Question

Preform the indicated operations and simplify the result. Leave the numerator and denominar in the result in factored form.

Answer 1

Given the following expression:

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

We will simplify the given expression as follows:

Multiply both the numerator and the denominator by x to eliminate the denominators of each part

`(1-(1)/(x))/(3+(1)/(x))=(x(1-(1)/(x)))/(x(3+(1)/(x)))=(x-x*(1)/(x))/(3x+x*(1)/(x))=(x-1)/(3x+1)`

So, the answer will be:

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