Grade 5 Improper Fractions Worksheets | Free Worksheets | Printables - Free Printable

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

Steps to Convert an Improper Fraction to a Mixed Number:

1. Divide the numerator by the denominator to find the whole number part.
2. The quotient becomes the whole number part of the mixed number.
3. The remainder becomes the numerator of the fractional part.
4. The denominator remains the same.

Let's solve each problem step by step.

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1. $\frac{25}{6}$

- Divide $25 \div 6$:
- Quotient = $4$, Remainder = $1$.
- Mixed number: $4 \frac{1}{6}$.

2. $\frac{27}{5}$

- Divide $27 \div 5$:
- Quotient = $5$, Remainder = $2$.
- Mixed number: $5 \frac{2}{5}$.

3. $\frac{25}{8}$

- Divide $25 \div 8$:
- Quotient = $3$, Remainder = $1$.
- Mixed number: $3 \frac{1}{8}$.

4. $\frac{38}{6}$

- Divide $38 \div 6$:
- Quotient = $6$, Remainder = $2$.
- Mixed number: $6 \frac{2}{6}$ (simplify $\frac{2}{6}$ to $\frac{1}{3}$).
- Final answer: $6 \frac{1}{3}$.

5. $\frac{19}{3}$

- Divide $19 \div 3$:
- Quotient = $6$, Remainder = $1$.
- Mixed number: $6 \frac{1}{3}$.

6. $\frac{36}{11}$

- Divide $36 \div 11$:
- Quotient = $3$, Remainder = $3$.
- Mixed number: $3 \frac{3}{11}$.

7. $\frac{49}{8}$

- Divide $49 \div 8$:
- Quotient = $6$, Remainder = $1$.
- Mixed number: $6 \frac{1}{8}$.

8. $\frac{62}{5}$

- Divide $62 \div 5$:
- Quotient = $12$, Remainder = $2$.
- Mixed number: $12 \frac{2}{5}$.

9. $\frac{43}{7}$

- Divide $43 \div 7$:
- Quotient = $6$, Remainder = $1$.
- Mixed number: $6 \frac{1}{7}$.

10. $\frac{29}{9}$

- Divide $29 \div 9$:
- Quotient = $3$, Remainder = $2$.
- Mixed number: $3 \frac{2}{9}$.

11. $\frac{67}{6}$

- Divide $67 \div 6$:
- Quotient = $11$, Remainder = $1$.
- Mixed number: $11 \frac{1}{6}$.

12. $\frac{35}{8}$

- Divide $35 \div 8$:
- Quotient = $4$, Remainder = $3$.
- Mixed number: $4 \frac{3}{8}$.

13. $\frac{79}{11}$

- Divide $79 \div 11$:
- Quotient = $7$, Remainder = $2$.
- Mixed number: $7 \frac{2}{11}$.

14. $\frac{77}{12}$

- Divide $77 \div 12$:
- Quotient = $6$, Remainder = $5$.
- Mixed number: $6 \frac{5}{12}$.

15. $\frac{109}{9}$

- Divide $109 \div 9$:
- Quotient = $12$, Remainder = $1$.
- Mixed number: $12 \frac{1}{9}$.

16. $\frac{57}{9}$

- Divide $57 \div 9$:
- Quotient = $6$, Remainder = $3$.
- Mixed number: $6 \frac{3}{9}$ (simplify $\frac{3}{9}$ to $\frac{1}{3}$).
- Final answer: $6 \frac{1}{3}$.

17. $\frac{40}{6}$

- Divide $40 \div 6$:
- Quotient = $6$, Remainder = $4$.
- Mixed number: $6 \frac{4}{6}$ (simplify $\frac{4}{6}$ to $\frac{2}{3}$).
- Final answer: $6 \frac{2}{3}$.

18. $\frac{52}{7}$

- Divide $52 \div 7$:
- Quotient = $7$, Remainder = $3$.
- Mixed number: $7 \frac{3}{7}$.

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Final Answers:

\[
\boxed{
\begin{array}{ccc}
1. & 4 \frac{1}{6} & 7. & 6 \frac{1}{8} & 13. & 7 \frac{2}{11} \\
2. & 5 \frac{2}{5} & 8. & 12 \frac{2}{5} & 14. & 6 \frac{5}{12} \\
3. & 3 \frac{1}{8} & 9. & 6 \frac{1}{7} & 15. & 12 \frac{1}{9} \\
4. & 6 \frac{1}{3} & 10. & 3 \frac{2}{9} & 16. & 6 \frac{1}{3} \\
5. & 6 \frac{1}{3} & 11. & 11 \frac{1}{6} & 17. & 6 \frac{2}{3} \\
6. & 3 \frac{3}{11} & 12. & 4 \frac{3}{8} & 18. & 7 \frac{3}{7} \\
\end{array}
}
\]