Question

Add or Subtract.
6/7x +1/4

Answer 1

you cant them together, they are not like terms

Answer 2

So then is that already the answer or?

Answer 3

if that is all of the problem...yeah, I would just leave it. It is simplified

Answer 4

are you sure you wrote it down correctly?

Answer 5

Yes. It is. Could you help me with 9/3x-1 - 5x/2x+3?

Answer 6

\[\frac{ 9 }{ 3x -1}-\frac{ 5x }{ 2x+3 }\] is that what it looks like?

Answer 7

Yes.

Answer 8

in order to subtract fractions, we need a common denominator

in this case we can use (3x-1)(2x-3) as the common denominator

Answer 9

in order to make this happen I have to mult the top by whatever I have to mult the bottom by to make it (3x-1)(2x+3)

Answer 10

Why did you change the (2x+3) to a minus?

Answer 11

Okay, now what.

Answer 12

sorry my computer is whacking out....no you are right it should be (2x+3)

Answer 13

It's okay, but what do I do next lol?

Answer 14

That was the denominator correct? So now there should be something for the numerator?

Answer 15

\[\frac{ 9(2x+3) }{(3x-1)(2x+3) }-\frac{ 5x(3x-1) }{ (3x-1)(2x+3) }\]

Answer 16

I multiplied each top by what I needed to mult the bottom by to make it our common denominator. does that make sense?

Answer 17

Yes. I see what you did. like cross multiplying.

Answer 18

\[\frac{ 18x+27 }{ (3x-1)(2x+3) }-\frac{ 15x^2-5x }{ (3x-1)(2x+3) }\]

Answer 19

\[\frac{ 18x+27-(15x^2-5x) }{ (3x-1)(2x+3) }\]

Answer 20

\[\frac{ -15x^2+23x+27 }{ (3x-1)(2x+3) }\]

Answer 21

Is that the answer or does it simplify more?

Answer 22

6/7x +1/4= (4*6)/(4*7x)+(7x)/(4*7*x) = (24+28x)/(28x)

Answer 23

no need for all that ^^^ this is the answer

Answer 24

Okay, but I need to show my work or there's no point in me doing this. Plus, I'm not just looking for the answer. I need help understanding it.

Answer 25

this is a different problem

Answer 26

o lol

Answer 27

well this is what they want you to do to the first one

Answer 28

though you are correct about the 1st one

Answer 29

6/7x +1/4= (4*6)/(4*7x)+(7x)/(4*7*x) = (24+28x)/(28x)
factor out 6 and (6+7x)/7x

Answer 30

Was the last thing you said the simplified answer to the second one?

Answer 31

\[\frac{ -15x^2+23x+27 }{ 6x^2+7x-3 }\]

Answer 32

one the first one...
we have \[\frac{6}{7x}+\frac{1}{4}\]

Answer 33

our common denom is 7x*4 so multiply top and bottom of (6/7x) by 4 and top and bottom of (1/4) by 7x and you get
(4*6)/(4*7x)+(7x)/(4*7*x)

Answer 34

now simplify

Answer 35

Okay, thank ya'll.