Worksheet for simplifying proper fractions to lowest terms.

Let’s simplify each fraction step by step. To simplify a fraction, we divide both the top (numerator) and bottom (denominator) by their greatest common factor (GCF). We keep doing this until no number other than 1 can divide both.

We’ll go row by row:

---

Row 1:

1. 7/14 → GCF of 7 and 14 is 7 → 7÷7=1, 14÷7=2 → 1/2
2. 24/33 → GCF of 24 and 33 is 3 → 24÷3=8, 33÷3=11 → 8/11
3. 9/27 → GCF is 9 → 9÷9=1, 27÷9=3 → 1/3
4. 8/56 → GCF is 8 → 8÷8=1, 56÷8=7 → 1/7

---

Row 2:

5. 4/20 → GCF is 4 → 4÷4=1, 20÷4=5 → 1/5
6. 24/40 → GCF is 8 → 24÷8=3, 40÷8=5 → 3/5
7. 7/56 → GCF is 7 → 7÷7=1, 56÷7=8 → 1/8
8. 27/99 → GCF is 9 → 27÷9=3, 99÷9=11 → 3/11

---

Row 3:

9. 14/21 → GCF is 7 → 14÷7=2, 21÷7=3 → 2/3
10. 40/110 → GCF is 10 → 40÷10=4, 110÷10=11 → 4/11
11. 45/54 → GCF is 9 → 45÷9=5, 54÷9=6 → 5/6
12. 4/12 → GCF is 4 → 4÷4=1, 12÷4=3 → 1/3

---

Row 4:

13. 12/21 → GCF is 3 → 12÷3=4, 21÷3=7 → 4/7
14. 36/40 → GCF is 4 → 36÷4=9, 40÷4=10 → 9/10
15. 30/55 → GCF is 5 → 30÷5=6, 55÷5=11 → 6/11
16. 3/6 → GCF is 3 → 3÷3=1, 6÷3=2 → 1/2

---

Row 5:

17. 12/18 → GCF is 6 → 12÷6=2, 18÷6=3 → 2/3
18. 2/18 → GCF is 2 → 2÷2=1, 18÷2=9 → 1/9
19. 20/35 → GCF is 5 → 20÷5=4, 35÷5=7 → 4/7
20. 9/54 → GCF is 9 → 9÷9=1, 54÷9=6 → 1/6

---

Row 6:

21. 5/50 → GCF is 5 → 5÷5=1, 50÷5=10 → 1/10
22. 10/120 → GCF is 10 → 10÷10=1, 120÷10=12 → 1/12
23. 30/36 → GCF is 6 → 30÷6=5, 36÷6=6 → 5/6
24. 9/18 → GCF is 9 → 9÷9=1, 18÷9=2 → 1/2

---

Row 7:

25. 30/72 → GCF is 6 → 30÷6=5, 72÷6=12 → 5/12
26. 8/96 → GCF is 8 → 8÷8=1, 96÷8=12 → 1/12
27. 10/24 → GCF is 2 → 10÷2=5, 24÷2=12 → 5/12
28. 3/24 → GCF is 3 → 3÷3=1, 24÷3=8 → 1/8

---

Row 8:

29. 4/40 → GCF is 4 → 4÷4=1, 40÷4=10 → 1/10
30. 50/60 → GCF is 10 → 50÷10=5, 60÷10=6 → 5/6
31. 10/20 → GCF is 10 → 10÷10=1, 20÷10=2 → 1/2
32. 6/16 → GCF is 2 → 6÷2=3, 16÷2=8 → 3/8

---

Row 9:

33. 12/30 → GCF is 6 → 12÷6=2, 30÷6=5 → 2/5
34. 10/45 → GCF is 5 → 10÷5=2, 45÷5=9 → 2/9
35. 35/56 → GCF is 7 → 35÷7=5, 56÷7=8 → 5/8
36. 24/42 → GCF is 6 → 24÷6=4, 42÷6=7 → 4/7

---

Row 10:

37. 30/55 → GCF is 5 → 30÷5=6, 55÷5=11 → 6/11
38. 8/64 → GCF is 8 → 8÷8=1, 64÷8=8 → 1/8
39. 4/8 → GCF is 4 → 4÷4=1, 8÷4=2 → 1/2
40. 15/21 → GCF is 3 → 15÷3=5, 21÷3=7 → 5/7

---

Final Answer:
1. 1/2
2. 8/11
3. 1/3
4. 1/7
5. 1/5
6. 3/5
7. 1/8
8. 3/11
9. 2/3
10. 4/11
11. 5/6
12. 1/3
13. 4/7
14. 9/10
15. 6/11
16. 1/2
17. 2/3
18. 1/9
19. 4/7
20. 1/6
21. 1/10
22. 1/12
23. 5/6
24. 1/2
25. 5/12
26. 1/12
27. 5/12
28. 1/8
29. 1/10
30. 5/6
31. 1/2
32. 3/8
33. 2/5
34. 2/9
35. 5/8
36. 4/7
37. 6/11
38. 1/8
39. 1/2
40. 5/7