This worksheet helps students practice converting mixed numbers into improper fractions through 18 structured exercises.

To convert mixed fractions into top-heavy (improper) fractions, follow these steps:

Steps:

1. Multiply the whole number part by the denominator of the fractional part.
2. Add the result to the numerator of the fractional part.
3. Write the sum as the new numerator, keeping the original denominator.

Let's solve each problem step by step.

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1) \( 8 \frac{2}{8} \)

- Whole number: \( 8 \)
- Fraction: \( \frac{2}{8} \)
- Multiply: \( 8 \times 8 = 64 \)
- Add: \( 64 + 2 = 66 \)
- Result: \( \frac{66}{8} \)

Answer: \( \frac{66}{8} \)

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2) \( 5 \frac{3}{7} \)

- Whole number: \( 5 \)
- Fraction: \( \frac{3}{7} \)
- Multiply: \( 5 \times 7 = 35 \)
- Add: \( 35 + 3 = 38 \)
- Result: \( \frac{38}{7} \)

Answer: \( \frac{38}{7} \)

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3) \( 2 \frac{8}{9} \)

- Whole number: \( 2 \)
- Fraction: \( \frac{8}{9} \)
- Multiply: \( 2 \times 9 = 18 \)
- Add: \( 18 + 8 = 26 \)
- Result: \( \frac{26}{9} \)

Answer: \( \frac{26}{9} \)

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4) \( 4 \frac{3}{4} \)

- Whole number: \( 4 \)
- Fraction: \( \frac{3}{4} \)
- Multiply: \( 4 \times 4 = 16 \)
- Add: \( 16 + 3 = 19 \)
- Result: \( \frac{19}{4} \)

Answer: \( \frac{19}{4} \)

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5) \( 15 \frac{1}{3} \)

- Whole number: \( 15 \)
- Fraction: \( \frac{1}{3} \)
- Multiply: \( 15 \times 3 = 45 \)
- Add: \( 45 + 1 = 46 \)
- Result: \( \frac{46}{3} \)

Answer: \( \frac{46}{3} \)

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6) \( 25 \frac{1}{2} \)

- Whole number: \( 25 \)
- Fraction: \( \frac{1}{2} \)
- Multiply: \( 25 \times 2 = 50 \)
- Add: \( 50 + 1 = 51 \)
- Result: \( \frac{51}{2} \)

Answer: \( \frac{51}{2} \)

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7) \( 3 \frac{2}{3} \)

- Whole number: \( 3 \)
- Fraction: \( \frac{2}{3} \)
- Multiply: \( 3 \times 3 = 9 \)
- Add: \( 9 + 2 = 11 \)
- Result: \( \frac{11}{3} \)

Answer: \( \frac{11}{3} \)

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8) \( 8 \frac{1}{6} \)

- Whole number: \( 8 \)
- Fraction: \( \frac{1}{6} \)
- Multiply: \( 8 \times 6 = 48 \)
- Add: \( 48 + 1 = 49 \)
- Result: \( \frac{49}{6} \)

Answer: \( \frac{49}{6} \)

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9) \( 6 \frac{4}{5} \)

- Whole number: \( 6 \)
- Fraction: \( \frac{4}{5} \)
- Multiply: \( 6 \times 5 = 30 \)
- Add: \( 30 + 4 = 34 \)
- Result: \( \frac{34}{5} \)

Answer: \( \frac{34}{5} \)

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10) \( 5 \frac{4}{9} \)

- Whole number: \( 5 \)
- Fraction: \( \frac{4}{9} \)
- Multiply: \( 5 \times 9 = 45 \)
- Add: \( 45 + 4 = 49 \)
- Result: \( \frac{49}{9} \)

Answer: \( \frac{49}{9} \)

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11) \( 6 \frac{2}{4} \)

- Whole number: \( 6 \)
- Fraction: \( \frac{2}{4} \)
- Multiply: \( 6 \times 4 = 24 \)
- Add: \( 24 + 2 = 26 \)
- Result: \( \frac{26}{4} \)

Answer: \( \frac{26}{4} \)

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12) \( 5 \frac{10}{5} \)

- Whole number: \( 5 \)
- Fraction: \( \frac{10}{5} \)
- Multiply: \( 5 \times 5 = 25 \)
- Add: \( 25 + 10 = 35 \)
- Result: \( \frac{35}{5} \)

Answer: \( \frac{35}{5} \)

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13) \( 2 \frac{8}{12} \)

- Whole number: \( 2 \)
- Fraction: \( \frac{8}{12} \)
- Multiply: \( 2 \times 12 = 24 \)
- Add: \( 24 + 8 = 32 \)
- Result: \( \frac{32}{12} \)

Answer: \( \frac{32}{12} \)

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14) \( 15 \frac{1}{3} \)

- Whole number: \( 15 \)
- Fraction: \( \frac{1}{3} \)
- Multiply: \( 15 \times 3 = 45 \)
- Add: \( 45 + 1 = 46 \)
- Result: \( \frac{46}{3} \)

Answer: \( \frac{46}{3} \)

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15) \( 5 \frac{4}{6} \)

- Whole number: \( 5 \)
- Fraction: \( \frac{4}{6} \)
- Multiply: \( 5 \times 6 = 30 \)
- Add: \( 30 + 4 = 34 \)
- Result: \( \frac{34}{6} \)

Answer: \( \frac{34}{6} \)

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16) \( 7 \frac{2}{8} \)

- Whole number: \( 7 \)
- Fraction: \( \frac{2}{8} \)
- Multiply: \( 7 \times 8 = 56 \)
- Add: \( 56 + 2 = 58 \)
- Result: \( \frac{58}{8} \)

Answer: \( \frac{58}{8} \)

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17) \( 9 \frac{9}{10} \)

- Whole number: \( 9 \)
- Fraction: \( \frac{9}{10} \)
- Multiply: \( 9 \times 10 = 90 \)
- Add: \( 90 + 9 = 99 \)
- Result: \( \frac{99}{10} \)

Answer: \( \frac{99}{10} \)

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18) \( 8 \frac{3}{2} \)

- Whole number: \( 8 \)
- Fraction: \( \frac{3}{2} \)
- Multiply: \( 8 \times 2 = 16 \)
- Add: \( 16 + 3 = 19 \)
- Result: \( \frac{19}{2} \)

Answer: \( \frac{19}{2} \)

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Final Answers:

\[
\boxed{
\begin{array}{ccc}
1) & \frac{66}{8} & 2) & \frac{38}{7} & 3) & \frac{26}{9} \\
4) & \frac{19}{4} & 5) & \frac{46}{3} & 6) & \frac{51}{2} \\
7) & \frac{11}{3} & 8) & \frac{49}{6} & 9) & \frac{34}{5} \\
10) & \frac{49}{9} & 11) & \frac{26}{4} & 12) & \frac{35}{5} \\
13) & \frac{32}{12} & 14) & \frac{46}{3} & 15) & \frac{34}{6} \\
16) & \frac{58}{8} & 17) & \frac{99}{10} & 18) & \frac{19}{2}
\end{array}
}
\]