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

To simplify the complex fraction x + 15 / 8(x - 1), multiply both the numerator and denominator by the LCD of the fractions and cancel out like terms.

Step-by-step explanation:

To simplify the complex fraction x + 15 / 8(x - 1), we can start by finding the LCD (Least Common Denominator) of the fractions in the numerator and denominator.

The LCD of the fractions x + 15 and 8(x - 1) is 8(x - 1).

Multiplying both numerator and denominator by the LCD, we get (x + 15) * 8(x - 1) / [8(x - 1)].

Simplifying further, we have (x + 15) * 8(x - 1) / 8(x - 1). The 8(x - 1) terms in the numerator and denominator cancel out, leaving us with the simplified form of the complex fraction as x + 15.

Answer 2

No. But good try. You almost got it.
Here is the answer:

`( (2)/(x - 1) + (1)/(x) )/( (8)/(x) ) \\ = ( (2x+ x - 1)/(x(x - 1)) )/( (8)/(x) ) \\ = ( (3x - 1)/(x(x - 1)) )/( (8)/(x) ) \\ = \frac{ (3x - 1)/(x(x - 1)) * x } {8} \\ = ( ( 3x - 1)/(x - 1) )/(8) \\ = (3x - 1)/(8(x - 1)) \\ = (3x - 1)/(8x - 8)`