To find the quotient when dividing -235 by 45, you perform the division:
\[ -235 \div 45 \approx -5.2222 \]
When expressed as a mixed number, this is -5 and the remainder can be calculated by:
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Calculate -5 times 45: \(-5 \times 45 = -225\)
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Subtract -225 from -235 to find the remainder: \(-235 - (-225) = -235 + 225 = -10\)
Now, we can express this in mixed number form:
\[ -235 \div 45 = -5 \frac{10}{45} = -5 \frac{2}{9} \]
Now, let's check the options given:
- The correct option should reflect a division that yields a quotient of approximately -5 and a remainder of -10.
However, in the options you listed, one of the ones provided is close to this form. Converting -5 \(\frac{2}{9}\) yields:
\(-5\) is equivalent to \(-\frac{45}{9} - \frac{2}{9} = -\frac{47}{9}\).
After reviewing the potential matches from the responses listed, I find that the correct answer is none of the responses match a clean \(-5\frac{2}{9}\), so the best match for a number close to what we derived correctly, with error checks excluded. Thus, I would select:
The response that represents the closest valid negative fraction aligned with division output: −2552, negative Start Fraction 25 over 52 End Fraction, if you are opting to take representation where negatives and positive balances aligned would allow equivalences.
Confirm or re-evaluate, particularly for breakdown clarity conformations in questions if seeking numerical representations strictly.
1 answer