To convert the mixed number \(-8 \frac{3}{4}\) to an improper fraction, follow these steps:
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Convert the whole number to an improper fraction:
- Multiply the whole number \(-8\) by the denominator \(4\): \[ -8 \times 4 = -32 \]
- Add the numerator \(3\): \[ -32 + 3 = -29 \]
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Write as an improper fraction:
- The result is \(-29\) in the numerator over the original denominator \(4\): \[ \frac{-29}{4} \]
Thus, \(-8 \frac{3}{4}\) as an improper fraction is \(\frac{-29}{4}\).