Sure! Let’s solve each of these
adding mixed numbers problems step by step. The general strategy is:
1.
Add the whole numbers together.
2.
Add the fractions — if they have different denominators, find a common denominator first.
3.
Simplify the fraction part (if needed), and if it’s an improper fraction, convert it to a mixed number and add the whole number to the sum from step 1.
4.
Write the final answer as a mixed number.
---
Problem 1:
2¼ + 3⅓
- Whole numbers: 2 + 3 =
5
- Fractions: ¼ + ⅓ → LCD of 4 and 3 is
12
- ¼ = 3/12
- ⅓ = 4/12
- Sum: 3/12 + 4/12 =
7/12
- Final answer:
5 7/12
✔ Answer: 5 7/12
---
Problem 2:
5⅓ + 1⅖
- Whole numbers: 5 + 1 =
6
- Fractions: ⅓ + ⅖ → LCD of 3 and 5 is
15
- ⅓ = 5/15
- ⅖ = 6/15
- Sum: 5/15 + 6/15 =
11/15
- Final answer:
6 11/15
✔ Answer: 6 11/15
---
Problem 3:
4½ + 2⅕
- Whole numbers: 4 + 2 =
6
- Fractions: ½ + ⅕ → LCD of 2 and 5 is
10
- ½ = 5/10
- ⅕ = 2/10
- Sum: 5/10 + 2/10 =
7/10
- Final answer:
6 7/10
✔ Answer: 6 7/10
---
Problem 4:
6⅓ + 3⅙
- Whole numbers: 6 + 3 =
9
- Fractions: ⅓ + ⅙ → LCD of 3 and 6 is
6
- ⅓ = 2/6
- ⅙ = 1/6
- Sum: 2/6 + 1/6 =
3/6 = 1/2
- Final answer:
9 1/2
✔ Answer: 9 1/2
---
Problem 5:
2⅐ + 2¾
- Whole numbers: 2 + 2 =
4
- Fractions: ⅐ + ¾ → LCD of 7 and 4 is
28
- ⅐ = 4/28
- ¾ = 21/28
- Sum: 4/28 + 21/28 =
25/28
- Final answer:
4 25/28
✔ Answer: 4 25/28
---
Problem 6:
7⅐ + 4¼
- Whole numbers: 7 + 4 =
11
- Fractions: ⅐ + ¼ → LCD of 7 and 4 is
28
- ⅐ = 4/28
- ¼ = 7/28
- Sum: 4/28 + 7/28 =
11/28
- Final answer:
11 11/28
✔ Answer: 11 11/28
---
Problem 7:
3⁴⁄₅ + 6½
- Whole numbers: 3 + 6 =
9
- Fractions: ⁴⁄₅ + ½ → LCD of 5 and 2 is
10
- ⁴⁄₅ = 8/10
- ½ = 5/10
- Sum: 8/10 + 5/10 =
13/10 = 1 3/10
- Add the whole number: 9 + 1 =
10, keep 3/10
- Final answer:
10 3/10
✔ Answer: 10 3/10
---
Problem 8:
2³⁄₈ + 8²⁄₆
First, simplify ²⁄₆ → ¹⁄₃
So:
2³⁄₈ + 8¹⁄₃
- Whole numbers: 2 + 8 =
10
- Fractions: ³⁄₈ + ¹⁄₃ → LCD of 8 and 3 is
24
- ³⁄₈ = 9/24
- ¹⁄₃ = 8/24
- Sum: 9/24 + 8/24 =
17/24
- Final answer:
10 17/24
✔ Answer: 10 17/24
---
Problem 9:
6⅛ + 5⅓
- Whole numbers: 6 + 5 =
11
- Fractions: ⅛ + ⅓ → LCD of 8 and 3 is
24
- ⅛ = 3/24
- ⅓ = 8/24
- Sum: 3/24 + 8/24 =
11/24
- Final answer:
11 11/24
✔ Answer: 11 11/24
---
Problem 10:
3²⁄₅ + 4¹⁄₉
- Whole numbers: 3 + 4 =
7
- Fractions: ²⁄₅ + ¹⁄₉ → LCD of 5 and 9 is
45
- ²⁄₅ = 18/45
- ¹⁄₉ = 5/45
- Sum: 18/45 + 5/45 =
23/45
- Final answer:
7 23/45
✔ Answer: 7 23/45
---
##
✔ Final Answers Summary:
1.
5 7/12
2.
6 11/15
3.
6 7/10
4.
9 1/2
5.
4 25/28
6.
11 11/28
7.
10 3/10
8.
10 17/24
9.
11 11/24
10.
7 23/45
Let me know if you’d like to see any problem worked out visually or with diagrams!
Parent Tip: Review the logic above to help your child master the concept of worksheet adding mixed numbers.
