To simplify the fraction \( \frac{35}{10} \), we can find the greatest common divisor (GCD) of the numerator (35) and the denominator (10).
- The factors of 35 are: \( 1, 5, 7, 35 \)
- The factors of 10 are: \( 1, 2, 5, 10 \)
The GCD of 35 and 10 is 5.
Next, we divide both the numerator and the denominator by their GCD:
\[ \frac{35 \div 5}{10 \div 5} = \frac{7}{2} \]
Thus, the fraction \( \frac{35}{10} \) in simplest form is \( \frac{7}{2} \).