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Mathematics 22 Online
OpenStudy (kaylaprincess):

very EASY and SIMPLE question! check~

OpenStudy (kaylaprincess):

\[\frac{ 2x }{ x+4 } \times \frac{ 3x }{ 3x} = \frac{ 6x }{ 3x^2 + 12x }\] Why wouldn't this be right, I forgot?

Nnesha (nnesha):

you can simplify that remember it's 3x over 3x = ?

OpenStudy (kaylaprincess):

no sorry I should have added more, 3 over 3 is my common denominator i'm using

OpenStudy (kaylaprincess):

my bad about the confusion.

Nnesha (nnesha):

post the original question first plz

OpenStudy (kaylaprincess):

alright one moment

OpenStudy (kaylaprincess):

Here we are

OpenStudy (kaylaprincess):

but i was told the answer was this? {7x^2 + 3x - 4}/{3x^2 + 12x}

Nnesha (nnesha):

only 3x isn't the common denominator both fractions hve different denominator so multiply them that would be the common denominator

OpenStudy (kaylaprincess):

im so confused now

OpenStudy (kaylaprincess):

This is what I was shown to do

OpenStudy (kaylaprincess):

Answer

Nnesha (nnesha):

i'll give you an example \[\frac{ a }{ b } +\frac{ c }{ d }\] b d both are common denominator

Nnesha (nnesha):

ahh i see so they divided into 2 step

Nnesha (nnesha):

\(\color{blue}{\text{Originally Posted by}}\) @kaylaprincess \[\frac{ 2x }{ x+4 } \times \frac{ 3x }{ 3x} = \frac{ 6x }{ 3x^2 + 12x }\] Why wouldn't this be right, I forgot? \(\color{blue}{\text{End of Quote}}\) now multiply the numerator and denominator by x+4 so basically they separatd one step into 2

OpenStudy (kaylaprincess):

\[\frac{ 6x }{ 3x^2 + 12 } \times \frac{ x + 4 }{ x + 4 } = \]

OpenStudy (kaylaprincess):

like that?

Nnesha (nnesha):

yes right so 3x and x+4 both are common denominator

Nnesha (nnesha):

or one step \[\huge\rm \frac{ 2x(3x)-(x-1)(x+4) }{ 3x(x+4)}\]

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