To find the quotient of -5/9 ÷ 1/5, follow these steps:
Step 1: Invert the divisor (the number you are dividing by).
In this case, the divisor is 1/5. To invert it, swap the numerator and the denominator, making it 5/1.
Step 2: Multiply the dividend (the number you are dividing) by the inverted divisor.
Multiply -5/9 by 5/1.
(-5/9) * (5/1) = -25/9.
Step 3: Simplify the resulting fraction, if necessary.
The fraction -25/9 is already in simplest form, so no further simplification is needed.
Therefore, the quotient of -5/9 ÷ 1/5 is -25/9.