Comments on: Addition…?

By: Sean

Sean — Wed, 07 Oct 2009 04:22:59 +0000

3/(4z^3) + 1/(6z^2)

= [3*3 + 2z]/[12z^3]

= [9+2z]/[12z^3]

It is brought to a common denominator, that is to say 12z^3, but I am not sure about being simplified.
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By: The Game

The Game — Wed, 07 Oct 2009 03:59:59 +0000

what??
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By: Cameron

Cameron — Wed, 07 Oct 2009 03:10:59 +0000

The hardest part is getting the least common denominator. In your case, 12 as a number is the LCM of 4 and 6. Then, you also need the most, or highest power of, number of z’s. In the first fraction, we have 3. So, the LCD is 12z^3. Now, on top you most multiply by whatever you seemingly "added" to the bottom. For the one on the left you need a 3 and the one on the right you need a 2z.

Therefore, you end up with (9+2z)/(12z^3). In this case, you can not simplify at all!
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By: Qwerty Q

Qwerty Q — Wed, 07 Oct 2009 02:31:59 +0000

remember, addition and subtraction need you to make the denominator the same. but whatever you do to the denominator, you have to do to the numerator too.

so:

3 x 3……………………1 x 2
________………+….________
(4z^3) x 3……………..(6x^2) x 2

….9………………………….2
_____………+……….._______
12z^3…………………….12z^2

the denominators need to be balanced, then you can simply add the numerators.
i don’t think it can get any more simplified than this.
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