Improper Fractions worksheet for converting improper fractions to mixed numbers.

To convert an improper fraction to a mixed number, you divide the numerator (top number) by the denominator (bottom number).

1. Divide the top number by the bottom number to get the whole number part.
2. The remainder becomes the new numerator.
3. The denominator stays the same.

Here are the step-by-step solutions for each problem:

1. $\frac{44}{5}$
* Divide 44 by 5: $5 \times 8 = 40$.
* Remainder: $44 - 40 = 4$.
* Mixed Number: $8 \frac{4}{5}$

2. $\frac{22}{3}$
* Divide 22 by 3: $3 \times 7 = 21$.
* Remainder: $22 - 21 = 1$.
* Mixed Number: $7 \frac{1}{3}$

3. $\frac{46}{4}$
* Divide 46 by 4: $4 \times 11 = 44$.
* Remainder: $46 - 44 = 2$.
* Mixed Number: $11 \frac{2}{4}$
* *Simplify the fraction:* $\frac{2}{4}$ simplifies to $\frac{1}{2}$.
* Simplified Mixed Number: $11 \frac{1}{2}$

4. $\frac{34}{7}$
* Divide 34 by 7: $7 \times 4 = 28$.
* Remainder: $34 - 28 = 6$.
* Mixed Number: $4 \frac{6}{7}$

5. $\frac{53}{6}$
* Divide 53 by 6: $6 \times 8 = 48$.
* Remainder: $53 - 48 = 5$.
* Mixed Number: $8 \frac{5}{6}$

6. $\frac{82}{9}$
* Divide 82 by 9: $9 \times 9 = 81$.
* Remainder: $82 - 81 = 1$.
* Mixed Number: $9 \frac{1}{9}$

7. $\frac{51}{8}$
* Divide 51 by 8: $8 \times 6 = 48$.
* Remainder: $51 - 48 = 3$.
* Mixed Number: $6 \frac{3}{8}$

8. $\frac{47}{5}$
* Divide 47 by 5: $5 \times 9 = 45$.
* Remainder: $47 - 45 = 2$.
* Mixed Number: $9 \frac{2}{5}$

9. $\frac{65}{12}$
* Divide 65 by 12: $12 \times 5 = 60$.
* Remainder: $65 - 60 = 5$.
* Mixed Number: $5 \frac{5}{12}$

10. $\frac{90}{11}$
* Divide 90 by 11: $11 \times 8 = 88$.
* Remainder: $90 - 88 = 2$.
* Mixed Number: $8 \frac{2}{11}$

Final Answer:
1. $8 \frac{4}{5}$
2. $7 \frac{1}{3}$
3. $11 \frac{1}{2}$
4. $4 \frac{6}{7}$
5. $8 \frac{5}{6}$
6. $9 \frac{1}{9}$
7. $6 \frac{3}{8}$
8. $9 \frac{2}{5}$
9. $5 \frac{5}{12}$
10. $8 \frac{2}{11}$