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Mathematics 8 Online
OpenStudy (anonymous):

what is the simplified form of x/2 divided by 4/2x

OpenStudy (ivettef365):

when you divide fractions, you switch the second fraction and multiply, so you have x 2x ----- x ------ 2 4

OpenStudy (anonymous):

so itll be 4x/4x ? i multiplied

OpenStudy (ivettef365):

when you multiply (x)(2x) = ???

OpenStudy (ivettef365):

to multiply is NOT crossing

OpenStudy (anonymous):

or 2x^2/8 ? which will equal x^2/4 ?

OpenStudy (ivettef365):

good job

OpenStudy (anonymous):

thanks, so when do you cross multiply ?

OpenStudy (anonymous):

with an equation like this

OpenStudy (ivettef365):

you cross multiply when you have a proportion, it would look like this just an example x 2x ----- = ------ 2 4

OpenStudy (anonymous):

ohhh thanks

OpenStudy (ivettef365):

the equal sign is telling you is a proportion then you cross multiply

OpenStudy (anonymous):

yea yea, i see.

OpenStudy (ivettef365):

yw :)

OpenStudy (anonymous):

how do i ask another question on this website lol ?

OpenStudy (ivettef365):

just ask me

OpenStudy (anonymous):

oh alright, ummm. What is the simplified form of 3/x-2/y divided by 3/x+2/y

OpenStudy (ivettef365):

can you write it in a better format ??

OpenStudy (anonymous):

3 2 3 2 --- - --- divided by --- + --- x y x y

OpenStudy (ivettef365):

ok, first lets do the subtraction, so you have 3 2 3y-2x ---- - ----- = ------ x y xy

OpenStudy (ivettef365):

do you understand what I did ??

OpenStudy (anonymous):

how did the top get " 3y-2x" and the bottom got "xy" ?

OpenStudy (ivettef365):

ok, same as when you add a fraction, common denominator (xy) so you have 3(y) -2(x) _____________ xy

OpenStudy (anonymous):

so you crossed multiplied ? to get "3y" ? and "2x" ?

OpenStudy (ivettef365):

when you add a fraction, and you have 9 3 9(3) - 3(4) ----- - ---- = -------------- 4 3 (4)(3) (common denominator 12)

OpenStudy (ivettef365):

you see it ?

OpenStudy (anonymous):

yea i see it , sorta lol

OpenStudy (ivettef365):

ok so lets do the other fraction, you have 3 2 3y + 2x ---- + ---- = ------------ x y xy

OpenStudy (ivettef365):

are you with me

OpenStudy (anonymous):

yup

OpenStudy (ivettef365):

ok so you have fractions 3y - 2x 3y+2x -------- divided by ---------- xy xy

OpenStudy (anonymous):

yes, now how would you divid that ?

OpenStudy (anonymous):

divide*

OpenStudy (ivettef365):

now switch the second fraction so you have 3y - 2x xy --------- x ----------- xy 3y + 2x

OpenStudy (ivettef365):

yes that is what I meant divide

OpenStudy (ivettef365):

do you know how to multiply this ??

OpenStudy (anonymous):

no not really, sorry

OpenStudy (ivettef365):

before you multiply you need to simplify, what is on the top and bottom can cancel, so what is the same on top an bottom??

OpenStudy (anonymous):

the x and the y

OpenStudy (ivettef365):

ok, so now you going to have the following 3y-2x 1 ------ x -------- 1 3y+2x

OpenStudy (ivettef365):

now you can multiply, what do you get?

OpenStudy (anonymous):

3y-2x ----- 3y+2x

OpenStudy (ivettef365):

good job

OpenStudy (anonymous):

thankssss

OpenStudy (ivettef365):

yw :)

OpenStudy (anonymous):

i have more questions lol

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