Expressed in simplest form,
(n-1/n)/(1+1/n) is equivalent to...
1.)n-1
2.)n+1
3.)n-1/n+1
4.)n
N+1
N-1
N+1
To simplify the given expression, we need to simplify both the numerator and the denominator individually before dividing them.
Let's start by simplifying the numerator, (n - 1/n):
To simplify this, we can multiply both the numerator and denominator by n.
So, (n - 1/n) * (n/n) = (n^2 - 1)/n
Next, let's simplify the denominator, (1 + 1/n):
To simplify this, we can multiply both the numerator and denominator by n.
So, (1 + 1/n) * (n/n) = (n + 1)/n
Now, we can substitute these simplified forms back into the original expression:
(n^2 - 1)/n divided by (n + 1)/n
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:
(n^2 - 1)/n * n/(n + 1)
Now, let's simplify this expression:
(n^2 - 1)/(n + 1)
This expression is equivalent to option 3.) n^2 - 1 divided by n + 1.
(n-1/n) / (1+1/n)
multiply top and bottom by n
(n^2 - 1)/(n+1)
= (n+1)(n-1)/(n+1)
= n -1 , n≠ -1