1. The problem is to simplify the fraction $\frac{35}{5}$. 2. The formula for simplifying a fraction is to divide the numerator and denominator by their greatest common divisor (GCD). 3. Find the GCD of 35 and 5. Since 5 divides both 35 and 5, the GCD is 5. 4. Divide numerator and denominator by 5: $$\frac{35}{5} = \frac{35 \div 5}{5 \div 5} = \frac{7}{1}$$ 5. Any number divided by 1 is the number itself, so the simplified fraction is 7. 6. Therefore, $\frac{35}{5}$ simplifies to 7.