Question

PLeasE please help me!

Enter the simplified form of the complex fraction in the box.

Assume no denominator equals zero.

i got x + 15 / 8(x - 1) is that right?

Answer 1

Hey! I just took the test and the correct answer is:

3x-1/8(x-1)

Hope I helped!

Answer 2

`(3x-1)/(8(x-1))`

Explanation:

The given expression is

`((2)/(x-1)+(1)/(x))/((8)/(x) )`

The simplified form would be:

`((2x+x-1)/((x-1)x) )/((8)/(x) )\\((3x-1)/(x(x-1)))/((8)/(x))\\ (x(3x-1))/(8x(x-1))\\(3x-1)/(8(x-1))`

To get the simplest form, we first sum the fractions and then divided the two fractions we got.

At the end, we have the result

`(3x-1)/(8(x-1))`

Where x-1 cannot be eliminated, because the variable have different variables.