1. The problem states: Simplify the fraction $\frac{635}{10}$ and check if it equals 63. 2. The formula for division of numbers is $\frac{a}{b} = a \div b$. 3. Perform the division: $635 \div 10 = 63.5$. 4. The given expression $\left(63\right)$ is just 63, which is not equal to 63.5. 5. Therefore, $\frac{635}{10} = 63.5 \neq 63$. Final answer: $\frac{635}{10} = 63.5$ and it does not equal 63.