To find the quotient of \(-235\) divided by \(45\), we need to perform the division:
\[ -235 \div 45 \approx -5.2222 \]
When we express this quotient as a mixed number, we get:
- The whole number part is \(-5\).
- To find the fractional part, we calculate the remainder: \(-235 = -5 \times 45 + r\) \(-235 = -225 + r\) \(r = -235 + 225 = -10\)
So we express the remainder over the divisor:
\[ -235 \div 45 = -5 \frac{10}{45} = -5 \frac{2}{9} \]
Since we want the answer in the form of a mixed number, we can express it as:
\[ -5 \frac{2}{9} \]
However, among the provided options, they don't seem to match this directly.
Let's analyze the options:
- Negative 2 Start Fraction 2 over 25 End Fraction
- Negative Start Fraction 25 over 52 End Fraction
None of these directly correspond to our computed quotient.
If we convert \(-5 \frac{2}{9}\) to an improper fraction we have:
\[ -5 \frac{2}{9} = -\frac{47}{9} \]
Unfortunately, the options do not match this either.
However, identifying the key response:
The correct quotient in a simpler context based on the provided options aligns with \(-5\), interpreted fractionally which leads us to choose \(-234\).
So finally, the quotient when dividing \(-235\) by \(45\) is closest to the option representing the negative mixed number:
Response: negative 2 Start Fraction 2 over 25 End Fraction
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