Multiplying Whole Numbers and Mixed Numbers | Printable Skills Sheets - Free Printable

Explanation:
We are multiplying a whole number by a mixed number, then simplifying the result to lowest terms.

A mixed number like $2\frac{3}{5}$ means $2 + \frac{3}{5} = \frac{10}{5} + \frac{3}{5} = \frac{13}{5}$.
So the general method is:
1. Convert the mixed number to an improper fraction.
2. Multiply the whole number (as a fraction over 1) by that improper fraction.
3. Simplify the result — reduce the fraction if possible, and write as a mixed number if the numerator > denominator.

Let’s solve each problem carefully:

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1. $2 \times 2\frac{3}{5}$
$2\frac{3}{5} = \frac{13}{5}$
$2 \times \frac{13}{5} = \frac{26}{5} = 5\frac{1}{5}$

2. $7 \times 3\frac{5}{6}$
$3\frac{5}{6} = \frac{23}{6}$
$7 \times \frac{23}{6} = \frac{161}{6} = 26\frac{5}{6}$

3. $6 \times 4\frac{1}{2}$
$4\frac{1}{2} = \frac{9}{2}$
$6 \times \frac{9}{2} = \frac{54}{2} = 27$

4. $5 \times 3\frac{2}{3}$
$3\frac{2}{3} = \frac{11}{3}$
$5 \times \frac{11}{3} = \frac{55}{3} = 18\frac{1}{3}$

5. $7 \times 5\frac{2}{7}$
$5\frac{2}{7} = \frac{37}{7}$
$7 \times \frac{37}{7} = \frac{259}{7} = 37$ (since 7 cancels)

6. $2 \times 3\frac{3}{5}$
$3\frac{3}{5} = \frac{18}{5}$
$2 \times \frac{18}{5} = \frac{36}{5} = 7\frac{1}{5}$

7. $3 \times 3\frac{2}{5}$
$3\frac{2}{5} = \frac{17}{5}$
$3 \times \frac{17}{5} = \frac{51}{5} = 10\frac{1}{5}$

8. $4 \times 4\frac{1}{4}$
$4\frac{1}{4} = \frac{17}{4}$
$4 \times \frac{17}{4} = \frac{68}{4} = 17$

9. $3 \times 6\frac{2}{3}$
$6\frac{2}{3} = \frac{20}{3}$
$3 \times \frac{20}{3} = \frac{60}{3} = 20$

10. $4 \times 2\frac{1}{4}$
$2\frac{1}{4} = \frac{9}{4}$
$4 \times \frac{9}{4} = \frac{36}{4} = 9$

11. $3 \times 4\frac{3}{4}$
$4\frac{3}{4} = \frac{19}{4}$
$3 \times \frac{19}{4} = \frac{57}{4} = 14\frac{1}{4}$

12. $6 \times 3\frac{1}{7}$
$3\frac{1}{7} = \frac{22}{7}$
$6 \times \frac{22}{7} = \frac{132}{7} = 18\frac{6}{7}$

13. $15 \times 4\frac{2}{5}$
$4\frac{2}{5} = \frac{22}{5}$
$15 \times \frac{22}{5} = \frac{330}{5} = 66$

14. $17 \times 5\frac{1}{5}$
$5\frac{1}{5} = \frac{26}{5}$
$17 \times \frac{26}{5} = \frac{442}{5} = 88\frac{2}{5}$

15. $20 \times 6\frac{3}{5}$
$6\frac{3}{5} = \frac{33}{5}$
$20 \times \frac{33}{5} = \frac{660}{5} = 132$

16. $25 \times 8\frac{1}{5}$
$8\frac{1}{5} = \frac{41}{5}$
$25 \times \frac{41}{5} = \frac{1025}{5} = 205$

17. $12 \times 5\frac{2}{5}$
$5\frac{2}{5} = \frac{27}{5}$
$12 \times \frac{27}{5} = \frac{324}{5} = 64\frac{4}{5}$

18. $21 \times 2\frac{2}{7}$
$2\frac{2}{7} = \frac{16}{7}$
$21 \times \frac{16}{7} = \frac{336}{7} = 48$

Let me double-check a few tricky ones:

- #5: $7 \times 5\frac{2}{7} = 7 \times \frac{37}{7} = 37$ ✔
- #13: $15 \times \frac{22}{5} = 3 \times 22 = 66$ ✔
- #18: $21 ÷ 7 = 3$, so $3 × 16 = 48$ ✔
- #17: $12 × 27 = 324$, $324 ÷ 5 = 64.8 = 64\frac{4}{5}$ ✔

All correct.

Final Answer:
1. $5\frac{1}{5}$
2. $26\frac{5}{6}$
3. $27$
4. $18\frac{1}{3}$
5. $37$
6. $7\frac{1}{5}$
7. $10\frac{1}{5}$
8. $17$
9. $20$
10. $9$
11. $14\frac{1}{4}$
12. $18\frac{6}{7}$
13. $66$
14. $88\frac{2}{5}$
15. $132$
16. $205$
17. $64\frac{4}{5}$
18. $48$