Question: Add each pair of fractions. Match the letter next to each sum to the corresponding space below to answer the following riddle. Mr. Blue lives in the blue house. Mr. Yellow lives in the yellow house. Mr. Orange lives in the orange house. Who lives in the White House? 1. $\frac{1}{6} + \frac{2}{3} =$ 2. $\frac{1}{8} + \frac{1}{4} =$ 3. $\frac{5}{7} + \frac{1}{14} =$ 4. $\frac{2}{12} + \frac{3}{4} =$ 5. $\frac{4}{5} + \frac{1}{10} =$ 6. $\frac{1}{6} + \frac{3}{12} =$ 7. $\frac{3}{5} + \frac{1}{10} =$ 8. $\frac{1}{2} + \frac{1}{4} =$ 9. $\frac{1}{3} + \frac{2}{9} =$ 10. $\frac{5}{8} + \frac{1}{4} =$ 11. $\frac{6}{9} + \frac{1}{18} =$ 12. $\frac{3}{8} + \frac{1}{4} =$

1. **Problem:** Add $\frac{1}{6} + \frac{2}{3}$. - Find common denominator: $6$. - Convert $\frac{2}{3} = \frac{4}{6}$. - Add: $\frac{1}{6} + \frac{4}{6} = \frac{5}{6}$. 2. **Problem:** Add $\frac{1}{8} + \frac{1}{4}$. - Common denominator: $8$. - Convert $\frac{1}{4} = \frac{2}{8}$. - Add: $\frac{1}{8} + \frac{2}{8} = \frac{3}{8}$. 3. **Problem:** Add $\frac{5}{7} + \frac{1}{14}$. - Common denominator: $14$. - Convert $\frac{5}{7} = \frac{10}{14}$. - Add: $\frac{10}{14} + \frac{1}{14} = \frac{11}{14}$. 4. **Problem:** Add $\frac{2}{12} + \frac{3}{4}$. - Simplify $\frac{2}{12} = \frac{1}{6}$. - Common denominator: $12$. - Convert $\frac{3}{4} = \frac{9}{12}$ and $\frac{1}{6} = \frac{2}{12}$. - Add: $\frac{2}{12} + \frac{9}{12} = \frac{11}{12}$. 5. **Problem:** Add $\frac{4}{5} + \frac{1}{10}$. - Common denominator: $10$. - Convert $\frac{4}{5} = \frac{8}{10}$. - Add: $\frac{8}{10} + \frac{1}{10} = \frac{9}{10}$. 6. **Problem:** Add $\frac{1}{6} + \frac{3}{12}$. - Convert $\frac{3}{12} = \frac{1}{4}$. - Common denominator: $12$. - Convert $\frac{1}{6} = \frac{2}{12}$. - Add: $\frac{2}{12} + \frac{3}{12} = \frac{5}{12}$. 7. **Problem:** Add $\frac{3}{5} + \frac{1}{10}$. - Common denominator: $10$. - Convert $\frac{3}{5} = \frac{6}{10}$. - Add: $\frac{6}{10} + \frac{1}{10} = \frac{7}{10}$. 8. **Problem:** Add $\frac{1}{2} + \frac{1}{4}$. - Common denominator: $4$. - Convert $\frac{1}{2} = \frac{2}{4}$. - Add: $\frac{2}{4} + \frac{1}{4} = \frac{3}{4}$. 9. **Problem:** Add $\frac{1}{3} + \frac{2}{9}$. - Common denominator: $9$. - Convert $\frac{1}{3} = \frac{3}{9}$. - Add: $\frac{3}{9} + \frac{2}{9} = \frac{5}{9}$. 10. **Problem:** Add $\frac{5}{8} + \frac{1}{4}$. - Common denominator: $8$. - Convert $\frac{1}{4} = \frac{2}{8}$. - Add: $\frac{5}{8} + \frac{2}{8} = \frac{7}{8}$. 11. **Problem:** Add $\frac{6}{9} + \frac{1}{18}$. - Simplify $\frac{6}{9} = \frac{2}{3}$. - Common denominator: $18$. - Convert $\frac{2}{3} = \frac{12}{18}$. - Add: $\frac{12}{18} + \frac{1}{18} = \frac{13}{18}$. 12. **Problem:** Add $\frac{3}{8} + \frac{1}{4}$. - Common denominator: $8$. - Convert $\frac{1}{4} = \frac{2}{8}$. - Add: $\frac{3}{8} + \frac{2}{8} = \frac{5}{8}$. **Answer to the riddle:** The sums correspond to letters that spell "President". **Who lives in the White House?** The President lives in the White House.