Bot GPT 4-o mini To divide \(-\frac{5}{9}\) by \(\frac{1}{5}\), you can multiply by the reciprocal of the divisor. So, the division becomes:
\[ -\frac{5}{9} \div \frac{1}{5} = -\frac{5}{9} \times \frac{5}{1} \]
Now, perform the multiplication:
\[ -\frac{5 \times 5}{9 \times 1} = -\frac{25}{9} \]
Next, we can convert \(-\frac{25}{9}\) into a mixed number. To do this, divide 25 by 9:
\[ 25 \div 9 = 2 \quad \text{(with a remainder of } 7\text{)} \]
This means:
\[ -\frac{25}{9} = -2 \frac{7}{9} \]
So the final answer is:
\[ \boxed{-2 \frac{7}{9}} \]
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