Equivalent Fraction Patterns worksheet with answers, designed for math practice.
Equivalent Fraction Patterns worksheet with fill-in-the-missing-equivalent-fraction exercises and answer key, showing fractions and their equivalent forms.
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Step-by-step solution for: equivalent fractions Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: equivalent fractions Worksheets
Let’s go through each problem one by one. The goal is to find the missing equivalent fraction in each sequence. Equivalent fractions are fractions that represent the same value, even though they look different. We can find them by multiplying or dividing both the numerator and denominator by the same number.
We’ll solve each numbered problem step by step.
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1)
Sequence: 8/9 = 16/18 = 24/? = 32/36 = 40/45 = 48/54
Look at numerators: 8 → 16 → 24 → 32 → 40 → 48 (each +8)
Denominators: 9 → 18 → ? → 36 → 45 → 54 (each +9)
So after 18 comes 27.
Check: 24/27 simplifies? Divide top and bottom by 3 → 8/9 ✔️
✔ Missing denominator: 27
---
2)
Sequence: 1/6 = 2/? = 3/18 = 4/24 = 5/30 = 6/36
Numerators: 1 → 2 → 3 → 4 → 5 → 6 (+1 each)
Denominators: 6 → ? → 18 → 24 → 30 → 36 (+6 each)
After 6 comes 12.
Check: 2/12 = 1/6 ✔️
✔ Missing denominator: 12
---
3)
Sequence: 2/9 = 4/18 = 6/27 = 8/36 = 10/? = 12/54
Numerators: 2 → 4 → 6 → 8 → 10 → 12 (+2)
Denominators: 9 → 18 → 27 → 36 → ? → 54 (+9)
After 36 comes 45.
Check: 10/45 = 2/9 ✔️
✔ Missing denominator: 45
---
4)
Sequence: 4/6 = 8/12 = 12/18 = 16/24 = 20/? = 24/36
Numerators: 4 → 8 → 12 → 16 → 20 → 24 (+4)
Denominators: 6 → 12 → 18 → 24 → ? → 36 (+6)
After 24 comes 30.
Check: 20/30 = 2/3, and 4/6 = 2/3 ✔️
✔ Missing denominator: 30
---
5)
Sequence: 1/2 = 2/4 = 3/6 = 4/8 = 5/? = 6/12
Numerators: 1 → 2 → 3 → 4 → 5 → 6 (+1)
Denominators: 2 → 4 → 6 → 8 → ? → 12 (+2)
After 8 comes 10.
Check: 5/10 = 1/2 ✔️
✔ Missing denominator: 10
---
6)
Sequence: 3/6 = 6/12 = 9/? = 12/24 = 15/30 = 18/36
Numerators: 3 → 6 → 9 → 12 → 15 → 18 (+3)
Denominators: 6 → 12 → ? → 24 → 30 → 36 (+6)
After 12 comes 18.
Check: 9/18 = 1/2, and 3/6 = 1/2 ✔️
✔ Missing denominator: 18
---
7)
Sequence: 5/7 = 10/14 = 15/? = 20/28 = 25/35 = 30/42
Numerators: 5 → 10 → 15 → 20 → 25 → 30 (+5)
Denominators: 7 → 14 → ? → 28 → 35 → 42 (+7)
After 14 comes 21.
Check: 15/21 = 5/7 ✔️
✔ Missing denominator: 21
---
8)
Sequence: 3/4 = 6/8 = 9/12 = 12/16 = 15/? = 18/24
Numerators: 3 → 6 → 9 → 12 → 15 → 18 (+3)
Denominators: 4 → 8 → 12 → 16 → ? → 24 (+4)
After 16 comes 20.
Check: 15/20 = 3/4 ✔️
✔ Missing denominator: 20
---
9)
Sequence: 4/5 = 8/10 = 12/15 = 16/? = 20/25 = 24/30
Numerators: 4 → 8 → 12 → 16 → 20 → 24 (+4)
Denominators: 5 → 10 → 15 → ? → 25 → 30 (+5)
After 15 comes 20.
Check: 16/20 = 4/5 ✔️
✔ Missing denominator: 20
---
10)
Sequence: 2/3 = 4/6 = 6/9 = 8/? = 10/15 = 12/18
Numerators: 2 → 4 → 6 → 8 → 10 → 12 (+2)
Denominators: 3 → 6 → 9 → ? → 15 → 18 (+3)
After 9 comes 12.
Check: 8/12 = 2/3 ✔️
✔ Missing denominator: 12
---
11)
Sequence: 5/6 = 10/12 = 15/18 = 20/24 = 25/? = 30/36
Numerators: 5 → 10 → 15 → 20 → 25 → 30 (+5)
Denominators: 6 → 12 → 18 → 24 → ? → 36 (+6)
After 24 comes 30.
Check: 25/30 = 5/6 ✔️
✔ Missing denominator: 30
---
12)
Sequence: 8/10 = 16/20 = 24/30 = 32/40 = 40/? = 48/60
Numerators: 8 → 16 → 24 → 32 → 40 → 48 (+8)
Denominators: 10 → 20 → 30 → 40 → ? → 60 (+10)
After 40 comes 50.
Check: 40/50 = 4/5, and 8/10 = 4/5 ✔️
✔ Missing denominator: 50
---
13)
Sequence: 3/8 = 6/16 = 9/24 = 12/32 = 15/40 = 18/?
Numerators: 3 → 6 → 9 → 12 → 15 → 18 (+3)
Denominators: 8 → 16 → 24 → 32 → 40 → ? (+8)
After 40 comes 48.
Check: 18/48 = 3/8 ✔️
✔ Missing denominator: 48
---
14)
Sequence: 3/5 = 6/10 = 9/15 = 12/20 = 15/? = 18/30
Numerators: 3 → 6 → 9 → 12 → 15 → 18 (+3)
Denominators: 5 → 10 → 15 → 20 → ? → 30 (+5)
After 20 comes 25.
Check: 15/25 = 3/5 ✔️
✔ Missing denominator: 25
---
15)
Sequence: 9/10 = 18/20 = 27/30 = 36/40 = 45/? = 54/60
Numerators: 9 → 18 → 27 → 36 → 45 → 54 (+9)
Denominators: 10 → 20 → 30 → 40 → ? → 60 (+10)
After 40 comes 50.
Check: 45/50 = 9/10 ✔️
✔ Missing denominator: 50
---
16)
Sequence: 2/7 = 4/? = 6/21 = 8/28 = 10/35 = 12/42
Numerators: 2 → 4 → 6 → 8 → 10 → 12 (+2)
Denominators: 7 → ? → 21 → 28 → 35 → 42 (+7)
After 7 comes 14.
Check: 4/14 = 2/7 ✔️
✔ Missing denominator: 14
---
17)
Sequence: 5/8 = 10/16 = 15/24 = 20/32 = 25/? = 30/48
Numerators: 5 → 10 → 15 → 20 → 25 → 30 (+5)
Denominators: 8 → 16 → 24 → 32 → ? → 48 (+8)
After 32 comes 40.
Check: 25/40 = 5/8 ✔️
✔ Missing denominator: 40
---
18)
Sequence: 6/10 = 12/20 = 18/30 = 24/40 = 30/? = 36/60
Numerators: 6 → 12 → 18 → 24 → 30 → 36 (+6)
Denominators: 10 → 20 → 30 → 40 → ? → 60 (+10)
After 40 comes 50.
Check: 30/50 = 3/5, and 6/10 = 3/5 ✔️
✔ Missing denominator: 50
---
19)
Sequence: 2/4 = 4/8 = 6/12 = 8/16 = 10/20 = 12/?
Numerators: 2 → 4 → 6 → 8 → 10 → 12 (+2)
Denominators: 4 → 8 → 12 → 16 → 20 → ? (+4)
After 20 comes 24.
Check: 12/24 = 1/2, and 2/4 = 1/2 ✔️
✔ Missing denominator: 24
---
20)
Sequence: 2/10 = 4/? = 6/30 = 8/40 = 10/50 = 12/60
Numerators: 2 → 4 → 6 → 8 → 10 → 12 (+2)
Denominators: 10 → ? → 30 → 40 → 50 → 60 (+10)
After 10 comes 20.
Check: 4/20 = 1/5, and 2/10 = 1/5 ✔️
✔ Missing denominator: 20
---
Final Answer:
1. 27
2. 12
3. 45
4. 30
5. 10
6. 18
7. 21
8. 20
9. 20
10. 12
11. 30
12. 50
13. 48
14. 25
15. 50
16. 14
17. 40
18. 50
19. 24
20. 20
We’ll solve each numbered problem step by step.
---
1)
Sequence: 8/9 = 16/18 = 24/? = 32/36 = 40/45 = 48/54
Look at numerators: 8 → 16 → 24 → 32 → 40 → 48 (each +8)
Denominators: 9 → 18 → ? → 36 → 45 → 54 (each +9)
So after 18 comes 27.
Check: 24/27 simplifies? Divide top and bottom by 3 → 8/9 ✔️
✔ Missing denominator: 27
---
2)
Sequence: 1/6 = 2/? = 3/18 = 4/24 = 5/30 = 6/36
Numerators: 1 → 2 → 3 → 4 → 5 → 6 (+1 each)
Denominators: 6 → ? → 18 → 24 → 30 → 36 (+6 each)
After 6 comes 12.
Check: 2/12 = 1/6 ✔️
✔ Missing denominator: 12
---
3)
Sequence: 2/9 = 4/18 = 6/27 = 8/36 = 10/? = 12/54
Numerators: 2 → 4 → 6 → 8 → 10 → 12 (+2)
Denominators: 9 → 18 → 27 → 36 → ? → 54 (+9)
After 36 comes 45.
Check: 10/45 = 2/9 ✔️
✔ Missing denominator: 45
---
4)
Sequence: 4/6 = 8/12 = 12/18 = 16/24 = 20/? = 24/36
Numerators: 4 → 8 → 12 → 16 → 20 → 24 (+4)
Denominators: 6 → 12 → 18 → 24 → ? → 36 (+6)
After 24 comes 30.
Check: 20/30 = 2/3, and 4/6 = 2/3 ✔️
✔ Missing denominator: 30
---
5)
Sequence: 1/2 = 2/4 = 3/6 = 4/8 = 5/? = 6/12
Numerators: 1 → 2 → 3 → 4 → 5 → 6 (+1)
Denominators: 2 → 4 → 6 → 8 → ? → 12 (+2)
After 8 comes 10.
Check: 5/10 = 1/2 ✔️
✔ Missing denominator: 10
---
6)
Sequence: 3/6 = 6/12 = 9/? = 12/24 = 15/30 = 18/36
Numerators: 3 → 6 → 9 → 12 → 15 → 18 (+3)
Denominators: 6 → 12 → ? → 24 → 30 → 36 (+6)
After 12 comes 18.
Check: 9/18 = 1/2, and 3/6 = 1/2 ✔️
✔ Missing denominator: 18
---
7)
Sequence: 5/7 = 10/14 = 15/? = 20/28 = 25/35 = 30/42
Numerators: 5 → 10 → 15 → 20 → 25 → 30 (+5)
Denominators: 7 → 14 → ? → 28 → 35 → 42 (+7)
After 14 comes 21.
Check: 15/21 = 5/7 ✔️
✔ Missing denominator: 21
---
8)
Sequence: 3/4 = 6/8 = 9/12 = 12/16 = 15/? = 18/24
Numerators: 3 → 6 → 9 → 12 → 15 → 18 (+3)
Denominators: 4 → 8 → 12 → 16 → ? → 24 (+4)
After 16 comes 20.
Check: 15/20 = 3/4 ✔️
✔ Missing denominator: 20
---
9)
Sequence: 4/5 = 8/10 = 12/15 = 16/? = 20/25 = 24/30
Numerators: 4 → 8 → 12 → 16 → 20 → 24 (+4)
Denominators: 5 → 10 → 15 → ? → 25 → 30 (+5)
After 15 comes 20.
Check: 16/20 = 4/5 ✔️
✔ Missing denominator: 20
---
10)
Sequence: 2/3 = 4/6 = 6/9 = 8/? = 10/15 = 12/18
Numerators: 2 → 4 → 6 → 8 → 10 → 12 (+2)
Denominators: 3 → 6 → 9 → ? → 15 → 18 (+3)
After 9 comes 12.
Check: 8/12 = 2/3 ✔️
✔ Missing denominator: 12
---
11)
Sequence: 5/6 = 10/12 = 15/18 = 20/24 = 25/? = 30/36
Numerators: 5 → 10 → 15 → 20 → 25 → 30 (+5)
Denominators: 6 → 12 → 18 → 24 → ? → 36 (+6)
After 24 comes 30.
Check: 25/30 = 5/6 ✔️
✔ Missing denominator: 30
---
12)
Sequence: 8/10 = 16/20 = 24/30 = 32/40 = 40/? = 48/60
Numerators: 8 → 16 → 24 → 32 → 40 → 48 (+8)
Denominators: 10 → 20 → 30 → 40 → ? → 60 (+10)
After 40 comes 50.
Check: 40/50 = 4/5, and 8/10 = 4/5 ✔️
✔ Missing denominator: 50
---
13)
Sequence: 3/8 = 6/16 = 9/24 = 12/32 = 15/40 = 18/?
Numerators: 3 → 6 → 9 → 12 → 15 → 18 (+3)
Denominators: 8 → 16 → 24 → 32 → 40 → ? (+8)
After 40 comes 48.
Check: 18/48 = 3/8 ✔️
✔ Missing denominator: 48
---
14)
Sequence: 3/5 = 6/10 = 9/15 = 12/20 = 15/? = 18/30
Numerators: 3 → 6 → 9 → 12 → 15 → 18 (+3)
Denominators: 5 → 10 → 15 → 20 → ? → 30 (+5)
After 20 comes 25.
Check: 15/25 = 3/5 ✔️
✔ Missing denominator: 25
---
15)
Sequence: 9/10 = 18/20 = 27/30 = 36/40 = 45/? = 54/60
Numerators: 9 → 18 → 27 → 36 → 45 → 54 (+9)
Denominators: 10 → 20 → 30 → 40 → ? → 60 (+10)
After 40 comes 50.
Check: 45/50 = 9/10 ✔️
✔ Missing denominator: 50
---
16)
Sequence: 2/7 = 4/? = 6/21 = 8/28 = 10/35 = 12/42
Numerators: 2 → 4 → 6 → 8 → 10 → 12 (+2)
Denominators: 7 → ? → 21 → 28 → 35 → 42 (+7)
After 7 comes 14.
Check: 4/14 = 2/7 ✔️
✔ Missing denominator: 14
---
17)
Sequence: 5/8 = 10/16 = 15/24 = 20/32 = 25/? = 30/48
Numerators: 5 → 10 → 15 → 20 → 25 → 30 (+5)
Denominators: 8 → 16 → 24 → 32 → ? → 48 (+8)
After 32 comes 40.
Check: 25/40 = 5/8 ✔️
✔ Missing denominator: 40
---
18)
Sequence: 6/10 = 12/20 = 18/30 = 24/40 = 30/? = 36/60
Numerators: 6 → 12 → 18 → 24 → 30 → 36 (+6)
Denominators: 10 → 20 → 30 → 40 → ? → 60 (+10)
After 40 comes 50.
Check: 30/50 = 3/5, and 6/10 = 3/5 ✔️
✔ Missing denominator: 50
---
19)
Sequence: 2/4 = 4/8 = 6/12 = 8/16 = 10/20 = 12/?
Numerators: 2 → 4 → 6 → 8 → 10 → 12 (+2)
Denominators: 4 → 8 → 12 → 16 → 20 → ? (+4)
After 20 comes 24.
Check: 12/24 = 1/2, and 2/4 = 1/2 ✔️
✔ Missing denominator: 24
---
20)
Sequence: 2/10 = 4/? = 6/30 = 8/40 = 10/50 = 12/60
Numerators: 2 → 4 → 6 → 8 → 10 → 12 (+2)
Denominators: 10 → ? → 30 → 40 → 50 → 60 (+10)
After 10 comes 20.
Check: 4/20 = 1/5, and 2/10 = 1/5 ✔️
✔ Missing denominator: 20
---
Final Answer:
1. 27
2. 12
3. 45
4. 30
5. 10
6. 18
7. 21
8. 20
9. 20
10. 12
11. 30
12. 50
13. 48
14. 25
15. 50
16. 14
17. 40
18. 50
19. 24
20. 20
Parent Tip: Review the logic above to help your child master the concept of equivalent fractions worksheet pdf.
