Final answer:
The only equivalent expression to -9/6 from the options given is 9/-6, since having a negative sign in either the numerator or the denominator results in a negative fraction.
Step-by-step explanation:
To determine what is equivalent to -9/6, we have to look at the sign of the numbers in the given options and simplify the fractions if possible. Now, -9/6 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3. We get -9 ÷ 3 = -3 and 6 ÷ 3 = 2, hence the fraction simplifies to -3/2. Now, let's evaluate the given options:
- (a) 9/-6 indeed is equivalent to -9/6 because when you have a negative sign in either the numerator or the denominator, the fraction is negative.
- (b) -9/-6, however, is not equivalent because the negatives cancel each other out, making the fraction positive. After simplification, it would be 3/2, which is not the same as -3/2.
- (c) None of the above is not correct since option (a) is equivalent to -9/6.
Conclusion
The only equivalent expression to -9/6 from the options given is (a) 9/-6.