Grade 5 fractions worksheet for practicing completing whole numbers using mixed numbers and fractions.

Let's solve each problem in the worksheet step by step. The goal is to find the missing fraction or mixed number that, when added to the given number, results in the whole number on the right side.

We'll use the concept:
> Missing part = Whole – Given part

We’ll convert mixed numbers to improper fractions when needed, perform subtraction, and simplify.

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1. $ 2\frac{2}{4} + \_\_\_\_ = 5 $

Convert $ 2\frac{2}{4} $ to improper fraction:
- $ 2\frac{2}{4} = \frac{10}{4} $
- $ 5 = \frac{20}{4} $
- Missing: $ \frac{20}{4} - \frac{10}{4} = \frac{10}{4} = 2\frac{2}{4} $ → Simplify: $ 2\frac{1}{2} $

✔ Answer: $ 2\frac{1}{2} $

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2. $ 5\frac{1}{5} + \_\_\_\_ = 7 $

- $ 5\frac{1}{5} = \frac{26}{5} $
- $ 7 = \frac{35}{5} $
- Missing: $ \frac{35}{5} - \frac{26}{5} = \frac{9}{5} = 1\frac{4}{5} $

✔ Answer: $ 1\frac{4}{5} $

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3. $ 5\frac{2}{7} + \_\_\_\_ = 7 $

- $ 5\frac{2}{7} = \frac{37}{7} $
- $ 7 = \frac{49}{7} $
- Missing: $ \frac{49}{7} - \frac{37}{7} = \frac{12}{7} = 1\frac{5}{7} $

✔ Answer: $ 1\frac{5}{7} $

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4. $ 3\frac{1}{3} + \_\_\_\_ = 5 $

- $ 3\frac{1}{3} = \frac{10}{3} $
- $ 5 = \frac{15}{3} $
- Missing: $ \frac{15}{3} - \frac{10}{3} = \frac{5}{3} = 1\frac{2}{3} $

✔ Answer: $ 1\frac{2}{3} $

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5. $ 7\frac{1}{2} + \_\_\_\_ = 8 $

- $ 7\frac{1}{2} = \frac{15}{2} $
- $ 8 = \frac{16}{2} $
- Missing: $ \frac{16}{2} - \frac{15}{2} = \frac{1}{2} $

✔ Answer: $ \frac{1}{2} $

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6. $ 8\frac{1}{3} + \_\_\_\_ = 10 $

- $ 8\frac{1}{3} = \frac{25}{3} $
- $ 10 = \frac{30}{3} $
- Missing: $ \frac{30}{3} - \frac{25}{3} = \frac{5}{3} = 1\frac{2}{3} $

✔ Answer: $ 1\frac{2}{3} $

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7. $ 3\frac{2}{9} + \_\_\_\_ = 4 $

- $ 3\frac{2}{9} = \frac{29}{9} $
- $ 4 = \frac{36}{9} $
- Missing: $ \frac{36}{9} - \frac{29}{9} = \frac{7}{9} $

✔ Answer: $ \frac{7}{9} $

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8. $ 4\frac{5}{11} + \_\_\_\_ = 6 $

- $ 4\frac{5}{11} = \frac{49}{11} $
- $ 6 = \frac{66}{11} $
- Missing: $ \frac{66}{11} - \frac{49}{11} = \frac{17}{11} = 1\frac{6}{11} $

✔ Answer: $ 1\frac{6}{11} $

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9. $ 5\frac{2}{11} + \_\_\_\_ = 6 $

- $ 5\frac{2}{11} = \frac{57}{11} $
- $ 6 = \frac{66}{11} $
- Missing: $ \frac{66}{11} - \frac{57}{11} = \frac{9}{11} $

✔ Answer: $ \frac{9}{11} $

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10. $ 4\frac{4}{5} + \_\_\_\_ = 6 $

- $ 4\frac{4}{5} = \frac{24}{5} $
- $ 6 = \frac{30}{5} $
- Missing: $ \frac{30}{5} - \frac{24}{5} = \frac{6}{5} = 1\frac{1}{5} $

✔ Answer: $ 1\frac{1}{5} $

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11. $ 1\frac{5}{8} + \_\_\_\_ = 2 $

- $ 1\frac{5}{8} = \frac{13}{8} $
- $ 2 = \frac{16}{8} $
- Missing: $ \frac{16}{8} - \frac{13}{8} = \frac{3}{8} $

✔ Answer: $ \frac{3}{8} $

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12. $ 4\frac{2}{6} + \_\_\_\_ = 6 $

Simplify $ 4\frac{2}{6} = 4\frac{1}{3} $
- $ 4\frac{1}{3} = \frac{13}{3} $
- $ 6 = \frac{18}{3} $
- Missing: $ \frac{18}{3} - \frac{13}{3} = \frac{5}{3} = 1\frac{2}{3} $

✔ Answer: $ 1\frac{2}{3} $

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13. $ 2\frac{3}{7} + \_\_\_\_ = 3 $

- $ 2\frac{3}{7} = \frac{17}{7} $
- $ 3 = \frac{21}{7} $
- Missing: $ \frac{21}{7} - \frac{17}{7} = \frac{4}{7} $

✔ Answer: $ \frac{4}{7} $

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14. $ 7\frac{1}{3} + \_\_\_\_ = 11 $

- $ 7\frac{1}{3} = \frac{22}{3} $
- $ 11 = \frac{33}{3} $
- Missing: $ \frac{33}{3} - \frac{22}{3} = \frac{11}{3} = 3\frac{2}{3} $

✔ Answer: $ 3\frac{2}{3} $

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1 | $ 2\frac{1}{2} $ |
| 2 | $ 1\frac{4}{5} $ |
| 3 | $ 1\frac{5}{7} $ |
| 4 | $ 1\frac{2}{3} $ |
| 5 | $ \frac{1}{2} $ |
| 6 | $ 1\frac{2}{3} $ |
| 7 | $ \frac{7}{9} $ |
| 8 | $ 1\frac{6}{11} $ |
| 9 | $ \frac{9}{11} $ |
| 10 | $ 1\frac{1}{5} $ |
| 11 | $ \frac{3}{8} $ |
| 12 | $ 1\frac{2}{3} $ |
| 13 | $ \frac{4}{7} $ |
| 14 | $ 3\frac{2}{3} $ |

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📌 Explanation Summary:

To find the missing number:
1. Convert the mixed number to an improper fraction.
2. Write the whole number as a fraction with the same denominator.
3. Subtract the two fractions.
4. Simplify the result (convert back to mixed number if needed).

This method ensures accuracy and helps understand how parts combine to make a whole.

Let me know if you'd like this as a printable answer key!