1. **State the problem:** We want to find the value of $\frac{1}{2} - \frac{1}{10}$. 2. **Find a common denominator:** The denominators are 2 and 10. The least common denominator (LCD) is 10. 3. **Rewrite the fractions with denominator 10:** $$\frac{1}{2} = \frac{1 \times 5}{2 \times 5} = \frac{5}{10}$$ So the subtraction becomes $$\frac{5}{10} - \frac{1}{10}$$ 4. **Subtract the numerators:** Since the denominators are the same, subtract the numerators directly: $$\frac{5 - 1}{10} = \frac{4}{10}$$ 5. **Simplify the fraction:** Both numerator and denominator can be divided by 2: $$\frac{\cancel{4}^{2}}{\cancel{10}^{5}} = \frac{2}{5}$$ **Final answer:** $$\frac{1}{2} - \frac{1}{10} = \frac{2}{5}$$