Simplify x-2/x-1 + 6/7x-7?

Question

/ means it's a fraction
Simplify:

x-2/x-1 + 6/7x-7

Answer 1

I guess that you mean:

(x-2)/(x-1) + 6 / (7x-7)

Remember that 7x-7 is 7(x-1)

So, multiply and divide the first fraction by 7. You will obtain this:

7(x-2) / (7x-7) = (7x - 14)/ (7x-7)

Since you have 2 fractions with the same denominator, you can just add the numerators

7x-14 + 6 = 7x - 8

So, your result is: (7x-8)/(7x-7)

Or you can express this this way: 7x-8 = 7x-7 - 1

So: since (7x-7)/(7x-7) = 1, you will have this:

(7x- 7)/(7x-7) - 1/(7x-7) = 1 - 1/[7(x-1)]


Ana

EDIT

Roo's answer is wrong. Sorry, Roo

Ana

Answer 2

Q- x-2/x-1 + 6/(7x-7)
solu- 7x-7 can be writen as 7(x-1) [taking 7 common]
=x-2/x-1 + 6/7(x-1)
={7(x-2) + 6} / 7(x-1) [taking 7(x-1) LCM ]
=(7x-14+6)/7x-7
=7x-8/7x-7........answer.

i dont think any need of smplifying this any more as told by 1st answerer.