1. The problem is to add unlike fractions, which means fractions with different denominators. 2. To add fractions with unlike denominators, first find the least common denominator (LCD). 3. For example, to add $\frac{2}{3}$ and $\frac{1}{4}$, find the LCD of 3 and 4, which is 12. 4. Convert each fraction to an equivalent fraction with denominator 12: $$\frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12}$$ $$\frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12}$$ 5. Now add the numerators: $$\frac{8}{12} + \frac{3}{12} = \frac{8 + 3}{12} = \frac{11}{12}$$ 6. The sum of $\frac{2}{3}$ and $\frac{1}{4}$ is $\frac{11}{12}$. 7. This method works for any unlike fractions: find the LCD, convert, then add numerators.