonymous):

well i get that but the only thing i can choose is this

OpenStudy (anonymous):

OpenStudy (e.mccormick):

Once you start with these, there is usually simolification and ther things that happen. So getting the first step right is very important.

OpenStudy (e.mccormick):

That is fine. Those are simplified choices. If you look at what I did with basic fractions and apply it here, the first step is this: \[\frac{3}{x-3}\cdot \frac{x-2}{x-2} - \frac{5}{x-2}\cdot \frac{x-3}{x-3}\]So what happens when you multiply those out? They left the bottom with it as \((x-3)(x-2)\) so there is not much work to do there. The top you need to actually multiply, then subtract the entire right part from the left part.

OpenStudy (anonymous):

thank you soooooo much!!!!

OpenStudy (e.mccormick):

So, do you see how to do this?

OpenStudy (anonymous):

ya

OpenStudy (e.mccormick):

Just be careful with the subtraction part. That negative goes trough the entire right top! That will change the signs.

OpenStudy (anonymous):

ok :)

OpenStudy (e.mccormick):

And if you have a guess, I can tell you if it is right.

OpenStudy (anonymous):

thanks but i got it and thank you for the help

OpenStudy (e.mccormick):

np. Have fun!

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