Divide −9 by 27. Write the answer as a simplified fraction with the correct sign. Show your work.
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.
To divide -9 by 27 and write the answer as a simplified fraction with the correct sign, follow these steps:
Step 1: Divide the absolute values of the numbers:
|-9 ÷ 27|
Step 2: Simplify the resulting fraction:
|-9 ÷ 27| = 1/3
Step 3: Determine the sign of the fraction:
The sign of the fraction will be negative since -9 is a negative number.
Step 4: Write the answer as a simplified fraction with the correct sign:
-9/27 = -1/3
Therefore, the answer to dividing -9 by 27 and writing it as a simplified fraction with the correct sign is -1/3.
To divide -9 by 27, we divide the absolute values of the two numbers and then determine the sign of the result.
|-9| ÷ |27| = 9 ÷ 27 = 1/3.
Since -9 is negative, the final answer is -1/3.
Therefore, -9 ÷ 27 = -1/3.