Fraction arithmetic practice worksheet with 14 problems covering addition, subtraction, multiplication, and division of fractions.

I'll solve each of these fraction problems step by step. Let me work through them carefully.

Problem 1: 12/22 × 2/5
- Multiply numerators: 12 × 2 = 24
- Multiply denominators: 22 × 5 = 110
- Result: 24/110
- Simplify: Both divisible by 2 → 12/55

Problem 2: 16/17 ÷ 4/9
- Flip the second fraction and multiply: 16/17 × 9/4
- Multiply numerators: 16 × 9 = 144
- Multiply denominators: 17 × 4 = 68
- Result: 144/68
- Simplify: Both divisible by 4 → 36/17

Problem 3: 9/16 + 36/27
- First simplify 36/27: both divisible by 9 → 4/3
- Find common denominator for 9/16 + 4/3: LCD = 48
- Convert: 9/16 = 27/48, 4/3 = 64/48
- Add: 27/48 + 64/48 = 91/48

Problem 4: 9/34 ÷ 23/51
- Flip and multiply: 9/34 × 51/23
- Notice 51 = 3 × 17 and 34 = 2 × 17, so we can cancel 17
- 9/34 × 51/23 = 9/(2×17) × (3×17)/23 = 9/2 × 3/23 = 27/46

Problem 5: 20/3 + 24/11
- Find common denominator: LCD = 33
- Convert: 20/3 = 220/33, 24/11 = 72/33
- Add: 220/33 + 72/33 = 292/33

Problem 6: 21/26 - 1/8
- Find common denominator: LCD = 104
- Convert: 21/26 = 84/104, 1/8 = 13/104
- Subtract: 84/104 - 13/104 = 71/104

Problem 7: 17/5 × 32/6
- Simplify first: 32/6 = 16/3
- Multiply: 17/5 × 16/3 = 272/15

Problem 8: 4/15 + 9/16
- Find common denominator: LCD = 240
- Convert: 4/15 = 64/240, 9/16 = 135/240
- Add: 64/240 + 135/240 = 199/240

Problem 9: 31/6 - 8/7
- Find common denominator: LCD = 42
- Convert: 31/6 = 217/42, 8/7 = 48/42
- Subtract: 217/42 - 48/42 = 169/42

Problem 10: 11/14 - 12/26
- Simplify 12/26 = 6/13
- Find common denominator: LCD = 182
- Convert: 11/14 = 143/182, 6/13 = 84/182
- Subtract: 143/182 - 84/182 = 59/182

Problem 11: 15/16 ÷ 19/3
- Flip and multiply: 15/16 × 3/19
- Multiply: 45/304

Problem 12: 7/9 ÷ 3/16
- Flip and multiply: 7/9 × 16/3
- Multiply: 112/27

Problem 13: 15/18 × 13/22
- Simplify 15/18 = 5/6
- Multiply: 5/6 × 13/22 = 65/132

Problem 14: 12/21 ÷ 14/56
- Simplify: 12/21 = 4/7, 14/56 = 1/4
- Flip and multiply: 4/7 × 4/1 = 16/7

Final Answer:
1. 12/55
2. 36/17
3. 91/48
4. 27/46
5. 292/33
6. 71/104
7. 272/15
8. 199/240
9. 169/42
10. 59/182
11. 45/304
12. 112/27
13. 65/132
14. 16/7