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Mathematics 11 Online
OpenStudy (anonymous):

3/x + 2/x+2 ALL OVER 3/x+2 - 2/x please help simplify

OpenStudy (anonymous):

\[\frac{\frac{3}{x} + \frac{2}{x+2}}{\frac{3}{x+2}-\frac{2}{x}}\]

OpenStudy (anonymous):

I was about to ask if I understood correctly, but you have already answered that.

OpenStudy (anonymous):

First, you will need common denominators.

OpenStudy (anonymous):

how do i do this?

OpenStudy (anonymous):

Do you not understand common denominators or not understand how that applies to this problem?

OpenStudy (anonymous):

do i multiply the left fraction by 2x and the right by x all in the numerator?

OpenStudy (anonymous):

Almost. You multiply the fractions with x for a denominator by \(\frac{x+2}{x+2}\) and the fractions with x+2 as a denominator by \(\frac{x}{x}\).

OpenStudy (anonymous):

ya thats what i meant

OpenStudy (anonymous):

|dw:1374543714580:dw|

OpenStudy (anonymous):

Yes. Remember to do the same to the fractions in the denominator as well.

OpenStudy (anonymous):

|dw:1374543885638:dw|

OpenStudy (anonymous):

yes, but you will want to distribute in the numerators. The distribution in the denominators will be a waste of time.

OpenStudy (anonymous):

Hero's version is much more visually appealing and may be easier to understand.

OpenStudy (anonymous):

|dw:1374543961702:dw|

OpenStudy (anonymous):

Combine like terms.

OpenStudy (anonymous):

6x^2 + 12x over x^2 + 2x ALL OVER -6x^2 - 12x over x^2 + 2x?

OpenStudy (anonymous):

\[\frac{3x+6+2x}{x^2+2x}\div\frac{3x-2x+4}{x^2+2x}\]

OpenStudy (anonymous):

howd you get that?

OpenStudy (anonymous):

|dw:1374544231999:dw|

OpenStudy (anonymous):

5x + 6/x^2 + 2x over x - 4/X^2 + 2x?

OpenStudy (anonymous):

Recheck your signs.

OpenStudy (anonymous):

3x-2x+4

OpenStudy (anonymous):

the second equation is negative so its -4 right?

OpenStudy (anonymous):

Sorry, I got bumped. This website doesn't seem to like me....

OpenStudy (anonymous):

Yes, your right.

OpenStudy (anonymous):

I forgot to distribute. Sorry.

OpenStudy (anonymous):

\[\frac{5x+6}{x^2+2x}\div\frac{x-4}{x^2+2x}\]

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