Question: Convert this mixed number into an improper fraction.
5 3/4 = [?]
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1. **State the problem:** Convert the mixed number $5 \frac{3}{4}$ into an improper fraction.
2. **Recall the formula:** To convert a mixed number $a \frac{b}{c}$ to an improper fraction, use:
$$\text{Improper fraction} = \frac{a \times c + b}{c}$$
where $a$ is the whole number, $b$ is the numerator, and $c$ is the denominator.
3. **Apply the formula:** Here, $a=5$, $b=3$, and $c=4$.
Calculate the numerator:
$$5 \times 4 + 3 = 20 + 3 = 23$$
So the improper fraction is:
$$\frac{23}{4}$$
4. **Explain simplification:** Since $23$ and $4$ have no common factors other than $1$, the fraction $\frac{23}{4}$ is already in simplest form.
**Final answer:**
$$5 \frac{3}{4} = \frac{23}{4}$$