Sure! Let’s solve each problem on this
Fractions Worksheet step by step. All problems involve adding
mixed numbers with like denominators, which makes them straightforward.
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🔢 General Rule for Adding Mixed Numbers (Like Denominators):
1.
Add the whole numbers together.
2.
Add the fractions together (since denominators are the same, just add numerators).
3. If the fraction part is
improper (numerator ≥ denominator), convert it to a mixed number and
add the whole number part to the sum from step 1.
4. Simplify if needed (though in these problems, all fractions will simplify neatly).
---
##
✔ Problem 1a:
4 4/7 + 4 4/7
- Whole numbers: 4 + 4 =
8
- Fractions: 4/7 + 4/7 =
8/7 → This is improper →
1 1/7
- Add: 8 + 1 1/7 =
9 1/7
✔ Answer: 9 1/7
---
##
✔ Problem 1b:
8 7/11 + 10 8/11
- Whole numbers: 8 + 10 =
18
- Fractions: 7/11 + 8/11 =
15/11 → Improper →
1 4/11
- Add: 18 + 1 4/11 =
19 4/11
✔ Answer: 19 4/11
---
##
✔ Problem 2a:
2 3/6 + 1 3/6
- Whole numbers: 2 + 1 =
3
- Fractions: 3/6 + 3/6 =
6/6 = 1
- Add: 3 + 1 =
4
✔ Answer: 4
*(Note: 3/6 simplifies to 1/2, but since we’re adding, we can keep as 6/6 = 1)*
---
##
✔ Problem 2b:
4 1/7 + 2 2/7
- Whole numbers: 4 + 2 =
6
- Fractions: 1/7 + 2/7 =
3/7
- Total:
6 3/7
✔ Answer: 6 3/7
---
##
✔ Problem 3a:
1 1/5 + 6 1/5
- Whole numbers: 1 + 6 =
7
- Fractions: 1/5 + 1/5 =
2/5
- Total:
7 2/5
✔ Answer: 7 2/5
---
##
✔ Problem 3b:
8 2/5 + 11 3/5
- Whole numbers: 8 + 11 =
19
- Fractions: 2/5 + 3/5 =
5/5 = 1
- Add: 19 + 1 =
20
✔ Answer: 20
---
##
✔ Problem 4a:
4 3/4 + 7 1/4
- Whole numbers: 4 + 7 =
11
- Fractions: 3/4 + 1/4 =
4/4 = 1
- Add: 11 + 1 =
12
✔ Answer: 12
---
##
✔ Problem 4b:
2 3/11 + 4 3/11
- Whole numbers: 2 + 4 =
6
- Fractions: 3/11 + 3/11 =
6/11
- Total:
6 6/11
✔ Answer: 6 6/11
---
##
✔ Problem 5a:
3 7/12 + 4 6/12
- Whole numbers: 3 + 4 =
7
- Fractions: 7/12 + 6/12 =
13/12 → Improper →
1 1/12
- Add: 7 + 1 1/12 =
8 1/12
✔ Answer: 8 1/12
---
##
✔ Problem 5b:
8 1/6 + 6 3/6
- Whole numbers: 8 + 6 =
14
- Fractions: 1/6 + 3/6 =
4/6 → Simplify to
2/3
- Total:
14 2/3
✔ Answer: 14 2/3
*(Note: 4/6 reduces to 2/3 — always simplify final answers!)*
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## 📝 Final Answers Summary:
| Problem | Answer |
|---------|--------------|
| 1a |
9 1/7 |
| 1b |
19 4/11 |
| 2a |
4 |
| 2b |
6 3/7 |
| 3a |
7 2/5 |
| 3b |
20 |
| 4a |
12 |
| 4b |
6 6/11 |
| 5a |
8 1/12 |
| 5b |
14 2/3 |
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Let me know if you’d like a printable version or explanations for subtracting mixed numbers too! 😊
Parent Tip: Review the logic above to help your child master the concept of fractions worksheets with answers pdf.
