Math worksheet with fraction addition problems involving mixed numbers and blank boxes for solutions.
A math worksheet featuring addition problems with mixed numbers and fractions, including spaces for answers and star outlines for decoration.
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Step-by-step solution for: Adding Mixed Fractions Math Worksheet - Twisty Noodle
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Show Answer Key & Explanations
Step-by-step solution for: Adding Mixed Fractions Math Worksheet - Twisty Noodle
Let’s solve each problem step by step. We’re adding mixed numbers and fractions with the same denominators — that makes it easier!
---
Problem 1:
> 1/4 + 2/4 = ?
Same denominator (4), so just add numerators:
1 + 2 = 3 → 3/4
✔ Final for #1: 3/4
---
Problem 2:
> 1/3 + 1 1/3 = ?
First, write 1 1/3 as an improper fraction or keep as mixed number.
We can think:
1/3 + 1 + 1/3 = 1 + (1/3 + 1/3) = 1 + 2/3 = 1 2/3
✔ Final for #2: 1 2/3
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Problem 5 (third one listed):
> 5 1/4 + 2 1/4 = ?
Add whole numbers: 5 + 2 = 7
Add fractions: 1/4 + 1/4 = 2/4 = 1/2
So total: 7 1/2
Wait — let me double-check:
5 1/4 + 2 1/4 = (5+2) + (1/4 + 1/4) = 7 + 2/4 = 7 + 1/2 = 7 1/2
✔ Final for #5: 7 1/2
*(Note: The problems are not in order — this is labeled “5” but is third on the list. We’ll follow the numbering as written.)*
---
Problem 3 (fourth one listed):
> 3 2/4 + 1 1/4 = ?
First, simplify 2/4 to 1/2? But maybe better to keep denominator 4 for now.
Add wholes: 3 + 1 = 4
Add fractions: 2/4 + 1/4 = 3/4
Total: 4 3/4
But wait — 2/4 can be simplified later if needed, but since answer doesn’t require simplifying unless specified, we can leave as 4 3/4.
Actually, 3/4 is already simplified.
✔ Final for #3: 4 3/4
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Fifth problem (no number label, fifth row):
> 1/3 + 3 2/3 = ?
Think: 1/3 + 3 + 2/3 = 3 + (1/3 + 2/3) = 3 + 3/3 = 3 + 1 = 4
✔ Final for unlabeled fifth: 4
---
Sixth problem (labeled “5” again? Wait — looking back at image layout):
Actually, let’s re-list them clearly based on your image structure:
You have:
1. 1/4 + 2/4 = ___
2. 1/3 + 1 1/3 = ___
5. 5 1/4 + 2 1/4 = ___ ← This is labeled "5"
3. 3 2/4 + 1 1/4 = ___ ← labeled "3"
Then unnumbered:
- 1/3 + 3 2/3 = ___
- 5 1/5 + 4 2/5 = ___
- 3 3/5 + 2 2/5 = ___
So actually, there are 7 problems, but some labels repeat or skip. Let’s solve all 7 in order they appear:
---
Problem A (first row):
1/4 + 2/4 = 3/4 → ✔ 3/4
Problem B (second row):
1/3 + 1 1/3 = 1 + (1/3 + 1/3) = 1 + 2/3 = 1 2/3
Problem C (third row, labeled “5”):
5 1/4 + 2 1/4 = 7 + 2/4 = 7 + 1/2 = 7 1/2
Problem D (fourth row, labeled “3”):
3 2/4 + 1 1/4 = 4 + 3/4 = 4 3/4
Problem E (fifth row, no label):
1/3 + 3 2/3 = 3 + (1/3 + 2/3) = 3 + 1 = 4
Problem F (sixth row, labeled “5” again?):
5 1/5 + 4 2/5 = (5+4) + (1/5 + 2/5) = 9 + 3/5 = 9 3/5
Problem G (seventh row, labeled “3” again?):
3 3/5 + 2 2/5 = (3+2) + (3/5 + 2/5) = 5 + 5/5 = 5 + 1 = 6
---
Now, let’s verify each calculation once more:
1. 1/4 + 2/4 = 3/4 ✔️
2. 1/3 + 1 1/3 = 1 2/3 ✔️
5. 5 1/4 + 2 1/4 = 7 2/4 = 7 1/2 ✔️
3. 3 2/4 + 1 1/4 = 4 3/4 ✔️
(unlabeled) 1/3 + 3 2/3 = 4 ✔️
5. 5 1/5 + 4 2/5 = 9 3/5 ✔️
3. 3 3/5 + 2 2/5 = 5 5/5 = 6 ✔️
All correct.
──────────────────────────────────────
Final Answer:
1. 3/4
2. 1 2/3
5. 7 1/2
3. 4 3/4
4. 4
5. 9 3/5
6. 6
Wait — the last two were also labeled “5” and “3”, but in sequence, after the first four, we have three more. To match the image exactly, here’s the answers in the order they appear from top to bottom:
Row 1: 1/4 + 2/4 → 3/4
Row 2: 1/3 + 1 1/3 → 1 2/3
Row 3: 5 1/4 + 2 1/4 → 7 1/2
Row 4: 3 2/4 + 1 1/4 → 4 3/4
Row 5: 1/3 + 3 2/3 → 4
Row 6: 5 1/5 + 4 2/5 → 9 3/5
Row 7: 3 3/5 + 2 2/5 → 6
Since the user may expect answers in the order shown, and the labels might be typos or part of a larger set, I’ll provide the answers in the exact visual order from top to bottom.
──────────────────────────────────────
Final Answer:
3/4
1 2/3
7 1/2
4 3/4
4
9 3/5
6
---
Problem 1:
> 1/4 + 2/4 = ?
Same denominator (4), so just add numerators:
1 + 2 = 3 → 3/4
✔ Final for #1: 3/4
---
Problem 2:
> 1/3 + 1 1/3 = ?
First, write 1 1/3 as an improper fraction or keep as mixed number.
We can think:
1/3 + 1 + 1/3 = 1 + (1/3 + 1/3) = 1 + 2/3 = 1 2/3
✔ Final for #2: 1 2/3
---
Problem 5 (third one listed):
> 5 1/4 + 2 1/4 = ?
Add whole numbers: 5 + 2 = 7
Add fractions: 1/4 + 1/4 = 2/4 = 1/2
So total: 7 1/2
Wait — let me double-check:
5 1/4 + 2 1/4 = (5+2) + (1/4 + 1/4) = 7 + 2/4 = 7 + 1/2 = 7 1/2
✔ Final for #5: 7 1/2
*(Note: The problems are not in order — this is labeled “5” but is third on the list. We’ll follow the numbering as written.)*
---
Problem 3 (fourth one listed):
> 3 2/4 + 1 1/4 = ?
First, simplify 2/4 to 1/2? But maybe better to keep denominator 4 for now.
Add wholes: 3 + 1 = 4
Add fractions: 2/4 + 1/4 = 3/4
Total: 4 3/4
But wait — 2/4 can be simplified later if needed, but since answer doesn’t require simplifying unless specified, we can leave as 4 3/4.
Actually, 3/4 is already simplified.
✔ Final for #3: 4 3/4
---
Fifth problem (no number label, fifth row):
> 1/3 + 3 2/3 = ?
Think: 1/3 + 3 + 2/3 = 3 + (1/3 + 2/3) = 3 + 3/3 = 3 + 1 = 4
✔ Final for unlabeled fifth: 4
---
Sixth problem (labeled “5” again? Wait — looking back at image layout):
Actually, let’s re-list them clearly based on your image structure:
You have:
1. 1/4 + 2/4 = ___
2. 1/3 + 1 1/3 = ___
5. 5 1/4 + 2 1/4 = ___ ← This is labeled "5"
3. 3 2/4 + 1 1/4 = ___ ← labeled "3"
Then unnumbered:
- 1/3 + 3 2/3 = ___
- 5 1/5 + 4 2/5 = ___
- 3 3/5 + 2 2/5 = ___
So actually, there are 7 problems, but some labels repeat or skip. Let’s solve all 7 in order they appear:
---
Problem A (first row):
1/4 + 2/4 = 3/4 → ✔ 3/4
Problem B (second row):
1/3 + 1 1/3 = 1 + (1/3 + 1/3) = 1 + 2/3 = 1 2/3
Problem C (third row, labeled “5”):
5 1/4 + 2 1/4 = 7 + 2/4 = 7 + 1/2 = 7 1/2
Problem D (fourth row, labeled “3”):
3 2/4 + 1 1/4 = 4 + 3/4 = 4 3/4
Problem E (fifth row, no label):
1/3 + 3 2/3 = 3 + (1/3 + 2/3) = 3 + 1 = 4
Problem F (sixth row, labeled “5” again?):
5 1/5 + 4 2/5 = (5+4) + (1/5 + 2/5) = 9 + 3/5 = 9 3/5
Problem G (seventh row, labeled “3” again?):
3 3/5 + 2 2/5 = (3+2) + (3/5 + 2/5) = 5 + 5/5 = 5 + 1 = 6
---
Now, let’s verify each calculation once more:
1. 1/4 + 2/4 = 3/4 ✔️
2. 1/3 + 1 1/3 = 1 2/3 ✔️
5. 5 1/4 + 2 1/4 = 7 2/4 = 7 1/2 ✔️
3. 3 2/4 + 1 1/4 = 4 3/4 ✔️
(unlabeled) 1/3 + 3 2/3 = 4 ✔️
5. 5 1/5 + 4 2/5 = 9 3/5 ✔️
3. 3 3/5 + 2 2/5 = 5 5/5 = 6 ✔️
All correct.
──────────────────────────────────────
Final Answer:
1. 3/4
2. 1 2/3
5. 7 1/2
3. 4 3/4
4. 4
5. 9 3/5
6. 6
Wait — the last two were also labeled “5” and “3”, but in sequence, after the first four, we have three more. To match the image exactly, here’s the answers in the order they appear from top to bottom:
Row 1: 1/4 + 2/4 → 3/4
Row 2: 1/3 + 1 1/3 → 1 2/3
Row 3: 5 1/4 + 2 1/4 → 7 1/2
Row 4: 3 2/4 + 1 1/4 → 4 3/4
Row 5: 1/3 + 3 2/3 → 4
Row 6: 5 1/5 + 4 2/5 → 9 3/5
Row 7: 3 3/5 + 2 2/5 → 6
Since the user may expect answers in the order shown, and the labels might be typos or part of a larger set, I’ll provide the answers in the exact visual order from top to bottom.
──────────────────────────────────────
Final Answer:
3/4
1 2/3
7 1/2
4 3/4
4
9 3/5
6
Parent Tip: Review the logic above to help your child master the concept of mixed fraction worksheet.