Math worksheet featuring 20 problems where students practice adding three mixed fractions that share the same denominator.

Let's solve the worksheet titled "Adding Three Numbers", which involves adding mixed fractions with the same denominators.

We'll go through each problem step by step, showing how to add mixed numbers when they have like denominators (same denominator). The general method is:

1. Add the whole number parts.
2. Add the fractional parts.
3. If the sum of the fractional parts is an improper fraction, convert it to a mixed number and add the whole number part to the total.

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Problem 1:

$ 2\frac{2}{5} + 3\frac{3}{5} + 1\frac{1}{5} $

- Whole numbers: $ 2 + 3 + 1 = 6 $
- Fractions: $ \frac{2}{5} + \frac{3}{5} + \frac{1}{5} = \frac{6}{5} $
- $ \frac{6}{5} = 1\frac{1}{5} $
- Total: $ 6 + 1\frac{1}{5} = 7\frac{1}{5} $

✔ Answer: $ 7\frac{1}{5} $

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Problem 2:

$ 4\frac{1}{6} + 5\frac{5}{6} + 3\frac{1}{6} $

- Whole: $ 4 + 5 + 3 = 12 $
- Fractions: $ \frac{1}{6} + \frac{5}{6} + \frac{1}{6} = \frac{7}{6} = 1\frac{1}{6} $
- Total: $ 12 + 1\frac{1}{6} = 13\frac{1}{6} $

✔ Answer: $ 13\frac{1}{6} $

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Problem 3:

$ 5\frac{3}{7} + 2\frac{2}{7} + 3\frac{5}{7} $

- Whole: $ 5 + 2 + 3 = 10 $
- Fractions: $ \frac{3}{7} + \frac{2}{7} + \frac{5}{7} = \frac{10}{7} = 1\frac{3}{7} $
- Total: $ 10 + 1\frac{3}{7} = 11\frac{3}{7} $

✔ Answer: $ 11\frac{3}{7} $

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Problem 4:

$ 2\frac{1}{4} + 6\frac{3}{4} + 1\frac{1}{4} $

- Whole: $ 2 + 6 + 1 = 9 $
- Fractions: $ \frac{1}{4} + \frac{3}{4} + \frac{1}{4} = \frac{5}{4} = 1\frac{1}{4} $
- Total: $ 9 + 1\frac{1}{4} = 10\frac{1}{4} $

✔ Answer: $ 10\frac{1}{4} $

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Problem 5:

$ 3\frac{11}{12} + 2\frac{5}{12} + 4\frac{7}{12} $

- Whole: $ 3 + 2 + 4 = 9 $
- Fractions: $ \frac{11}{12} + \frac{5}{12} + \frac{7}{12} = \frac{23}{12} = 1\frac{11}{12} $
- Total: $ 9 + 1\frac{11}{12} = 10\frac{11}{12} $

✔ Answer: $ 10\frac{11}{12} $

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Problem 6:

$ 2\frac{2}{9} + 3\frac{5}{9} + 1\frac{7}{9} $

- Whole: $ 2 + 3 + 1 = 6 $
- Fractions: $ \frac{2}{9} + \frac{5}{9} + \frac{7}{9} = \frac{14}{9} = 1\frac{5}{9} $
- Total: $ 6 + 1\frac{5}{9} = 7\frac{5}{9} $

✔ Answer: $ 7\frac{5}{9} $

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Problem 7:

$ 4\frac{3}{11} + 2\frac{2}{11} + 3\frac{7}{11} $

- Whole: $ 4 + 2 + 3 = 9 $
- Fractions: $ \frac{3}{11} + \frac{2}{11} + \frac{7}{11} = \frac{12}{11} = 1\frac{1}{11} $
- Total: $ 9 + 1\frac{1}{11} = 10\frac{1}{11} $

✔ Answer: $ 10\frac{1}{11} $

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Problem 8:

$ 3\frac{3}{8} + 1\frac{5}{8} + 2\frac{7}{8} $

- Whole: $ 3 + 1 + 2 = 6 $
- Fractions: $ \frac{3}{8} + \frac{5}{8} + \frac{7}{8} = \frac{15}{8} = 1\frac{7}{8} $
- Total: $ 6 + 1\frac{7}{8} = 7\frac{7}{8} $

✔ Answer: $ 7\frac{7}{8} $

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Problem 9:

$ 5\frac{7}{13} + 2\frac{11}{13} + 3\frac{2}{13} $

- Whole: $ 5 + 2 + 3 = 10 $
- Fractions: $ \frac{7}{13} + \frac{11}{13} + \frac{2}{13} = \frac{20}{13} = 1\frac{7}{13} $
- Total: $ 10 + 1\frac{7}{13} = 11\frac{7}{13} $

✔ Answer: $ 11\frac{7}{13} $

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Problem 10:

$ 2\frac{1}{7} + 3\frac{2}{7} + 4\frac{3}{7} $

- Whole: $ 2 + 3 + 4 = 9 $
- Fractions: $ \frac{1}{7} + \frac{2}{7} + \frac{3}{7} = \frac{6}{7} $
- Total: $ 9\frac{6}{7} $

✔ Answer: $ 9\frac{6}{7} $

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Problem 11:

$ 2\frac{1}{6} + 1\frac{1}{6} + 3\frac{5}{6} $

- Whole: $ 2 + 1 + 3 = 6 $
- Fractions: $ \frac{1}{6} + \frac{1}{6} + \frac{5}{6} = \frac{7}{6} = 1\frac{1}{6} $
- Total: $ 6 + 1\frac{1}{6} = 7\frac{1}{6} $

✔ Answer: $ 7\frac{1}{6} $

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Problem 12:

$ 3\frac{3}{10} + 4\frac{7}{10} + 6\frac{9}{10} $

- Whole: $ 3 + 4 + 6 = 13 $
- Fractions: $ \frac{3}{10} + \frac{7}{10} + \frac{9}{10} = \frac{19}{10} = 1\frac{9}{10} $
- Total: $ 13 + 1\frac{9}{10} = 14\frac{9}{10} $

✔ Answer: $ 14\frac{9}{10} $

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Problem 13:

$ 1\frac{7}{12} + 3\frac{5}{12} + 2\frac{11}{12} $

- Whole: $ 1 + 3 + 2 = 6 $
- Fractions: $ \frac{7}{12} + \frac{5}{12} + \frac{11}{12} = \frac{23}{12} = 1\frac{11}{12} $
- Total: $ 6 + 1\frac{11}{12} = 7\frac{11}{12} $

✔ Answer: $ 7\frac{11}{12} $

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Problem 14:

$ 4\frac{3}{7} + 2\frac{2}{7} + 3\frac{1}{7} $

- Whole: $ 4 + 2 + 3 = 9 $
- Fractions: $ \frac{3}{7} + \frac{2}{7} + \frac{1}{7} = \frac{6}{7} $
- Total: $ 9\frac{6}{7} $

✔ Answer: $ 9\frac{6}{7} $

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Problem 15:

$ 1\frac{5}{8} + 3\frac{2}{8} + 4\frac{3}{8} $

Note: $ \frac{2}{8} = \frac{1}{4} $, but we can keep as is since denominators are same.

- Whole: $ 1 + 3 + 4 = 8 $
- Fractions: $ \frac{5}{8} + \frac{2}{8} + \frac{3}{8} = \frac{10}{8} = 1\frac{2}{8} = 1\frac{1}{4} $
- Total: $ 8 + 1\frac{1}{4} = 9\frac{1}{4} $

✔ Answer: $ 9\frac{1}{4} $

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Problem 16:

$ 2\frac{3}{9} + 3\frac{5}{9} + 4\frac{4}{9} $

Simplify: $ \frac{3}{9} = \frac{1}{3} $, $ \frac{5}{9} $, $ \frac{4}{9} $ — but keep as is for addition.

- Whole: $ 2 + 3 + 4 = 9 $
- Fractions: $ \frac{3}{9} + \frac{5}{9} + \frac{4}{9} = \frac{12}{9} = 1\frac{3}{9} = 1\frac{1}{3} $
- Total: $ 9 + 1\frac{1}{3} = 10\frac{1}{3} $

✔ Answer: $ 10\frac{1}{3} $

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Problem 17:

$ 3\frac{2}{11} + 2\frac{1}{11} + 1\frac{2}{11} $

- Whole: $ 3 + 2 + 1 = 6 $
- Fractions: $ \frac{2}{11} + \frac{1}{11} + \frac{2}{11} = \frac{5}{11} $
- Total: $ 6\frac{5}{11} $

✔ Answer: $ 6\frac{5}{11} $

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Problem 18:

$ 5\frac{5}{8} + 4\frac{3}{8} + 6\frac{7}{8} $

- Whole: $ 5 + 4 + 6 = 15 $
- Fractions: $ \frac{5}{8} + \frac{3}{8} + \frac{7}{8} = \frac{15}{8} = 1\frac{7}{8} $
- Total: $ 15 + 1\frac{7}{8} = 16\frac{7}{8} $

✔ Answer: $ 16\frac{7}{8} $

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Problem 19:

$ 3\frac{3}{11} + 2\frac{4}{11} + 5\frac{4}{11} $

- Whole: $ 3 + 2 + 5 = 10 $
- Fractions: $ \frac{3}{11} + \frac{4}{11} + \frac{4}{11} = \frac{11}{11} = 1 $
- Total: $ 10 + 1 = 11 $

✔ Answer: $ 11 $

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Problem 20:

$ 2\frac{2}{15} + 3\frac{7}{15} + 2\frac{4}{15} $

- Whole: $ 2 + 3 + 2 = 7 $
- Fractions: $ \frac{2}{15} + \frac{7}{15} + \frac{4}{15} = \frac{13}{15} $
- Total: $ 7\frac{13}{15} $

✔ Answer: $ 7\frac{13}{15} $

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1 | $ 7\frac{1}{5} $ |
| 2 | $ 13\frac{1}{6} $ |
| 3 | $ 11\frac{3}{7} $ |
| 4 | $ 10\frac{1}{4} $ |
| 5 | $ 10\frac{11}{12} $ |
| 6 | $ 7\frac{5}{9} $ |
| 7 | $ 10\frac{1}{11} $ |
| 8 | $ 7\frac{7}{8} $ |
| 9 | $ 11\frac{7}{13} $ |
| 10 | $ 9\frac{6}{7} $ |
| 11 | $ 7\frac{1}{6} $ |
| 12 | $ 14\frac{9}{10} $ |
| 13 | $ 7\frac{11}{12} $ |
| 14 | $ 9\frac{6}{7} $ |
| 15 | $ 9\frac{1}{4} $ |
| 16 | $ 10\frac{1}{3} $ |
| 17 | $ 6\frac{5}{11} $ |
| 18 | $ 16\frac{7}{8} $ |
| 19 | $ 11 $ |
| 20 | $ 7\frac{13}{15} $ |

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🔍 Key Tips:

- Always add whole numbers separately from fractions.
- When adding fractions, if the result is improper, convert to a mixed number and carry over the whole number.
- Simplify fractions only if needed (e.g., $ \frac{10}{8} = 1\frac{1}{4} $).

Let me know if you'd like this in a printable format or need help with subtraction or multiplication of mixed numbers!