1. **State the problem:** Simplify the expression $\frac{3}{4} - \frac{1}{3}$. 2. **Formula and rules:** To subtract fractions, they must have a common denominator. Find the least common denominator (LCD) of 4 and 3. 3. **Find the LCD:** The multiples of 4 are 4, 8, 12, 16... The multiples of 3 are 3, 6, 9, 12... The smallest common multiple is 12. So, the LCD is 12. 4. **Rewrite each fraction with denominator 12:** $$\frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}$$ $$\frac{1}{3} = \frac{1 \times 4}{3 \times 4} = \frac{4}{12}$$ 5. **Subtract the numerators:** $$\frac{9}{12} - \frac{4}{12} = \frac{9 - 4}{12} = \frac{5}{12}$$ 6. **Simplify the fraction if possible:** 5 and 12 have no common factors other than 1, so $$\frac{5}{12}$$ is already in simplest form. **Final answer:** $$\frac{3}{4} - \frac{1}{3} = \frac{5}{12}$$