Fraction arithmetic practice worksheet for adding, subtracting, multiplying, and dividing fractions.

The worksheet asks to add, subtract, multiply, or divide fractions, but all the problems shown are of the form:

> *a* ÷ *b* = ?

where *a* is a whole number (e.g., 11, 21, 31, etc.) and *b* is a fraction like ½, ⅓, ¼, etc.

So each problem is:
Whole number ÷ unit fraction (a fraction with numerator 1).

Recall:
Dividing by a fraction is the same as multiplying by its reciprocal.

So:
*n* ÷ (1/*d*) = *n* × *d* = *n* × *d*

Let’s solve each one carefully:

1. 11 ÷ ½ = 11 × 2 = 22
2. 21 ÷ ⅓ = 21 × 3 = 63
3. 31 ÷ ¼ = 31 × 4 = 124
4. 41 ÷ ⅕ = 41 × 5 = 205
5. 51 ÷ ⅙ = 51 × 6 = 306
6. 61 ÷ ⅐ = 61 × 7 = 427
7. 71 ÷ ⅛ = 71 × 8 = 568
8. 81 ÷ ⅑ = 81 × 9 = 729
9. 91 ÷ ¹⁄₁₀ = 91 × 10 = 910
10. 101 ÷ ¹⁄₁₁ = 101 × 11 = 1111
11. 111 ÷ ¹⁄₁₂ = 111 × 12 = 1332
12. 121 ÷ ¹⁄₁₃ = 121 × 13 = let's compute: 120×13 = 1560, plus 1×13 = 13 → 1573
13. 131 ÷ ¹⁄₁₄ = 131 × 14 = 130×14 = 1820, +1×14 = 14 → 1834
14. 141 ÷ ¹⁄₁₅ = 141 × 15 = 140×15 = 2100, +1×15 = 15 → 2115
15. 151 ÷ ¹⁄₁₆ = 151 × 16 = 150×16 = 2400, +1×16 = 16 → 2416
16. 161 ÷ ¹⁄₁₇ = 161 × 17 = 160×17 = 2720, +1×17 = 17 → 2737
17. 171 ÷ ¹⁄₁₈ = 171 × 18 = 170×18 = 3060, +1×18 = 18 → 3078
18. 181 ÷ ¹⁄₁₉ = 181 × 19 = 180×19 = 3420, +1×19 = 19 → 3439
19. 191 ÷ ¹⁄₂₀ = 191 × 20 = 3820
20. 201 ÷ ¹⁄₂₁ = 201 × 21 = 200×21 = 4200, +1×21 = 21 → 4221

Let me double-check a few to be safe:
- 121 ÷ 1/13 = 121 × 13:
121 × 10 = 1210
121 × 3 = 363
Total = 1210 + 363 = 1573 ✔
- 181 × 19:
181 × 20 = 3620, minus 181 = 3620 − 181 = 3439 ✔
- 201 × 21:
201 × 20 = 4020, +201 = 4221 ✔

All correct.

Final Answer:
22, 63, 124, 205, 306, 427, 568, 729, 910, 1111, 1332, 1573, 1834, 2115, 2416, 2737, 3078, 3439, 3820, 4221