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avatar+42 

2n^2 divided by 2n ?

 

equals to 2? or 2n?

Virax1o1  Jun 1, 2017

Best Answer 

 #1
avatar+4174 
+3

\(\frac{2n^2}{2n} \\~\\ =\frac{2\,\cdot \, n\,\cdot \, n}{2\,\cdot\, n}\)

 

The   2's   in the numerator and denominator cancel.

 

\(=\frac{\not2\,\cdot \, n\,\cdot \, n}{\not2\,\cdot\, n} \\~\\ =\frac{n\,\cdot \, n}{n}\)

 

The   n's   in the numerator and denominator cancel.

 

\(=\frac{n\,\cdot\, \not{n}}{\not{n}} \\~\\ =n\)

 

(Also, when we canceled the n from the denominator we should say n ≠ 0 )

hectictar  Jun 1, 2017
edited by hectictar  Jun 1, 2017
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10+0 Answers

 #1
avatar+4174 
+3
Best Answer

\(\frac{2n^2}{2n} \\~\\ =\frac{2\,\cdot \, n\,\cdot \, n}{2\,\cdot\, n}\)

 

The   2's   in the numerator and denominator cancel.

 

\(=\frac{\not2\,\cdot \, n\,\cdot \, n}{\not2\,\cdot\, n} \\~\\ =\frac{n\,\cdot \, n}{n}\)

 

The   n's   in the numerator and denominator cancel.

 

\(=\frac{n\,\cdot\, \not{n}}{\not{n}} \\~\\ =n\)

 

(Also, when we canceled the n from the denominator we should say n ≠ 0 )

hectictar  Jun 1, 2017
edited by hectictar  Jun 1, 2017
 #2
avatar+42 
+1

i mean dividing 2n^2 to 2n. Lol

not in somewhat fraction form.

 

ok, for example dividing 10 to 5 = 2

i meant literally simple way..

 

sorry for that because i can't even explain this one :P

Virax1o1  Jun 1, 2017
 #3
avatar+75376 
+2

 

Guest.....you are just dividing  "horizontally"......in essence, hectictar is doing the very same thing in a "fraction" form

 

10        and      10 / 2         are exactly the same thing....

 2

 

 

 

cool cool cool

CPhill  Jun 1, 2017
 #4
avatar+42 
+1

for some reason im answering a rational equation right now

 

in rational equation, you have to find the LCD right? for example the LCD was = 2n^2

 

the equation was :

n-6/2n

 

so the first thing to do is to divide the LCD to denominator

 

so it will end up like : 2n^2 divide  2n

 

Now my problem is how do i divide 2n^2 to 2n?

 

the possible anser be like : 2n or 2?

 

now it would look like : 2n(n-6) or 2(n-6)

 

I hope it is now clearer than before :D

btw tnx for you guys hardwork :)

Virax1o1  Jun 1, 2017
 #5
avatar+75376 
+1

Why don't you post the problem????......we'll take a look at it.....

 

 

 

 

cool cool cool

CPhill  Jun 1, 2017
 #6
avatar+4174 
+2

n - 6/2n

 

Is this the problem?

If it is..it that exactly how it is written? Or is it

 

n - 6/(2n)

 

smiley

hectictar  Jun 1, 2017
 #7
avatar+42 
+2

it was exactly written like: (n-6)/(2n), LCD=2n^2

 

then im about to divide the LCD (which is 2n^2) to Denominator (which is 2n)

 

im wondering what would be the answer after i divide them both??

 

is it 2n or 2 ???

 

i was doing rational equation btw

Virax1o1  Jun 1, 2017
 #8
avatar+4174 
+5

If this is exactly as the question is written...

(n - 6) / (2n)

 

This is also

 

=   n / (2n)   -   6 / (2n)

 

We can reduce the first fraction by n .

=   1 / 2        -   6 / (2n)

 

We can reduce the second fraction by 2.

=   1 / 2        -   3 / n

 

..........

I don't really know what you mean by " divide the LCD " .  Why do you want to divide the LCD ?

Is that what the instructions tell you to do?

 

Maybe the problem is

 

n - 6 / (2n)           ?

 

Reduce the second fraction by 2.

 

=   n - 3/n

 

We can get the LCD by multiplying the first term by n/n ,

which gives us

 

=   n2 / n   -   3 / n

 

=   (n2 - 3) / n

 

....

BTW, I see you became a member! Welcome aboard! smiley

hectictar  Jun 1, 2017
edited by hectictar  Jun 1, 2017
 #9
avatar+42 
+2

Sorry for late reply i'm just having a mini break lately xD

i think you're right and yeah my intructor told me to do that..

 

Does in prime factorization also have "dividing LCD thing?" just our topic lately.

maybe i mistaken it for rational equation?

idk why but i can't just tell her about this lol

i'm actually having a summer tutorial in math tho

now with some bunch of paperworks..

 

Btw. thanks for help! it helped a TON!!

Virax1o1  Jun 1, 2017
 #10
avatar+4174 
+2

Sometimes taking a little break definitely helps!

 

Hmmm, I don't really know if prime factorization has to do with the LCD ...

 

I'm glad it helped!  smiley

hectictar  Jun 1, 2017

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