Final answer:
When simplifying the expression (3x + 6) / (2x + 18), you divide both the numerator and the denominator by 3 to get (x + 2) / (2x + 6). There are no further common factors to simplify, so none of the answer choices provided are correct.
Step-by-step explanation:
To simplify the expression (3x + 6) / (2x + 18), we first look for any common factors in the numerator and the denominator. Both the numerator and the denominator have a common factor of 3, so we can simplify the expression by dividing both terms in the numerator and in the denominator by 3.
Dividing the numerator by 3 gives us 1x + 2, or simply x + 2. Dividing the denominator by 3 gives us 2x/3 + 18/3, which simplifies to 2x/3 + 6.
However, at this point, we notice that there are no further common factors between the numerator (x + 2) and the denominator (2x + 6), meaning that the expression cannot be simplified any further. None of the answer choices given (a) 1.5, (b) 2, (c) 1, (d) 0.5 are correct simplifications of the original expression.
So the correct simplified form of the expression is (x + 2) / (2x + 6), which cannot be reduced to any of the options a-d provided.