To divide \(-\frac{1011}{-25}\), the signs cancel out, so it becomes:
\(\frac{1011}{25}\).
Next, let's perform the division:
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Divide \(1011\) by \(25\):
\(25\) goes into \(1011\) approximately \(40\) times (since \(25 \times 40 = 1000\)).
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Subtract \(1000\) from \(1011\):
\(1011 - 1000 = 11\).
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So you have:
\(1011 \div 25 = 40\) remainder \(11\).
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To express the remainder as a fraction:
\(\frac{11}{25}\).
Thus, \(\frac{1011}{25} = 40 + \frac{11}{25}\).
The quotient, therefore, is:
\[ 40 + \frac{11}{25} = \frac{40 \times 25 + 11}{25} = \frac{1000 + 11}{25} = \frac{1011}{25}. \]
However, since we want the answer in mixed number form, the integer part is \(40\) and the fractional part is \(\frac{11}{25}\), which is not presented in the options.
Let's check the options provided. Since we clearly derived \(40 + \frac{11}{25}\) and since \(1\) option looks related with \(40 + \frac{x}{n}\):
None of the given options align with our correctly calculated value \(40 + \frac{11}{25}\).
Please clarify if I misunderstood the question or if any of the information is missing.
1 answer