To convert the improper fraction \( \frac{114}{11} \) into a mixed number, you need to divide the numerator by the denominator.
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Divide 114 by 11.
- \( 114 \div 11 = 10 \) R4 (with a remainder of 4).
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The quotient (10) is the whole number part, and the remainder (4) becomes the numerator of the fractional part over the original denominator (11).
Thus, \( \frac{114}{11} = 10 \frac{4}{11} \).
Among your responses, none match this result exactly, but there seem to be typos and misrepresentations of numbers. If those options are attempts at mixed numbers, would you like to clarify or provide the correct answer choices?
As it stands, if you were seeking how to express \( 114 \div 11 \) as a mixed number in the format of whole number + fraction, the correct answer is:
10 \(\frac{4}{11}\).