Improper Fractions worksheet for Grade 5 students to convert improper fractions to mixed numbers.

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. $\frac{16}{5}$

- Divide $16 \div 5$:
- Quotient = $3$, Remainder = $1$.
- Mixed number: $3 \frac{1}{5}$.

2. $\frac{22}{4}$

- Divide $22 \div 4$:
- Quotient = $5$, Remainder = $2$.
- Mixed number: $5 \frac{2}{4}$ (simplify $\frac{2}{4}$ to $\frac{1}{2}$).
- Final answer: $5 \frac{1}{2}$.

3. $\frac{33}{10}$

- Divide $33 \div 10$:
- Quotient = $3$, Remainder = $3$.
- Mixed number: $3 \frac{3}{10}$.

4. $\frac{12}{5}$

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

5. $\frac{36}{5}$

- Divide $36 \div 5$:
- Quotient = $7$, Remainder = $1$.
- Mixed number: $7 \frac{1}{5}$.

6. $\frac{27}{8}$

- Divide $27 \div 8$:
- Quotient = $3$, Remainder = $3$.
- Mixed number: $3 \frac{3}{8}$.

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

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

8. $\frac{30}{7}$

- Divide $30 \div 7$:
- Quotient = $4$, Remainder = $2$.
- Mixed number: $4 \frac{2}{7}$.

9. $\frac{52}{12}$

- Divide $52 \div 12$:
- Quotient = $4$, Remainder = $4$.
- Mixed number: $4 \frac{4}{12}$ (simplify $\frac{4}{12}$ to $\frac{1}{3}$).
- Final answer: $4 \frac{1}{3}$.

10. $\frac{83}{9}$

- Divide $83 \div 9$:
- Quotient = $9$, Remainder = $2$.
- Mixed number: $9 \frac{2}{9}$.

11. $\frac{44}{7}$

- Divide $44 \div 7$:
- Quotient = $6$, Remainder = $2$.
- Mixed number: $6 \frac{2}{7}$.

12. $\frac{65}{8}$

- Divide $65 \div 8$:
- Quotient = $8$, Remainder = $1$.
- Mixed number: $8 \frac{1}{8}$.

13. $\frac{25}{12}$

- Divide $25 \div 12$:
- Quotient = $2$, Remainder = $1$.
- Mixed number: $2 \frac{1}{12}$.

14. $\frac{46}{15}$

- Divide $46 \div 15$:
- Quotient = $3$, Remainder = $1$.
- Mixed number: $3 \frac{1}{15}$.

15. $\frac{112}{10}$

- Divide $112 \div 10$:
- Quotient = $11$, Remainder = $2$.
- Mixed number: $11 \frac{2}{10}$ (simplify $\frac{2}{10}$ to $\frac{1}{5}$).
- Final answer: $11 \frac{1}{5}$.

16. $\frac{40}{9}$

- Divide $40 \div 9$:
- Quotient = $4$, Remainder = $4$.
- Mixed number: $4 \frac{4}{9}$.

17. $\frac{37}{6}$

- Divide $37 \div 6$:
- Quotient = $6$, Remainder = $1$.
- Mixed number: $6 \frac{1}{6}$.

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

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

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Final Answers:

1. $3 \frac{1}{5}$
2. $5 \frac{1}{2}$
3. $3 \frac{3}{10}$
4. $2 \frac{2}{5}$
5. $7 \frac{1}{5}$
6. $3 \frac{3}{8}$
7. $3 \frac{2}{9}$
8. $4 \frac{2}{7}$
9. $4 \frac{1}{3}$
10. $9 \frac{2}{9}$
11. $6 \frac{2}{7}$
12. $8 \frac{1}{8}$
13. $2 \frac{1}{12}$
14. $3 \frac{1}{15}$
15. $11 \frac{1}{5}$
16. $4 \frac{4}{9}$
17. $6 \frac{1}{6}$
18. $6 \frac{1}{8}$

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Boxed Final Answer:

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