Question

I am doing Simplifying rational expressions its adding a fraction. I will attach the probem so you can see it clearer (:

Answer 1

Here it is :

Answer 2

hey dolly, still having trouble with rationals ?

Answer 3

ya >.<

Answer 4

can't open it

Answer 5

can u see the attachments all i see is links :P

Answer 6

Hmmmm ok then hold on (:

Answer 7

x^2 - 16 / 4x + (x - 4)

Answer 8

and the options are :

x + 4 / 4x

x + 1/ x

x - 4 / x

Answer 9

is it\[{x^2 - 16 \over 4x} + (x-4)\]

Answer 10

Yep!! (:

Answer 11

the lowest common denominator is 4x,
so you just find the equivalent form of x-4\[4x(x-4) \over 4x\]

Answer 12

so when you simplify it,

\[{x^2+4x^2 -16x -16 \over 4x } ={ 5x^2-16x -16 \over 4x}\]

Answer 13

Ohh so you factor the numerator and then they cancel out? >.< i think i might be confused ^^

Answer 14

I don't think the problem is right.
because the rational form only goes this much
and even if you do long division you still don't get
any answer from the choices you gave

Answer 15

Ya thats why i was stumped >.< but those are the exact answers they gave me

Answer 16

what do u think i should do? (:

Answer 17

Hmmm alright my teacher says to divide so will you help me with dividing them? (:

Answer 18

I am thinking that the problem is actually

\[{x^2-16 \over 4x(x-4)}\]

Answer 19

No it isnt i wish it was >.< my teacher said it was a typo and ur suppossed to divide... :P go figure lol

Answer 20

will u still help? (:

Answer 21

hmm, this one would be (x+4)/4x = 1/4 +1/x

Answer 22

okay, then let's just do long division

Answer 23

\[(x^2-16 \over 4x\]

Answer 24

can be written as follows

\[{x \over 4} - {4 \over x}\]

by long division

Answer 25

Wait so then it would have to be A or C right?

Answer 26

when you add x-4

you will get \[{x \over 4} - {4 \over x} +x-4\]

Answer 27

you can't go further

if you make it into one big fraction, it's the one with the 5x^2

Answer 28

Hmmm thats so strange!! why are all my problems like that!:P

Answer 29

even if you work from the answers none of them match

for example

x + 4/x =

\[x^2 +4 \over x\]

so it's not the answer

Answer 30

>.< That is frackin frustrating :P lol i gave u a medal tho cuz at least u tried (:

Answer 31

So then for the problem :

10a^2/7b^2 /
25a^3/14b^3

what would be the answer? (:

Answer 32

let's work one by one
the rational expression can be written as such by making a
division into a multiplication and taking the reciprocal

\[{10a^2 \over 7b^2}*{14b^3 \over 25 a^3}\]

Answer 33

now this is a lot easier,
the a's b's can cancel and 10 and 25 have something in common etc..

Answer 34

oh ya!!

Answer 35

you will end up having

\[2b \over 5a\]

Answer 36

oops, make that 4b/5a

Answer 37

ohhhh ya i just did that whole problem after u said u dont long divide im such a frickin blonde lol thanks!! i asked for help when i didnt even need it... figures :P lol

Answer 38

Ok i am retaking an assignment and i will prolly be checking or asking for help on here do you think you can help? (: or will ay least be on .... ?(:

Answer 39

unfortunately I need to go :(
Good luck though.

My advise is to take each step slowly
1), find LCD
2), make all rationals equivalent form with the LCD
3), add the numerators
4), once simplified, check if it factors
5), check if there is anything in common with the denominator

also, keep the denominator factored, because it would be an
extra step to expand it