Adding Mixed Numbers worksheet with ten equations to solve, ideal for math practice.

Here are the step-by-step solutions for each problem. To add mixed numbers, we first add the whole numbers together, then find a common denominator to add the fractions, and finally combine them.

1. $2\frac{1}{4} + 3\frac{1}{3}$
* Add whole numbers: $2 + 3 = 5$
* Add fractions: The common denominator for 4 and 3 is 12.
* $\frac{1}{4} = \frac{3}{12}$
* $\frac{1}{3} = \frac{4}{12}$
* $\frac{3}{12} + \frac{4}{12} = \frac{7}{12}$
* Combine: $5\frac{7}{12}$

2. $5\frac{1}{3} + 1\frac{2}{5}$
* Add whole numbers: $5 + 1 = 6$
* Add fractions: The common denominator for 3 and 5 is 15.
* $\frac{1}{3} = \frac{5}{15}$
* $\frac{2}{5} = \frac{6}{15}$
* $\frac{5}{15} + \frac{6}{15} = \frac{11}{15}$
* Combine: $6\frac{11}{15}$

3. $4\frac{1}{2} + 2\frac{1}{5}$
* Add whole numbers: $4 + 2 = 6$
* Add fractions: The common denominator for 2 and 5 is 10.
* $\frac{1}{2} = \frac{5}{10}$
* $\frac{1}{5} = \frac{2}{10}$
* $\frac{5}{10} + \frac{2}{10} = \frac{7}{10}$
* Combine: $6\frac{7}{10}$

4. $6\frac{1}{3} + 3\frac{1}{6}$
* Add whole numbers: $6 + 3 = 9$
* Add fractions: The common denominator for 3 and 6 is 6.
* $\frac{1}{3} = \frac{2}{6}$
* $\frac{2}{6} + \frac{1}{6} = \frac{3}{6}$
* Simplify fraction: $\frac{3}{6}$ simplifies to $\frac{1}{2}$
* Combine: $9\frac{1}{2}$

5. $2\frac{1}{7} + 2\frac{3}{4}$
* Add whole numbers: $2 + 2 = 4$
* Add fractions: The common denominator for 7 and 4 is 28.
* $\frac{1}{7} = \frac{4}{28}$
* $\frac{3}{4} = \frac{21}{28}$
* $\frac{4}{28} + \frac{21}{28} = \frac{25}{28}$
* Combine: $4\frac{25}{28}$

6. $7\frac{1}{7} + 4\frac{1}{4}$
* Add whole numbers: $7 + 4 = 11$
* Add fractions: The common denominator for 7 and 4 is 28.
* $\frac{1}{7} = \frac{4}{28}$
* $\frac{1}{4} = \frac{7}{28}$
* $\frac{4}{28} + \frac{7}{28} = \frac{11}{28}$
* Combine: $11\frac{11}{28}$

7. $3\frac{4}{5} + 6\frac{1}{2}$
* Add whole numbers: $3 + 6 = 9$
* Add fractions: The common denominator for 5 and 2 is 10.
* $\frac{4}{5} = \frac{8}{10}$
* $\frac{1}{2} = \frac{5}{10}$
* $\frac{8}{10} + \frac{5}{10} = \frac{13}{10}$
* Convert improper fraction: $\frac{13}{10} = 1\frac{3}{10}$
* Add to whole number sum: $9 + 1\frac{3}{10} = 10\frac{3}{10}$

8. $2\frac{3}{8} + 8\frac{2}{6}$
* First, simplify $\frac{2}{6}$ to $\frac{1}{3}$. So the problem is $2\frac{3}{8} + 8\frac{1}{3}$.
* Add whole numbers: $2 + 8 = 10$
* Add fractions: The common denominator for 8 and 3 is 24.
* $\frac{3}{8} = \frac{9}{24}$
* $\frac{1}{3} = \frac{8}{24}$
* $\frac{9}{24} + \frac{8}{24} = \frac{17}{24}$
* Combine: $10\frac{17}{24}$

9. $6\frac{1}{8} + 5\frac{1}{3}$
* Add whole numbers: $6 + 5 = 11$
* Add fractions: The common denominator for 8 and 3 is 24.
* $\frac{1}{8} = \frac{3}{24}$
* $\frac{1}{3} = \frac{8}{24}$
* $\frac{3}{24} + \frac{8}{24} = \frac{11}{24}$
* Combine: $11\frac{11}{24}$

10. $3\frac{2}{5} + 4\frac{1}{9}$
* Add whole numbers: $3 + 4 = 7$
* Add fractions: The common denominator for 5 and 9 is 45.
* $\frac{2}{5} = \frac{18}{45}$
* $\frac{1}{9} = \frac{5}{45}$
* $\frac{18}{45} + \frac{5}{45} = \frac{23}{45}$
* Combine: $7\frac{23}{45}$

Final Answer:
1. $5\frac{7}{12}$
2. $6\frac{11}{15}$
3. $6\frac{7}{10}$
4. $9\frac{1}{2}$
5. $4\frac{25}{28}$
6. $11\frac{11}{28}$
7. $10\frac{3}{10}$
8. $10\frac{17}{24}$
9. $11\frac{11}{24}$
10. $7\frac{23}{45}$