Improper Fraction to Mixed Number - Worksheet Digital - Free Printable

To solve the problem of converting improper fractions to mixed numbers, we need to follow these steps:

Steps to Convert an Improper Fraction to a Mixed Number:

1. Divide the numerator by the denominator to find the whole number part.
2. Find the remainder of the division.
3. Write the result as a mixed number: The whole number part is the quotient, and the remainder becomes the numerator of the fractional part, with the original denominator remaining the same.

Let's solve each problem step by step.

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1) $\frac{13}{8}$

- Divide $13 \div 8$:
- Quotient = $1$, Remainder = $5$.
- Write as a mixed number: $1 \frac{5}{8}$.

Answer: $\boxed{1 \frac{5}{8}}$

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2) $\frac{29}{5}$

- Divide $29 \div 5$:
- Quotient = $5$, Remainder = $4$.
- Write as a mixed number: $5 \frac{4}{5}$.

Answer: $\boxed{5 \frac{4}{5}}$

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3) $\frac{11}{7}$

- Divide $11 \div 7$:
- Quotient = $1$, Remainder = $4$.
- Write as a mixed number: $1 \frac{4}{7}$.

Answer: $\boxed{1 \frac{4}{7}}$

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4) $\frac{36}{7}$

- Divide $36 \div 7$:
- Quotient = $5$, Remainder = $1$.
- Write as a mixed number: $5 \frac{1}{7}$.

Answer: $\boxed{5 \frac{1}{7}}$

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5) $\frac{66}{8}$

- Divide $66 \div 8$:
- Quotient = $8$, Remainder = $2$.
- Write as a mixed number: $8 \frac{2}{8}$.
- Simplify the fractional part: $\frac{2}{8} = \frac{1}{4}$.
- Final answer: $8 \frac{1}{4}$.

Answer: $\boxed{8 \frac{1}{4}}$

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6) $\frac{49}{8}$

- Divide $49 \div 8$:
- Quotient = $6$, Remainder = $1$.
- Write as a mixed number: $6 \frac{1}{8}$.

Answer: $\boxed{6 \frac{1}{8}}$

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7) $\frac{53}{10}$

- Divide $53 \div 10$:
- Quotient = $5$, Remainder = $3$.
- Write as a mixed number: $5 \frac{3}{10}$.

Answer: $\boxed{5 \frac{3}{10}}$

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8) $\frac{37}{6}$

- Divide $37 \div 6$:
- Quotient = $6$, Remainder = $1$.
- Write as a mixed number: $6 \frac{1}{6}$.

Answer: $\boxed{6 \frac{1}{6}}$

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9) $\frac{86}{9}$

- Divide $86 \div 9$:
- Quotient = $9$, Remainder = $5$.
- Write as a mixed number: $9 \frac{5}{9}$.

Answer: $\boxed{9 \frac{5}{9}}$

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10) $\frac{98}{12}$

- Divide $98 \div 12$:
- Quotient = $8$, Remainder = $2$.
- Write as a mixed number: $8 \frac{2}{12}$.
- Simplify the fractional part: $\frac{2}{12} = \frac{1}{6}$.
- Final answer: $8 \frac{1}{6}$.

Answer: $\boxed{8 \frac{1}{6}}$

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11) $\frac{72}{10}$

- Divide $72 \div 10$:
- Quotient = $7$, Remainder = $2$.
- Write as a mixed number: $7 \frac{2}{10}$.
- Simplify the fractional part: $\frac{2}{10} = \frac{1}{5}$.
- Final answer: $7 \frac{1}{5}$.

Answer: $\boxed{7 \frac{1}{5}}$

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12) $\frac{38}{6}$

- Divide $38 \div 6$:
- Quotient = $6$, Remainder = $2$.
- Write as a mixed number: $6 \frac{2}{6}$.
- Simplify the fractional part: $\frac{2}{6} = \frac{1}{3}$.
- Final answer: $6 \frac{1}{3}$.

Answer: $\boxed{6 \frac{1}{3}}$

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13) $\frac{84}{11}$

- Divide $84 \div 11$:
- Quotient = $7$, Remainder = $7$.
- Write as a mixed number: $7 \frac{7}{11}$.

Answer: $\boxed{7 \frac{7}{11}}$

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14) $\frac{40}{9}$

- Divide $40 \div 9$:
- Quotient = $4$, Remainder = $4$.
- Write as a mixed number: $4 \frac{4}{9}$.

Answer: $\boxed{4 \frac{4}{9}}$

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15) $\frac{52}{6}$

- Divide $52 \div 6$:
- Quotient = $8$, Remainder = $4$.
- Write as a mixed number: $8 \frac{4}{6}$.
- Simplify the fractional part: $\frac{4}{6} = \frac{2}{3}$.
- Final answer: $8 \frac{2}{3}$.

Answer: $\boxed{8 \frac{2}{3}}$

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Final Answers:

1. $\boxed{1 \frac{5}{8}}$
2. $\boxed{5 \frac{4}{5}}$
3. $\boxed{1 \frac{4}{7}}$
4. $\boxed{5 \frac{1}{7}}$
5. $\boxed{8 \frac{1}{4}}$
6. $\boxed{6 \frac{1}{8}}$
7. $\boxed{5 \frac{3}{10}}$
8. $\boxed{6 \frac{1}{6}}$
9. $\boxed{9 \frac{5}{9}}$
10. $\boxed{8 \frac{1}{6}}$
11. $\boxed{7 \frac{1}{5}}$
12. $\boxed{6 \frac{1}{3}}$
13. $\boxed{7 \frac{7}{11}}$
14. $\boxed{4 \frac{4}{9}}$
15. $\boxed{8 \frac{2}{3}}$