Sure! Let’s solve each of these
adding mixed numbers problems step by step. The general method is:
1.
Add the whole numbers together.
2.
Add the fractions together. To do this, find a common denominator.
3.
If the fraction sum is improper (≥ 1), convert it to a mixed number and add the whole part to the total.
4.
Simplify the final fraction if needed.
---
Problem 1:
2¼ + 3⅓
- Whole numbers: 2 + 3 =
5
- Fractions: ¼ + ⅓ → LCD = 12 → ³⁄₁₂ + ⁴⁄₁₂ =
⁷⁄₁₂
- Final answer:
5⁷⁄₁₂
✔ Answer: 5⁷⁄₁₂
---
Problem 2:
5⅓ + 1⅖
- Whole numbers: 5 + 1 =
6
- Fractions: ⅓ + ⅖ → LCD = 15 → ⁵⁄₁₅ + ⁶⁄₁₅ =
¹¹⁄₁₅
- Final answer:
6¹¹⁄₁₅
✔ Answer: 6¹¹⁄₁₅
---
Problem 3:
4½ + 2⅕
- Whole numbers: 4 + 2 =
6
- Fractions: ½ + ⅕ → LCD = 10 → ⁵⁄₁₀ + ²⁄₁₀ =
⁷⁄₁₀
- Final answer:
6⁷⁄₁₀
✔ Answer: 6⁷⁄₁₀
---
Problem 4:
6⅓ + 3⅙
- Whole numbers: 6 + 3 =
9
- Fractions: ⅓ + ⅙ → LCD = 6 → ²⁄₆ + ¹⁄₆ =
³⁄₆ = ½
- Final answer:
9½
✔ Answer: 9½
---
Problem 5:
2¹⁄₇ + 2¾
- Whole numbers: 2 + 2 =
4
- Fractions: ¹⁄₇ + ¾ → LCD = 28 → ⁴⁄₂₈ + ²¹⁄₂₈ =
²⁵⁄₂₈
- Final answer:
4²⁵⁄₂₈
✔ Answer: 4²⁵⁄₂₈
---
Problem 6:
7¹⁄₇ + 4¼
- Whole numbers: 7 + 4 =
11
- Fractions: ¹⁄₇ + ¼ → LCD = 28 → ⁴⁄₂₈ + ⁷⁄₂₈ =
¹¹⁄₂₈
- Final answer:
11¹¹⁄₂₈
✔ Answer: 11¹¹⁄₂₈
---
Problem 7:
3⁴⁄₅ + 6½
- Whole numbers: 3 + 6 =
9
- Fractions: ⁴⁄₅ + ½ → LCD = 10 → ⁸⁄₁₀ + ⁵⁄₁₀ =
¹³⁄₁₀ = 1³⁄₁₀
- Add whole part: 9 + 1 =
10, remainder
³⁄₁₀
- Final answer:
10³⁄₁₀
✔ Answer: 10³⁄₁₀
---
Problem 8:
2³⁄₈ + 8²⁄₆
First, simplify ²⁄₆ →
⅓
- Whole numbers: 2 + 8 =
10
- Fractions: ³⁄₈ + ⅓ → LCD = 24 → ⁹⁄₂₄ + ⁸⁄₂₄ =
¹⁷⁄₂₄
- Final answer:
10¹⁷⁄₂₄
✔ Answer: 10¹⁷⁄₂₄
---
Problem 9:
6¹⁄₈ + 5⅓
- Whole numbers: 6 + 5 =
11
- Fractions: ¹⁄₈ + ⅓ → LCD = 24 → ³⁄₂₄ + ⁸⁄₂₄ =
¹¹⁄₂₄
- Final answer:
11¹¹⁄₂₄
✔ Answer: 11¹¹⁄₂₄
---
Problem 10:
3²⁄₅ + 4¹⁄₉
- Whole numbers: 3 + 4 =
7
- Fractions: ²⁄₅ + ¹⁄₉ → LCD = 45 → ¹⁸⁄₄₅ + ⁵⁄₄₅ =
²³⁄₄₅
- Final answer:
7²³⁄₄₅
✔ Answer: 7²³⁄₄₅
---
##
✔ Final Answers Summary:
1.
5⁷⁄₁₂
2.
6¹¹⁄₁₅
3.
6⁷⁄₁₀
4.
9½
5.
4²⁵⁄₂₈
6.
11¹¹⁄₂₈
7.
10³⁄₁₀
8.
10¹⁷⁄₂₄
9.
11¹¹⁄₂₄
10.
7²³⁄₄₅
Let me know if you’d like to see any step broken down further!
Parent Tip: Review the logic above to help your child master the concept of adding mixed numbers with different denominators worksheet.
