Convert mixed numbers to improper fractions with this engaging math worksheet for kids.

To convert a mixed number to an improper fraction, follow these steps:

1. Multiply the whole number 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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Problem 1: \( 7 \frac{1}{3} \)

- Whole number: \( 7 \)
- Fraction: \( \frac{1}{3} \)

Step 1: Multiply the whole number by the denominator:
\[ 7 \times 3 = 21 \]

Step 2: Add the result to the numerator:
\[ 21 + 1 = 22 \]

Step 3: Write the new numerator over the original denominator:
\[ \frac{22}{3} \]

Answer: \( \frac{22}{3} \)

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Problem 2: \( 7 \frac{9}{10} \)

- Whole number: \( 7 \)
- Fraction: \( \frac{9}{10} \)

Step 1: Multiply the whole number by the denominator:
\[ 7 \times 10 = 70 \]

Step 2: Add the result to the numerator:
\[ 70 + 9 = 79 \]

Step 3: Write the new numerator over the original denominator:
\[ \frac{79}{10} \]

Answer: \( \frac{79}{10} \)

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Problem 3: \( 7 \frac{3}{4} \)

- Whole number: \( 7 \)
- Fraction: \( \frac{3}{4} \)

Step 1: Multiply the whole number by the denominator:
\[ 7 \times 4 = 28 \]

Step 2: Add the result to the numerator:
\[ 28 + 3 = 31 \]

Step 3: Write the new numerator over the original denominator:
\[ \frac{31}{4} \]

Answer: \( \frac{31}{4} \)

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Problem 4: \( 2 \frac{1}{2} \)

- Whole number: \( 2 \)
- Fraction: \( \frac{1}{2} \)

Step 1: Multiply the whole number by the denominator:
\[ 2 \times 2 = 4 \]

Step 2: Add the result to the numerator:
\[ 4 + 1 = 5 \]

Step 3: Write the new numerator over the original denominator:
\[ \frac{5}{2} \]

Answer: \( \frac{5}{2} \)

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Problem 5: \( 8 \frac{4}{7} \)

- Whole number: \( 8 \)
- Fraction: \( \frac{4}{7} \)

Step 1: Multiply the whole number by the denominator:
\[ 8 \times 7 = 56 \]

Step 2: Add the result to the numerator:
\[ 56 + 4 = 60 \]

Step 3: Write the new numerator over the original denominator:
\[ \frac{60}{7} \]

Answer: \( \frac{60}{7} \)

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Problem 6: \( 2 \frac{3}{5} \)

- Whole number: \( 2 \)
- Fraction: \( \frac{3}{5} \)

Step 1: Multiply the whole number by the denominator:
\[ 2 \times 5 = 10 \]

Step 2: Add the result to the numerator:
\[ 10 + 3 = 13 \]

Step 3: Write the new numerator over the original denominator:
\[ \frac{13}{5} \]

Answer: \( \frac{13}{5} \)

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Problem 7: \( 3 \frac{5}{8} \)

- Whole number: \( 3 \)
- Fraction: \( \frac{5}{8} \)

Step 1: Multiply the whole number by the denominator:
\[ 3 \times 8 = 24 \]

Step 2: Add the result to the numerator:
\[ 24 + 5 = 29 \]

Step 3: Write the new numerator over the original denominator:
\[ \frac{29}{8} \]

Answer: \( \frac{29}{8} \)

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Problem 8: \( 6 \frac{7}{9} \)

- Whole number: \( 6 \)
- Fraction: \( \frac{7}{9} \)

Step 1: Multiply the whole number by the denominator:
\[ 6 \times 9 = 54 \]

Step 2: Add the result to the numerator:
\[ 54 + 7 = 61 \]

Step 3: Write the new numerator over the original denominator:
\[ \frac{61}{9} \]

Answer: \( \frac{61}{9} \)

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Problem 9: \( 9 \frac{1}{8} \)

- Whole number: \( 9 \)
- Fraction: \( \frac{1}{8} \)

Step 1: Multiply the whole number by the denominator:
\[ 9 \times 8 = 72 \]

Step 2: Add the result to the numerator:
\[ 72 + 1 = 73 \]

Step 3: Write the new numerator over the original denominator:
\[ \frac{73}{8} \]

Answer: \( \frac{73}{8} \)

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Problem 10: \( 6 \frac{2}{5} \)

- Whole number: \( 6 \)
- Fraction: \( \frac{2}{5} \)

Step 1: Multiply the whole number by the denominator:
\[ 6 \times 5 = 30 \]

Step 2: Add the result to the numerator:
\[ 30 + 2 = 32 \]

Step 3: Write the new numerator over the original denominator:
\[ \frac{32}{5} \]

Answer: \( \frac{32}{5} \)

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Problem 11: \( 4 \frac{1}{3} \)

- Whole number: \( 4 \)
- Fraction: \( \frac{1}{3} \)

Step 1: Multiply the whole number by the denominator:
\[ 4 \times 3 = 12 \]

Step 2: Add the result to the numerator:
\[ 12 + 1 = 13 \]

Step 3: Write the new numerator over the original denominator:
\[ \frac{13}{3} \]

Answer: \( \frac{13}{3} \)

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Problem 12: \( 2 \frac{2}{3} \)

- Whole number: \( 2 \)
- Fraction: \( \frac{2}{3} \)

Step 1: Multiply the whole number by the denominator:
\[ 2 \times 3 = 6 \]

Step 2: Add the result to the numerator:
\[ 6 + 2 = 8 \]

Step 3: Write the new numerator over the original denominator:
\[ \frac{8}{3} \]

Answer: \( \frac{8}{3} \)

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Problem 13: \( 8 \frac{1}{2} \)

- Whole number: \( 8 \)
- Fraction: \( \frac{1}{2} \)

Step 1: Multiply the whole number by the denominator:
\[ 8 \times 2 = 16 \]

Step 2: Add the result to the numerator:
\[ 16 + 1 = 17 \]

Step 3: Write the new numerator over the original denominator:
\[ \frac{17}{2} \]

Answer: \( \frac{17}{2} \)

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Problem 14: \( 4 \frac{3}{10} \)

- Whole number: \( 4 \)
- Fraction: \( \frac{3}{10} \)

Step 1: Multiply the whole number by the denominator:
\[ 4 \times 10 = 40 \]

Step 2: Add the result to the numerator:
\[ 40 + 3 = 43 \]

Step 3: Write the new numerator over the original denominator:
\[ \frac{43}{10} \]

Answer: \( \frac{43}{10} \)

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Problem 15: \( 8 \frac{4}{5} \)

- Whole number: \( 8 \)
- Fraction: \( \frac{4}{5} \)

Step 1: Multiply the whole number by the denominator:
\[ 8 \times 5 = 40 \]

Step 2: Add the result to the numerator:
\[ 40 + 4 = 44 \]

Step 3: Write the new numerator over the original denominator:
\[ \frac{44}{5} \]

Answer: \( \frac{44}{5} \)

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Final Answers:

\[
\boxed{
\begin{array}{lll}
1) & \frac{22}{3} & 2) & \frac{79}{10} & 3) & \frac{31}{4} \\
4) & \frac{5}{2} & 5) & \frac{60}{7} & 6) & \frac{13}{5} \\
7) & \frac{29}{8} & 8) & \frac{61}{9} & 9) & \frac{73}{8} \\
10) & \frac{32}{5} & 11) & \frac{13}{3} & 12) & \frac{8}{3} \\
13) & \frac{17}{2} & 14) & \frac{43}{10} & 15) & \frac{44}{5}
\end{array}
}
\]