can someone lead me in the right direction i need to simplify (2 + 1/x + 1) / (5 - 2/x - 1)?

Answer 1

=(2x + 1 + x)/(5x -2 -x)
=(3x + 1)/(4x-2)

Answer 2

first, you combine like terms in the numerator ( 2+1= 3) then in the denominator (5-1=4)
so you would have (3+1/x) / (4 -2/x)

since the numerator and the denominator have both a denominator x. then we can multiply top and bottom by x in order to get rid of that x.

so then we would have the following:
(1+3x)/(-2 +4x)

remember;
when multiplying top and bottom by x.
the x in (1/x) and (-2/x) disappear, but you would still have to multiply the other term by x (3) in the numerator and (4) in the denominator.

hope this helps.! =)

Answer 3

Well first start by adding like terms
(3/x+1)/(3/x-1)
Now since you are dividing it is the same thing as multiplying by the reciprocal.
So now you get
(3/x+1) * (x-1/3)
Multiplying this out you get
(3x-3)/(3x+3)
Same as
3(x-1) / 3(x+1)
This simplified is
(x-1) / (x+1) and that is your final answer

Answer 4

(2+1/x+1) + (5- 2/x -1)

= (10 - 4/x -2) + (5/x -2/2x-1/x) + (5- 2/x -1)
=10 -4/x -2 + 5/x -2/2x -1/x + (5-2/x-1)
=10 -2/2x -2 +5 -2/x -1
= 12- 2/2x -2/x

Answer 5

(3/x+1)/(3/x-1)

=]

Answer 6

I'm not sure what you're trying to do, but try finding the common denominator of the top and bottom:
[(2x+1+x)/x]/[(5x-2-x)/x]
=(3x+1)/(4x-2)

Answer 7

Tita is correct