Mixed Fraction 586Cee
1. The problem asks to express a given improper fraction as a mixed fraction in its simplest form.
2. A mixed fraction consists of a whole number and a proper fraction.
3. To convert an improper fraction $\frac{a}{b}$ to a mixed fraction, divide $a$ by $b$ to get quotient $q$ and remainder $r$.
4. The mixed fraction is then $q \frac{r}{b}$.
5. Simplify the fraction $\frac{r}{b}$ by dividing numerator and denominator by their greatest common divisor (GCD).
6. Example: Convert $\frac{11}{4}$ to a mixed fraction.
7. Divide 11 by 4: $11 \div 4 = 2$ remainder $3$.
8. So, the mixed fraction is $2 \frac{3}{4}$.
9. Since 3 and 4 have no common divisors other than 1, $\frac{3}{4}$ is already in simplest form.
10. Final answer: $2 \frac{3}{4}$.