1. The problem asks to find the improper fraction equivalent to the mixed number $4 \frac{3}{5}$. 2. A mixed number consists of a whole number and a fraction. To convert it to an improper fraction, use the formula: $$\text{Improper fraction} = \frac{(\text{whole number} \times \text{denominator}) + \text{numerator}}{\text{denominator}}$$ 3. For $4 \frac{3}{5}$, the whole number is 4, the numerator is 3, and the denominator is 5. 4. Substitute these values into the formula: $$\frac{(4 \times 5) + 3}{5} = \frac{20 + 3}{5} = \frac{23}{5}$$ 5. Therefore, the improper fraction equivalent to $4 \frac{3}{5}$ is $\frac{23}{5}$. 6. Among the options, B. $\frac{23}{5}$ is the correct answer.