1. Stating the problem: Simplify the expression \( \frac{3}{10} - \frac{1}{10} \). 2. Since the denominators are the same, simply subtract the numerators: $$ \frac{3 - 1}{10} $$ 3. Calculate the numerator subtraction: $$ \frac{2}{10} $$ 4. Simplify the fraction by dividing numerator and denominator by their greatest common divisor, 2: $$ \frac{2 \div 2}{10 \div 2} = \frac{1}{5} $$ 5. Final answer is: $$ \frac{1}{5} $$