1. **State the problem:** We need to determine whether $\frac{4}{5}$ is less than, greater than, or equal to $\frac{8}{11}$. 2. **Recall the rule for comparing fractions:** To compare two fractions, we can cross-multiply and compare the products. If $a/b$ and $c/d$ are two fractions, then $a/b > c/d$ if and only if $ad > bc$. 3. **Apply cross multiplication:** Calculate $4 \times 11 = 44$ and $8 \times 5 = 40$. 4. **Compare the products:** Since $44 > 40$, it follows that $\frac{4}{5} > \frac{8}{11}$. 5. **Conclusion:** The correct sign between the fractions is $>$.