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