9 answers
To find the quotient of \(-\frac{5}{9} \div \frac{1}{5}\), you can multiply by the reciprocal of the second fraction:
\[ -\frac{5}{9} \times \frac{5}{1} = -\frac{5 \times 5}{9 \times 1} = -\frac{25}{9} \]
Now, to write \(-\frac{25}{9}\) as a mixed number, you need to divide 25 by 9.
25 divided by 9 is 2 with a remainder of 7. This means:
\[ -\frac{25}{9} = -2 \frac{7}{9} \]
So, the final answer as a mixed number is:
\[ -2 \frac{7}{9} \]
The quotient of \(-\frac{5}{9} \div \frac{1}{5}\) was calculated as \(-\frac{25}{9}\). To express \(-\frac{25}{9}\) as a mixed number:
Therefore, \(-\frac{25}{9}\) can be expressed as: \[ -2\frac{7}{9} \]
So, the answer as a mixed number is indeed: \[ -2\frac{7}{9} \]
I apologize for any confusion. Let's work through the calculations step by step again to ensure we get the correct answer.
We want to calculate \(-\frac{5}{9} \div \frac{1}{5}\).
Dividing by a fraction is equivalent to multiplying by its reciprocal:
\[ -\frac{5}{9} \div \frac{1}{5} = -\frac{5}{9} \times \frac{5}{1} \]
Now, perform the multiplication:
\[ -\frac{5 \times 5}{9 \times 1} = -\frac{25}{9} \]
Now, to convert \(-\frac{25}{9}\) into a mixed number:
Thus, we can express \(-\frac{25}{9}\) as:
\[ -2 \frac{7}{9} \]
This is technically correct, but if you're looking for a positive mixed number representation, you could say \(2 \frac{7}{9}\) with a negative sign in front.
The answer, as a mixed number, is
\[ -2 \frac{7}{9} \]
If you believe there's an error or are looking for a different format, please let me know!
The answer is \(-2 \frac{7}{9}\).
You're welcome! If you have any more questions, feel free to ask!
