Math worksheet for practicing multiplication of mixed numbers and whole numbers.

Let's solve each problem step by step. The task is to multiply mixed numbers and whole numbers.

We'll follow these steps for each problem:

1. Convert the mixed number into an improper fraction.
2. Multiply the improper fraction by the whole number.
3. Simplify the result and convert back to a mixed number if needed.

---

1) $ 6\frac{2}{3} \times 9 $

Convert $ 6\frac{2}{3} $ to improper fraction:
$$
6\frac{2}{3} = \frac{6 \times 3 + 2}{3} = \frac{18 + 2}{3} = \frac{20}{3}
$$

Now multiply:
$$
\frac{20}{3} \times 9 = \frac{20 \times 9}{3} = \frac{180}{3} = 60
$$

✔ Answer: 60

---

2) $ 7 \times 1\frac{2}{9} $

Convert $ 1\frac{2}{9} $:
$$
1\frac{2}{9} = \frac{9 \times 1 + 2}{9} = \frac{11}{9}
$$

Multiply:
$$
7 \times \frac{11}{9} = \frac{77}{9}
$$

Convert to mixed number:
$$
\frac{77}{9} = 8\frac{5}{9} \quad (\text{since } 9 \times 8 = 72, \; 77 - 72 = 5)
$$

✔ Answer: $ 8\frac{5}{9} $

---

3) $ 11 \times 2\frac{2}{7} $

Convert $ 2\frac{2}{7} $:
$$
2\frac{2}{7} = \frac{2 \times 7 + 2}{7} = \frac{14 + 2}{7} = \frac{16}{7}
$$

Multiply:
$$
11 \times \frac{16}{7} = \frac{176}{7}
$$

Convert:
$$
\frac{176}{7} = 25\frac{1}{7} \quad (7 \times 25 = 175, \; 176 - 175 = 1)
$$

✔ Answer: $ 25\frac{1}{7} $

---

4) $ 2\frac{1}{4} \times 8 $

Convert $ 2\frac{1}{4} $:
$$
2\frac{1}{4} = \frac{2 \times 4 + 1}{4} = \frac{9}{4}
$$

Multiply:
$$
\frac{9}{4} \times 8 = \frac{72}{4} = 18
$$

✔ Answer: 18

---

5) $ 10\frac{9}{10} \times 10 $

Convert $ 10\frac{9}{10} $:
$$
10\frac{9}{10} = \frac{10 \times 10 + 9}{10} = \frac{109}{10}
$$

Multiply:
$$
\frac{109}{10} \times 10 = \frac{1090}{10} = 109
$$

✔ Answer: 109

---

6) $ 6 \times 1\frac{7}{12} $

Convert $ 1\frac{7}{12} $:
$$
1\frac{7}{12} = \frac{12 \times 1 + 7}{12} = \frac{19}{12}
$$

Multiply:
$$
6 \times \frac{19}{12} = \frac{114}{12} = \frac{19}{2} \quad (\text{divide numerator and denominator by 6})
$$

Convert:
$$
\frac{19}{2} = 9\frac{1}{2}
$$

✔ Answer: $ 9\frac{1}{2} $

---

7) $ 2 \times 3\frac{2}{9} $

Convert $ 3\frac{2}{9} $:
$$
3\frac{2}{9} = \frac{3 \times 9 + 2}{9} = \frac{27 + 2}{9} = \frac{29}{9}
$$

Multiply:
$$
2 \times \frac{29}{9} = \frac{58}{9}
$$

Convert:
$$
\frac{58}{9} = 6\frac{4}{9} \quad (9 \times 6 = 54, \; 58 - 54 = 4)
$$

✔ Answer: $ 6\frac{4}{9} $

---

8) $ 2\frac{3}{5} \times 15 $

Convert $ 2\frac{3}{5} $:
$$
2\frac{3}{5} = \frac{2 \times 5 + 3}{5} = \frac{13}{5}
$$

Multiply:
$$
\frac{13}{5} \times 15 = \frac{195}{5} = 39
$$

✔ Answer: 39

---

9) $ 2\frac{5}{6} \times 12 $

Convert $ 2\frac{5}{6} $:
$$
2\frac{5}{6} = \frac{2 \times 6 + 5}{6} = \frac{17}{6}
$$

Multiply:
$$
\frac{17}{6} \times 12 = \frac{204}{6} = 34
$$

✔ Answer: 34

---

10) $ 4 \times 7\frac{1}{2} $

Convert $ 7\frac{1}{2} $:
$$
7\frac{1}{2} = \frac{7 \times 2 + 1}{2} = \frac{15}{2}
$$

Multiply:
$$
4 \times \frac{15}{2} = \frac{60}{2} = 30
$$

✔ Answer: 30

---

11) $ 5 \times 3\frac{7}{8} $

Convert $ 3\frac{7}{8} $:
$$
3\frac{7}{8} = \frac{3 \times 8 + 7}{8} = \frac{24 + 7}{8} = \frac{31}{8}
$$

Multiply:
$$
5 \times \frac{31}{8} = \frac{155}{8}
$$

Convert:
$$
\frac{155}{8} = 19\frac{3}{8} \quad (8 \times 19 = 152, \; 155 - 152 = 3)
$$

✔ Answer: $ 19\frac{3}{8} $

---

12) $ 1\frac{10}{11} \times 2 $

Convert $ 1\frac{10}{11} $:
$$
1\frac{10}{11} = \frac{1 \times 11 + 10}{11} = \frac{21}{11}
$$

Multiply:
$$
\frac{21}{11} \times 2 = \frac{42}{11}
$$

Convert:
$$
\frac{42}{11} = 3\frac{9}{11} \quad (11 \times 3 = 33, \; 42 - 33 = 9)
$$

✔ Answer: $ 3\frac{9}{11} $

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✔ Final Answers:

1) 60
2) $ 8\frac{5}{9} $
3) $ 25\frac{1}{7} $
4) 18
5) 109
6) $ 9\frac{1}{2} $
7) $ 6\frac{4}{9} $
8) 39
9) 34
10) 30
11) $ 19\frac{3}{8} $
12) $ 3\frac{9}{11} $

Let me know if you'd like a printable version or explanation in another format!