1. The problem is to express a given improper fraction as a mixed number in simplest form. 2. The formula to convert an improper fraction $\frac{a}{b}$ to a mixed number is: $$a = b \times q + r$$ where $q$ is the quotient (whole number part) and $r$ is the remainder (numerator of the fractional part). 3. Divide the numerator by the denominator to find $q$ and $r$. 4. Write the mixed number as $q \frac{r}{b}$. 5. Simplify the fractional part $\frac{r}{b}$ by dividing numerator and denominator by their greatest common divisor (GCD). 6. Example: Convert $\frac{11}{4}$ to a mixed number. 7. Divide 11 by 4: $11 = 4 \times 2 + 3$, so $q=2$, $r=3$. 8. The mixed number is $2 \frac{3}{4}$. 9. Since 3 and 4 have no common divisors other than 1, the fraction is already in simplest form. 10. Final answer: $2 \frac{3}{4}$.