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Mathematics 8 Online
OpenStudy (anonymous):

Anyone want to please help?:)

OpenStudy (anonymous):

After \[\frac{ x+1 }{ 3 }-\frac{ x+2 }{ 2x }\] have been combined using the Least Common Denominator of 6x, what is the numerator?

OpenStudy (anonymous):

Answer choices: a. 2x2 - x + 2 b. -2x2 - x + 3 c. 2x2 - x - 6 d. -x2 + x + 3

OpenStudy (anonymous):

how can you make appear 6x in the denominator?

OpenStudy (anonymous):

Multiply it.

OpenStudy (anonymous):

I tried working the problem out but the answer I got is different from the answer choices

OpenStudy (anonymous):

nice ..so what is the numbers you need to multiply both of those 2?

OpenStudy (anonymous):

with what should you multiply each of those 2 fractions?

OpenStudy (anonymous):

This is what I did: \[2x(x+2) - 3(x+1)\] \[2x ^{2}+4x-3x-3\] \[2x ^{2}+x-3\]

OpenStudy (anonymous):

hmm lets start from the 1st (left fraction) ...what you need to multiply it with so that 6x appears in the denominator?

OpenStudy (anonymous):

2x and 3 but wouldn't that give me -6?

OpenStudy (anonymous):

2x(x+1)-3(x+2) right?

OpenStudy (anonymous):

you wrote 2x(x+2) - 3(x+1) i dont know why

OpenStudy (anonymous):

I wrote it like that because I figured that was it's place because the original equation is \[\frac{ x+1 }{ 3 }-\frac{ x+2 }{ 2x }\]

OpenStudy (anonymous):

if you multiply the left fraction by 2x what do you take for the left fraction?

OpenStudy (anonymous):

sorry multiply by 2x/2x

OpenStudy (anonymous):

\[4x ^{2}\]

OpenStudy (anonymous):

no i mean \[\frac{ 2x }{ 2x }\]

OpenStudy (anonymous):

oh sorry!! 1

OpenStudy (anonymous):

no multiply \[\frac{ 2x }{ 2x }\] with\[\frac{ x+1 }{ 3 }\]what do you take?

OpenStudy (anonymous):

\[\frac{ 2 }{ 2 }* \frac{ x+1 }{ 3 } ............. \frac{ 2x+2 }{ 6 }\]

OpenStudy (anonymous):

\[\frac{ 2x(x+1) }{ 2x*3}\]

OpenStudy (anonymous):

you need to have 6x in the denominator

OpenStudy (anonymous):

Oh true true I didn't plug in the x in there

OpenStudy (anonymous):

nice that you understood that :p now make the same with the second fraction on the right... multiply that with \[\frac{ 3 }{ 3}\]

OpenStudy (anonymous):

\[\frac{ 3 }{ 3 }* \frac{ x+2 }{ 2x }....\frac{ 3x+6 }{ 6x }\]

OpenStudy (anonymous):

now what do we have for the 2 fractions?

OpenStudy (anonymous):

\[\frac{ 3x+6 }{ 6x } ? \frac{ 2x+2 }{ 6x }\]

OpenStudy (anonymous):

would it be minus?

OpenStudy (anonymous):

you put the second fraction on the left side and the first on the left..why you reversed them?

OpenStudy (anonymous):

put the fraction we found first minus the fraction we found second

OpenStudy (anonymous):

can i ask where are u stuck?

OpenStudy (anonymous):

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

OpenStudy (anonymous):

Or would it be -6?

OpenStudy (anonymous):

its -(3x+6) so it would be -6

OpenStudy (anonymous):

I see!! Damn Thanks!!!

OpenStudy (anonymous):

you understood the procedure?:p

OpenStudy (anonymous):

Yes, wow thanks a lot!!:)

OpenStudy (anonymous):

nice,np at all

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