Final answer:
The two fractions (-5)/(30) and (1)/(-6) are equivalent.
Step-by-step explanation:
When determining if two fractions are equivalent, we need to check if they represent the same value. To do this, we can simplify both fractions and see if they are equal.
The first fraction is (-5)/(30) and the second fraction is (1)/(-6).
We can simplify the first fraction by dividing both the numerator and denominator by 5, resulting in (-1)/(6).
Next, we can simplify the second fraction by dividing both the numerator and denominator by -1, resulting in (-1)/(6).
Since both fractions simplify to the same fraction (-1)/(6), we can conclude that they are equivalent.