Final answer:
The correct answer is option c. The standard form of the fraction -102/119 is found by dividing both the numerator and the denominator by the common factor 17, which results in the fraction -6/7, corresponding to option c.
Step-by-step explanation:
The student asked for the result of expressing the fraction -102/119 in standard form. To find the standard form, we are looking for a fraction that is equivalent to -102/119, but with the smallest possible whole numbers for both the numerator and the denominator.
First, we need to determine if there's a common factor for both numbers that we can divide by. In this case, both numbers are divisible by 17. Dividing the numerator and denominator by 17, we get:
-102 ÷ 17 = -6
119 ÷ 17 = 7
Therefore, the standard form of -102/119 is -6/7, which is option c. So, the correct option in the final answer is -6/7.