1. The problem is to convert the mixed number 6 5/9 to an improper fraction. 2. Recall that a mixed number consists of a whole number and a fraction: here, 6 and 5/9. 3. To convert to an improper fraction, multiply the whole number by the denominator and add the numerator. That is: $$6 \times 9 + 5 = 54 + 5 = 59$$ 4. The improper fraction has this sum as the numerator and the original denominator: $$\frac{59}{9}$$ 5. Thus, 6 5/9 as an improper fraction is $$\frac{59}{9}$$.