Question

What is equivalent to -9/6? Choose all answers that apply:

(a) 9/-6
(b) -9/-6
(c) None of the above

Answer 1

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.