Question: Write 2 4/5 as an improper fraction in its simplest form.
1. **State the problem:** Convert the mixed number $2 \frac{4}{5}$ to an improper fraction in simplest form.
2. **Recall the formula:** To convert a mixed number $a \frac{b}{c}$ to an improper fraction, use:
$$\text{Improper fraction} = \frac{a \times c + b}{c}$$
3. **Apply the formula:** Here, $a=2$, $b=4$, and $c=5$.
$$\frac{2 \times 5 + 4}{5} = \frac{10 + 4}{5} = \frac{14}{5}$$
4. **Simplify the fraction:** Check if $\frac{14}{5}$ can be simplified further.
- The numerator $14$ factors as $2 \times 7$.
- The denominator $5$ is prime.
- No common factors other than $1$, so $\frac{14}{5}$ is already in simplest form.
5. **Final answer:** The improper fraction form of $2 \frac{4}{5}$ is $$\frac{14}{5}$$.