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Mathematics 15 Online
OpenStudy (anonymous):

**really quickly need help!!! simplify complex expression!

OpenStudy (anonymous):

OpenStudy (anonymous):

I know the process somewhat on how to solve it!

OpenStudy (anonymous):

@iambatman could you help with this?

OpenStudy (anonymous):

@sammixboo ? i am just tagging people who have high statuses next to their name lol sorry!

ganeshie8 (ganeshie8):

have you tried multiplying top and bottom by "x" ?

OpenStudy (anonymous):

no! is that the LCD?

OpenStudy (anonymous):

i know you find the LCD and then from there you multiply each but i cant figure out the LCD.

ganeshie8 (ganeshie8):

if it helps think of 1 as 1/1 and 4 as 4/1

ganeshie8 (ganeshie8):

\[\large \dfrac{~~1+\frac{2}{x}~~}{4-\frac{6}{x}}\] is same as \[\large \dfrac{~~\frac{1}{1}+\frac{2}{x}~~}{\frac{4}{1}-\frac{6}{x}}\]

OpenStudy (anonymous):

okay, but how would i start to solve when i cant solve them without the same denominator?

ganeshie8 (ganeshie8):

thats right! you need same thing on denominator to add fractions

OpenStudy (jhannybean):

\[\large \dfrac{~~1+\frac{2}{x}~~}{4-\frac{6}{x}} \cdot \frac{x}{x}\]

OpenStudy (anonymous):

okay! haha thats the part im having diffculties with.

OpenStudy (jhannybean):

You can eliminate the x's much faster

OpenStudy (anonymous):

okay so by multiplying by x are you canceling out the x completely?

OpenStudy (jhannybean):

Distribute it to all the terms in the numerator and denominator

OpenStudy (anonymous):

okay so |dw:1420791669996:dw|

OpenStudy (anonymous):

for the top? is that correct?

OpenStudy (jhannybean):

\[\large \dfrac{~~1+\frac{2}{x}~~}{4-\frac{6}{x}} \cdot \frac{x}{x} = \frac{(1+\frac{2}{x})\cdot x}{(4-\frac{6}{x})\cdot x } \]

OpenStudy (jhannybean):

No it is not,

OpenStudy (anonymous):

agh then im confused.

OpenStudy (anonymous):

what do you do with multiplying by x?

OpenStudy (jhannybean):

what is \((1)(x)\) and \(\dfrac{2}{x} \cdot x\)?

OpenStudy (anonymous):

im just seeing what i got above! haha

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