Final answer:
To find an equivalent fraction to (-13) : (-6), divide both the numerator and denominator of the given fraction by their common factors until simplification is not possible. In this case, the equivalent fraction is 13/6.
Step-by-step explanation:
To find an equivalent fraction to (-13) : (-6), we need to divide both the numerator and denominator of the given fraction by their common factors until we can no longer simplify further.
In this case, the common factors of -13 and -6 are 1, -1, 13, and -13. Dividing both numerator and denominator by -1 gives us (-13) : (-6) = 13 : 6.
So, the equivalent fraction is 13/6, which means option C is correct.