-8/9*27 multiply. show all of your work.

To multiply -8/9 by 27, follow these steps:

Step 1: Multiply the numerator of -8/9 (-8) by 27.
-8 * 27 = -216

Step 2: Multiply the denominators of -8/9 (9) and 27.
9 * 27 = 243

Step 3: Combine the results from steps 1 and 2 to form the final answer.
The product of -8/9 and 27 is -216/243.

Now, let's simplify the resulting fraction:

Step 4: Find the greatest common divisor (GCD) of the numerator (-216) and the denominator (243).
The GCD of 216 and 243 is 27.

Step 5: Divide both the numerator and denominator by the GCD.
-216 ÷ 27 = -8
243 ÷ 27 = 9

Step 6: Simplify the fraction.
The simplified product is -8/9.

Therefore, -8/9 multiplied by 27 equals -8/9.