To convert the mixed number \(5 \frac{3}{4}\) into an improper fraction, follow these steps:
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Multiply the whole number part (5) by the denominator of the fractional part (4): \[ 5 \times 4 = 20 \]
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Add the result to the numerator of the fractional part (3): \[ 20 + 3 = 23 \]
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Place the result over the original denominator (4): \[ \frac{23}{4} \]
Therefore, the improper fraction equivalent to \(5 \frac{3}{4}\) is \(\frac{23}{4}\).