To divide -5/9 by 1/5 as a mixed number, we can follow these steps:
Step 1: Invert the divisor (the number being divided by) to find its reciprocal.
Reciprocal of 1/5 = 5/1 = 5.
Step 2: Multiply the dividend (the number being divided) by the reciprocal of the divisor.
(-5/9) * 5 = -5/9 * 5/1 = (-5 * 5) / (9 * 1) = -25/9.
Step 3: Express the answer as a mixed number by dividing the absolute value of the numerator by the denominator while keeping the sign.
The absolute value of -25 is 25, and the denominator is 9. Since 25 divided by 9 is 2 with a remainder of 7, the mixed number form is:
-25/9 = -2 7/9.
Therefore, -5/9 divided by 1/5 as a mixed number is -2 7/9.