You've uploaded a worksheet titled
“Fraction - Addition | Unlike fraction”, which contains 20 addition problems with fractions that have
different denominators (unlike fractions). To solve these, we need to:
1.
Find the Least Common Denominator (LCD) — the smallest number that both denominators divide into evenly.
2.
Convert each fraction to an equivalent fraction with the LCD as the denominator.
3.
Add the numerators, keeping the common denominator.
4.
Simplify the result if possible (reduce to lowest terms or convert to mixed number).
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Let’s solve all 20 problems step by step.
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✔ Problem 1:
5/6 + 4/5
- LCD of 6 and 5 = 30
- 5/6 = 25/30
- 4/5 = 24/30
- Sum = 25/30 + 24/30 =
49/30 →
1 19/30
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✔ Problem 2:
5/8 + 4/6
- Simplify 4/6 → 2/3
- LCD of 8 and 3 = 24
- 5/8 = 15/24
- 2/3 = 16/24
- Sum = 15/24 + 16/24 =
31/24 →
1 7/24
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✔ Problem 3:
5/6 + 4/9
- LCD of 6 and 9 = 18
- 5/6 = 15/18
- 4/9 = 8/18
- Sum = 15/18 + 8/18 =
23/18 →
1 5/18
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✔ Problem 4:
1/4 + 2/7
- LCD of 4 and 7 = 28
- 1/4 = 7/28
- 2/7 = 8/28
- Sum = 7/28 + 8/28 =
15/28
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✔ Problem 5:
7/7 + 4/6
- 7/7 = 1
- 4/6 = 2/3
- Sum = 1 + 2/3 =
1 2/3
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✔ Problem 6:
5/4 + 3/9
- 3/9 = 1/3
- LCD of 4 and 3 = 12
- 5/4 = 15/12
- 1/3 = 4/12
- Sum = 15/12 + 4/12 =
19/12 →
1 7/12
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✔ Problem 7:
9/4 + 9/8
- LCD of 4 and 8 = 8
- 9/4 = 18/8
- 9/8 = 9/8
- Sum = 18/8 + 9/8 =
27/8 →
3 3/8
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✔ Problem 8:
6/2 + 2/4
- 6/2 = 3
- 2/4 = 1/2
- Sum = 3 + 1/2 =
3 1/2
---
✔ Problem 9:
5/5 + 7/3
- 5/5 = 1
- 7/3 = 2 1/3
- Sum = 1 + 2 1/3 =
3 1/3
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✔ Problem 10:
1/4 + 1/3
- LCD of 4 and 3 = 12
- 1/4 = 3/12
- 1/3 = 4/12
- Sum = 3/12 + 4/12 =
7/12
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✔ Problem 11:
8/6 + 3/8
- Simplify 8/6 → 4/3
- LCD of 3 and 8 = 24
- 4/3 = 32/24
- 3/8 = 9/24
- Sum = 32/24 + 9/24 =
41/24 →
1 17/24
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✔ Problem 12:
5/7 + 5/5
- 5/5 = 1
- Sum = 5/7 + 1 =
1 5/7
---
✔ Problem 13:
15/11 + 4/4
- 4/4 = 1
- Sum = 15/11 + 1 = 15/11 + 11/11 =
26/11 →
2 4/11
---
✔ Problem 14:
5/6 + 1/9
- LCD of 6 and 9 = 18
- 5/6 = 15/18
- 1/9 = 2/18
- Sum = 15/18 + 2/18 =
17/18
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✔ Problem 15:
5/6 + 13/9
- LCD of 6 and 9 = 18
- 5/6 = 15/18
- 13/9 = 26/18
- Sum = 15/18 + 26/18 =
41/18 →
2 5/18
---
✔ Problem 16:
4/8 + 2/8
- Same denominator!
- 4/8 + 2/8 = 6/8 → Simplify →
3/4
---
✔ Problem 17:
11/12 + 11/4
- LCD of 12 and 4 = 12
- 11/4 = 33/12
- 11/12 = 11/12
- Sum = 11/12 + 33/12 =
44/12 → Simplify →
11/3 →
3 2/3
---
✔ Problem 18:
5/6 + 4/36
- Simplify 4/36 → 1/9
- LCD of 6 and 9 = 18
- 5/6 = 15/18
- 1/9 = 2/18
- Sum = 15/18 + 2/18 =
17/18
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✔ Problem 19:
3/5 + 6/15
- Simplify 6/15 → 2/5
- 3/5 + 2/5 =
5/5 = 1
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✔ Problem 20:
5/6 + 14/13
- LCD of 6 and 13 = 78
- 5/6 = 65/78
- 14/13 = 84/78
- Sum = 65/78 + 84/78 =
149/78 →
1 71/78
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## 🎯 Final Answer Key:
Here are all 20 answers in simplified form:
1.
1 19/30
2.
1 7/24
3.
1 5/18
4.
15/28
5.
1 2/3
6.
1 7/12
7.
3 3/8
8.
3 1/2
9.
3 1/3
10.
7/12
11.
1 17/24
12.
1 5/7
13.
2 4/11
14.
17/18
15.
2 5/18
16.
3/4
17.
3 2/3
18.
17/18
19.
1
20.
1 71/78
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✔ You can now fill these in on your worksheet!
Let me know if you want a printable version or step-by-step work shown for any specific problem!
Parent Tip: Review the logic above to help your child master the concept of fifth grade fraction worksheet.
