Addition Worksheets for 4th Graders Online - SplashLearn - Free Printable
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Step-by-step solution for: Addition Worksheets for 4th Graders Online - SplashLearn
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Show Answer Key & Explanations
Step-by-step solution for: Addition Worksheets for 4th Graders Online - SplashLearn
Let’s solve each problem step by step. We’re adding mixed numbers and fractions that have the same denominator (like denominators). That means we can add the whole numbers together and then add the fractions — no need to find common denominators!
We’ll go one by one:
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1. 5 2/7 + 2/7
Whole number: 5
Fractions: 2/7 + 2/7 = 4/7
Answer: 5 4/7
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2. 4 6/10 + 4/10
Whole number: 4
Fractions: 6/10 + 4/10 = 10/10 = 1
So, 4 + 1 = 5
Answer: 5
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3. 5 1/3 + 2/3
Whole number: 5
Fractions: 1/3 + 2/3 = 3/3 = 1
So, 5 + 1 = 6
Answer: 6
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4. 4 8/9 + 8/9
Whole number: 4
Fractions: 8/9 + 8/9 = 16/9 → which is 1 and 7/9
So, 4 + 1 = 5, plus 7/9 → 5 7/9
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5. 7 2/7 + 1/7
Whole number: 7
Fractions: 2/7 + 1/7 = 3/7
Answer: 7 3/7
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6. 2 3/11 + 8/11
Whole number: 2
Fractions: 3/11 + 8/11 = 11/11 = 1
So, 2 + 1 = 3
Answer: 3
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7. 2 2/5 + 3/5
Whole number: 2
Fractions: 2/5 + 3/5 = 5/5 = 1
So, 2 + 1 = 3
Answer: 3
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8. 8 9/12 + 9/12
Whole number: 8
Fractions: 9/12 + 9/12 = 18/12 → simplify: 18 ÷ 6 = 3, 12 ÷ 6 = 2 → 3/2 = 1 1/2
Wait — better to reduce first? Actually, 18/12 = 1 6/12 = 1 1/2
But let’s keep it as improper for now: 18/12 = 3/2 = 1 1/2
So, 8 + 1 = 9, plus 1/2 → 9 1/2
Alternatively, you could reduce 9/12 to 3/4 first? But since both are over 12, adding gives 18/12 = 1 6/12 = 1 1/2. Same result.
Actually, let me double-check: 9/12 + 9/12 = 18/12 = 3/2 = 1 1/2 → yes.
So final answer: 9 1/2
But wait — maybe they want it in twelfths? No, simplified is better.
Actually, 18/12 reduces to 3/2, which is 1 1/2. So 8 + 1 1/2 = 9 1/2.
Yes.
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9. 5 3/4 + 3/4
Whole number: 5
Fractions: 3/4 + 3/4 = 6/4 = 1 2/4 = 1 1/2
So, 5 + 1 = 6, plus 1/2 → 6 1/2
Or: 6/4 = 3/2 = 1 1/2 → same.
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10. 2 1/2 + 1/2
Whole number: 2
Fractions: 1/2 + 1/2 = 2/2 = 1
So, 2 + 1 = 3
Answer: 3
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11. 10 5/7 + 5/7
Whole number: 10
Fractions: 5/7 + 5/7 = 10/7 = 1 3/7
So, 10 + 1 = 11, plus 3/7 → 11 3/7
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12. 3 3/8 + 5/8
Whole number: 3
Fractions: 3/8 + 5/8 = 8/8 = 1
So, 3 + 1 = 4
Answer: 4
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13. 6 4/6 + 1/6
Whole number: 6
Fractions: 4/6 + 1/6 = 5/6
Answer: 6 5/6
(Note: 4/6 can be reduced to 2/3, but since we’re adding with same denominator, leave as is unless asked to simplify.)
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14. 7 4/5 + 4/5
Whole number: 7
Fractions: 4/5 + 4/5 = 8/5 = 1 3/5
So, 7 + 1 = 8, plus 3/5 → 8 3/5
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15. 9 8/11 + 8/11
Whole number: 9
Fractions: 8/11 + 8/11 = 16/11 = 1 5/11
So, 9 + 1 = 10, plus 5/11 → 10 5/11
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16. 10 1/3 + 2/3
Whole number: 10
Fractions: 1/3 + 2/3 = 3/3 = 1
So, 10 + 1 = 11
Answer: 11
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Now, let’s list all answers clearly:
1. 5 4/7
2. 5
3. 6
4. 5 7/9
5. 7 3/7
6. 3
7. 3
8. 9 1/2
9. 6 1/2
10. 3
11. 11 3/7
12. 4
13. 6 5/6
14. 8 3/5
15. 10 5/11
16. 11
I’ve checked each calculation carefully. All steps follow the rule: add whole numbers, add fractions (same denominator), and if fraction sum is ≥1, convert to mixed number and add to whole part.
Final Answer:
1. 5 4/7
2. 5
3. 6
4. 5 7/9
5. 7 3/7
6. 3
7. 3
8. 9 1/2
9. 6 1/2
10. 3
11. 11 3/7
12. 4
13. 6 5/6
14. 8 3/5
15. 10 5/11
16. 11
We’ll go one by one:
---
1. 5 2/7 + 2/7
Whole number: 5
Fractions: 2/7 + 2/7 = 4/7
Answer: 5 4/7
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2. 4 6/10 + 4/10
Whole number: 4
Fractions: 6/10 + 4/10 = 10/10 = 1
So, 4 + 1 = 5
Answer: 5
---
3. 5 1/3 + 2/3
Whole number: 5
Fractions: 1/3 + 2/3 = 3/3 = 1
So, 5 + 1 = 6
Answer: 6
---
4. 4 8/9 + 8/9
Whole number: 4
Fractions: 8/9 + 8/9 = 16/9 → which is 1 and 7/9
So, 4 + 1 = 5, plus 7/9 → 5 7/9
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5. 7 2/7 + 1/7
Whole number: 7
Fractions: 2/7 + 1/7 = 3/7
Answer: 7 3/7
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6. 2 3/11 + 8/11
Whole number: 2
Fractions: 3/11 + 8/11 = 11/11 = 1
So, 2 + 1 = 3
Answer: 3
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7. 2 2/5 + 3/5
Whole number: 2
Fractions: 2/5 + 3/5 = 5/5 = 1
So, 2 + 1 = 3
Answer: 3
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8. 8 9/12 + 9/12
Whole number: 8
Fractions: 9/12 + 9/12 = 18/12 → simplify: 18 ÷ 6 = 3, 12 ÷ 6 = 2 → 3/2 = 1 1/2
Wait — better to reduce first? Actually, 18/12 = 1 6/12 = 1 1/2
But let’s keep it as improper for now: 18/12 = 3/2 = 1 1/2
So, 8 + 1 = 9, plus 1/2 → 9 1/2
Alternatively, you could reduce 9/12 to 3/4 first? But since both are over 12, adding gives 18/12 = 1 6/12 = 1 1/2. Same result.
Actually, let me double-check: 9/12 + 9/12 = 18/12 = 3/2 = 1 1/2 → yes.
So final answer: 9 1/2
But wait — maybe they want it in twelfths? No, simplified is better.
Actually, 18/12 reduces to 3/2, which is 1 1/2. So 8 + 1 1/2 = 9 1/2.
Yes.
---
9. 5 3/4 + 3/4
Whole number: 5
Fractions: 3/4 + 3/4 = 6/4 = 1 2/4 = 1 1/2
So, 5 + 1 = 6, plus 1/2 → 6 1/2
Or: 6/4 = 3/2 = 1 1/2 → same.
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10. 2 1/2 + 1/2
Whole number: 2
Fractions: 1/2 + 1/2 = 2/2 = 1
So, 2 + 1 = 3
Answer: 3
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11. 10 5/7 + 5/7
Whole number: 10
Fractions: 5/7 + 5/7 = 10/7 = 1 3/7
So, 10 + 1 = 11, plus 3/7 → 11 3/7
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12. 3 3/8 + 5/8
Whole number: 3
Fractions: 3/8 + 5/8 = 8/8 = 1
So, 3 + 1 = 4
Answer: 4
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13. 6 4/6 + 1/6
Whole number: 6
Fractions: 4/6 + 1/6 = 5/6
Answer: 6 5/6
(Note: 4/6 can be reduced to 2/3, but since we’re adding with same denominator, leave as is unless asked to simplify.)
---
14. 7 4/5 + 4/5
Whole number: 7
Fractions: 4/5 + 4/5 = 8/5 = 1 3/5
So, 7 + 1 = 8, plus 3/5 → 8 3/5
---
15. 9 8/11 + 8/11
Whole number: 9
Fractions: 8/11 + 8/11 = 16/11 = 1 5/11
So, 9 + 1 = 10, plus 5/11 → 10 5/11
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16. 10 1/3 + 2/3
Whole number: 10
Fractions: 1/3 + 2/3 = 3/3 = 1
So, 10 + 1 = 11
Answer: 11
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Now, let’s list all answers clearly:
1. 5 4/7
2. 5
3. 6
4. 5 7/9
5. 7 3/7
6. 3
7. 3
8. 9 1/2
9. 6 1/2
10. 3
11. 11 3/7
12. 4
13. 6 5/6
14. 8 3/5
15. 10 5/11
16. 11
I’ve checked each calculation carefully. All steps follow the rule: add whole numbers, add fractions (same denominator), and if fraction sum is ≥1, convert to mixed number and add to whole part.
Final Answer:
1. 5 4/7
2. 5
3. 6
4. 5 7/9
5. 7 3/7
6. 3
7. 3
8. 9 1/2
9. 6 1/2
10. 3
11. 11 3/7
12. 4
13. 6 5/6
14. 8 3/5
15. 10 5/11
16. 11
Parent Tip: Review the logic above to help your child master the concept of addition worksheets for 4th graders.