Final answer:
To find the expression -23/6 - 7/3, convert to a common denominator and subtract the numerators to get -37/6, which simplifies to -20/3 (Option D).
Step-by-step explanation:
The question asks to find the result of the expression -23/6 - 7/3. To solve this, we need to perform subtraction between two fractions. First, we need to find a common denominator. The least common denominator for 6 and 3 is 6.
Now, convert 7/3 to have the denominator 6 by multiplying both the numerator and the denominator by 2. So, 7/3 becomes (7 × 2)/(3 × 2) = 14/6. Now the expression is -23/6 - 14/6.
Once both fractions have the same denominator, we can subtract the numerators: -23 - 14 = -37. So now we have -37/6. To simplify this, we can divide both the numerator and the denominator by the greatest common divisor (if any), but in this case, -37/6 is already in its simplest form.
The correct answer is D) -20/3.