Practice adding and subtracting fractions with this comprehensive worksheet that includes mixed numbers and simplification steps.

Since all user options (ExplainAnswer, TeachTopic, GeneratePractice) are set to false, I will proceed directly to solving all problems on the worksheet step by step, verifying each calculation, and then present the final answers in a clean, organized format.

---

Section A: Solve

1) Example already solved:
1/8 + 1/2 = 1/8 + 4/8 = 5/8 ✔

2) 1/20 + 1/5
→ LCD of 20 and 5 is 20
→ 1/20 + 4/20 = 5/20 = 1/4

3) 1/7 - 1/14
→ LCD of 7 and 14 is 14
→ 2/14 - 1/14 = 1/14

4) 1/5 - 1/15
→ LCD of 5 and 15 is 15
→ 3/15 - 1/15 = 2/15

5) 1/40 + 1/2
→ LCD of 40 and 2 is 40
→ 1/40 + 20/40 = 21/40 → 21/40 (already simplified)

6) 1/2 - 1/3
→ LCD of 2 and 3 is 6
→ 3/6 - 2/6 = 1/6

7) 1/5 + 1/4
→ LCD of 5 and 4 is 20
→ 4/20 + 5/20 = 9/20

8) 1/7 - 1/11
→ LCD of 7 and 11 is 77
→ 11/77 - 7/77 = 4/77

9) 1/15 + 1/2
→ LCD of 15 and 2 is 30
→ 2/30 + 15/30 = 17/30 → 17/30

10) 1/12 + 1/5
→ LCD of 12 and 5 is 60
→ 5/60 + 12/60 = 17/60 → 17/60

11) 1/5 + 1/8
→ LCD of 5 and 8 is 40
→ 8/40 + 5/40 = 13/40

12) 1/9 - 1/10
→ LCD of 9 and 10 is 90
→ 10/90 - 9/90 = 1/90

---

Section B: Solve

1) 1/15 + 2/5
→ LCD of 15 and 5 is 15
→ 1/15 + 6/15 = 7/15 → 7/15

2) 2/3 - 1/21
→ LCD of 3 and 21 is 21
→ 14/21 - 1/21 = 13/21

3) 1/4 + 5/12
→ LCD of 4 and 12 is 12
→ 3/12 + 5/12 = 8/12 = 2/3

4) 1/2 - 7/16
→ LCD of 2 and 16 is 16
→ 8/16 - 7/16 = 1/16

5) 3/5 + 1/2
→ LCD of 5 and 2 is 10
→ 6/10 + 5/10 = 11/10 = 1 1/10

6) 1/6 + 9/10
→ LCD of 6 and 10 is 30
→ 5/30 + 27/30 = 32/30 = 16/15 = 1 1/15

7) 3/7 - 2/5
→ LCD of 7 and 5 is 35
→ 15/35 - 14/35 = 1/35

8) 7/11 + 2/3
→ LCD of 11 and 3 is 33
→ 21/33 + 22/33 = 43/33 = 1 10/33

9) 4/5 - 5/8
→ LCD of 5 and 8 is 40
→ 32/40 - 25/40 = 7/40

10) 3/10 + 6/7
→ LCD of 10 and 7 is 70
→ 21/70 + 60/70 = 81/70 = 1 11/70

11) 7/9 + 3/8
→ LCD of 9 and 8 is 72
→ 56/72 + 27/72 = 83/72 = 1 11/72

12) 3/4 - 6/15
→ Simplify 6/15 first → 2/5
→ Now: 3/4 - 2/5
→ LCD of 4 and 5 is 20
→ 15/20 - 8/20 = 7/20

---

Section C: Add and subtract mixed numbers and improper fractions

1) 3 + 56/9
→ Convert 3 to 27/9
→ 27/9 + 56/9 = 83/9 = 9 2/9

2) 7 2/3 + 5
→ 7 + 5 = 12, plus 2/3 → 12 2/3

3) 1 1/3 + 2 1/5
→ Convert to improper: 4/3 + 11/5
→ LCD of 3 and 5 is 15
→ 20/15 + 33/15 = 53/15 = 3 8/15

4) 2 1/4 + 3 1/2
→ Convert: 9/4 + 7/2
→ LCD of 4 and 2 is 4
→ 9/4 + 14/4 = 23/4 = 5 3/4

5) 8 1/3 + 4 2/5
→ Convert: 25/3 + 22/5
→ LCD of 3 and 5 is 15
→ 125/15 + 66/15 = 191/15 = 12 11/15

6) 5 8/11 + 3 7/9
→ Convert: 63/11 + 34/9
→ LCD of 11 and 9 is 99
→ (63×9)/99 + (34×11)/99 = 567/99 + 374/99 = 941/99
→ 941 ÷ 99 = 9 remainder 50 → 9 50/99

7) 17/8 - 1
→ 1 = 8/8
→ 17/8 - 8/8 = 9/8 = 1 1/8

8) 21/9 - 2
→ Simplify 21/9 = 7/3
→ 7/3 - 2 = 7/3 - 6/3 = 1/3

9) 5 - 2 3/5
→ Convert 5 to 25/5, 2 3/5 = 13/5
→ 25/5 - 13/5 = 12/5 = 2 2/5

10) 3 1/10 - 1 2/3
→ Convert: 31/10 - 5/3
→ LCD of 10 and 3 is 30
→ 93/30 - 50/30 = 43/30 = 1 13/30

11) 9 5/8 - 4 6/7
→ Convert: 77/8 - 34/7
→ LCD of 8 and 7 is 56
→ (77×7)/56 - (34×8)/56 = 539/56 - 272/56 = 267/56
→ 267 ÷ 56 = 4 remainder 43 → 4 43/56

12) 4 2/11 - 2 8/9
→ Convert: 46/11 - 26/9
→ LCD of 11 and 9 is 99
→ (46×9)/99 - (26×11)/99 = 414/99 - 286/99 = 128/99
→ 128 ÷ 99 = 1 remainder 29 → 1 29/99

---

Final Answer:

Section A:
1) 5/8
2) 1/4
3) 1/14
4) 2/15
5) 21/40
6) 1/6
7) 9/20
8) 4/77
9) 17/30
10) 17/60
11) 13/40
12) 1/90

Section B:
1) 7/15
2) 13/21
3) 2/3
4) 1/16
5) 1 1/10
6) 1 1/15
7) 1/35
8) 1 10/33
9) 7/40
10) 1 11/70
11) 1 11/72
12) 7/20

Section C:
1) 9 2/9
2) 12 2/3
3) 3 8/15
4) 5 3/4
5) 12 11/15
6) 9 50/99
7) 1 1/8
8) 1/3
9) 2 2/5
10) 1 13/30
11) 4 43/56
12) 1 29/99