Printable worksheet for practicing multiplication of fractions and mixed numbers.

Here are the step-by-step solutions for each problem on the worksheet.

1. $6 \frac{2}{6} \times 8$
* First, simplify the fraction $\frac{2}{6}$ to $\frac{1}{3}$. So, we have $6 \frac{1}{3} \times 8$.
* Convert the mixed number to an improper fraction: $6 \times 3 + 1 = 19$, so it becomes $\frac{19}{3}$.
* Multiply by 8: $\frac{19}{3} \times \frac{8}{1} = \frac{152}{3}$.
* Convert back to a mixed number: $152 \div 3 = 50$ with a remainder of $2$.
* Answer: $50 \frac{2}{3}$

2. $1 \frac{8}{11} \times 5$
* Convert to improper fraction: $1 \times 11 + 8 = 19$, so $\frac{19}{11}$.
* Multiply by 5: $\frac{19}{11} \times 5 = \frac{95}{11}$.
* Convert back: $95 \div 11 = 8$ with a remainder of $7$.
* Answer: $8 \frac{7}{11}$

3. $5 \frac{5}{8} \times 1$
* Any number multiplied by 1 stays the same.
* Answer: $5 \frac{5}{8}$

4. $8 \frac{1}{2} \times 7$
* Convert to improper fraction: $8 \times 2 + 1 = 17$, so $\frac{17}{2}$.
* Multiply by 7: $\frac{17}{2} \times 7 = \frac{119}{2}$.
* Convert back: $119 \div 2 = 59$ with a remainder of $1$.
* Answer: $59 \frac{1}{2}$

5. $2 \frac{8}{12} \times 6$
* Simplify the fraction $\frac{8}{12}$ to $\frac{2}{3}$. So, $2 \frac{2}{3} \times 6$.
* Convert to improper fraction: $2 \times 3 + 2 = 8$, so $\frac{8}{3}$.
* Multiply by 6: $\frac{8}{3} \times 6 = \frac{48}{3}$.
* Divide: $48 \div 3 = 16$.
* Answer: $16$

6. $10 \frac{2}{3} \times 6$
* Convert to improper fraction: $10 \times 3 + 2 = 32$, so $\frac{32}{3}$.
* Multiply by 6: $\frac{32}{3} \times 6$. We can cancel the 3 and the 6 (6 becomes 2).
* $32 \times 2 = 64$.
* Answer: $64$

7. $1 \frac{5}{12} \times 7$
* Convert to improper fraction: $1 \times 12 + 5 = 17$, so $\frac{17}{12}$.
* Multiply by 7: $\frac{17}{12} \times 7 = \frac{119}{12}$.
* Convert back: $119 \div 12 = 9$ with a remainder of $11$ ($12 \times 9 = 108$).
* Answer: $9 \frac{11}{12}$

8. $9 \frac{4}{5} \times 5$
* Convert to improper fraction: $9 \times 5 + 4 = 49$, so $\frac{49}{5}$.
* Multiply by 5: $\frac{49}{5} \times 5$. The 5s cancel out.
* Answer: $49$

9. $2 \frac{8}{10} \times 10$
* Simplify $\frac{8}{10}$ to $\frac{4}{5}$. So, $2 \frac{4}{5} \times 10$.
* Convert to improper fraction: $2 \times 5 + 4 = 14$, so $\frac{14}{5}$.
* Multiply by 10: $\frac{14}{5} \times 10$. Cancel the 5 and 10 (10 becomes 2).
* $14 \times 2 = 28$.
* Answer: $28$

10. $9 \frac{1}{2} \times 12$
* Convert to improper fraction: $9 \times 2 + 1 = 19$, so $\frac{19}{2}$.
* Multiply by 12: $\frac{19}{2} \times 12$. Cancel the 2 and 12 (12 becomes 6).
* $19 \times 6 = 114$.
* Answer: $114$

11. $4 \frac{1}{2} \times 2$
* Convert to improper fraction: $4 \times 2 + 1 = 9$, so $\frac{9}{2}$.
* Multiply by 2: $\frac{9}{2} \times 2$. The 2s cancel out.
* Answer: $9$

12. $3 \frac{2}{5} \times 5$
* Convert to improper fraction: $3 \times 5 + 2 = 17$, so $\frac{17}{5}$.
* Multiply by 5: $\frac{17}{5} \times 5$. The 5s cancel out.
* Answer: $17$

13. $4 \frac{1}{9} \times 7$
* Convert to improper fraction: $4 \times 9 + 1 = 37$, so $\frac{37}{9}$.
* Multiply by 7: $\frac{37}{9} \times 7 = \frac{259}{9}$.
* Convert back: $259 \div 9 = 28$ with a remainder of $7$ ($9 \times 28 = 252$).
* Answer: $28 \frac{7}{9}$

14. $1 \frac{3}{11} \times 7$
* Convert to improper fraction: $1 \times 11 + 3 = 14$, so $\frac{14}{11}$.
* Multiply by 7: $\frac{14}{11} \times 7 = \frac{98}{11}$.
* Convert back: $98 \div 11 = 8$ with a remainder of $10$ ($11 \times 8 = 88$).
* Answer: $8 \frac{10}{11}$

15. $10 \frac{6}{7} \times 12$
* Convert to improper fraction: $10 \times 7 + 6 = 76$, so $\frac{76}{7}$.
* Multiply by 12: $\frac{76}{7} \times 12 = \frac{912}{7}$.
* Convert back: $912 \div 7 = 130$ with a remainder of $2$ ($7 \times 130 = 910$).
* Answer: $130 \frac{2}{7}$

16. $12 \times 6$
* Basic multiplication.
* Answer: $72$

17. $5 \times 2$
* Basic multiplication.
* Answer: $10$

18. $15 \times 4$
* Basic multiplication ($15 \times 2 = 30$, $30 \times 2 = 60$).
* Answer: $60$

──────────────────────────────────────

Final Answer:
1. $50 \frac{2}{3}$
2. $8 \frac{7}{11}$
3. $5 \frac{5}{8}$
4. $59 \frac{1}{2}$
5. $16$
6. $64$
7. $9 \frac{11}{12}$
8. $49$
9. $28$
10. $114$
11. $9$
12. $17$
13. $28 \frac{7}{9}$
14. $8 \frac{10}{11}$
15. $130 \frac{2}{7}$
16. $72$
17. $10$
18. $60$