1. The problem is to simplify the mixed number 3 4/35. 2. A mixed number consists of a whole number and a fraction. Here, the whole number is 3 and the fraction is \frac{4}{35}. 3. To express this as an improper fraction, multiply the whole number by the denominator and add the numerator: $$3 \times 35 + 4 = 105 + 4 = 109$$ 4. So, the improper fraction is: $$\frac{109}{35}$$ 5. Since 109 and 35 have no common factors other than 1, the fraction is already in simplest form. 6. Therefore, the simplified form of 3 4/35 as an improper fraction is \frac{109}{35}.