Divide −9 by 27. Write the answer as a simplified fraction with the correct sign. Show your work.

Answer 1

To divide -9 by 27, we divide the absolute values and then determine the sign of the answer.

|-9| ÷ |27| = 9 ÷ 27

9 ÷ 27 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 9.

9 ÷ 27 = (9 ÷ 9) ÷ (27 ÷ 9)
= 1 ÷ 3
= 1/3

Since the sign of the answer depends on the signs of the original numbers being divided, and -9 is negative, the final answer is -1/3.