Grade 4 worksheet for adding fractions with like denominators, designed for online reading and math practice.
A Grade 4 math worksheet titled "Adding fractions (like denominators)" from K5 Learning, featuring 21 fraction addition problems with like denominators.
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Step-by-step solution for: Grade 4 Fractions Worksheets | Worsheets library
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Show Answer Key & Explanations
Step-by-step solution for: Grade 4 Fractions Worksheets | Worsheets library
Since both ExplainAnswer and TeachTopic are false, we skip those sections.
We also skip GeneratePractice since it’s set to false.
That means we only need to provide the Final Answer — but wait! The user uploaded an image with 21 fraction addition problems. Since no specific problem was selected, and the instruction says “Solve the problem accurately,” I must assume the intent is to solve ALL problems shown in the worksheet.
But note: The response format rules say:
> → If an option is false, completely omit that section.
And:
> → IMPORTANT: Complete ALL reasoning and explanations BEFORE writing the Final Answer.
However, since ExplainAnswer is false, we are not supposed to explain anything — yet we still need to compute all answers correctly before giving the final answer.
This creates a conflict: we’re told to do reasoning *before* the final answer, but if ExplainAnswer is false, we shouldn’t write any explanation.
Let me re-read the rules:
> → Always follow the structure below.
> → If an option is false, completely omit that section.
So if ExplainAnswer is false, we don’t write an “Explanation:” section — but we still must do the math internally and verify it.
Then, for the Final Answer, since there are 21 problems, I should list all 21 answers in order.
Let me solve them one by one carefully.
---
All problems are adding fractions with like denominators → just add numerators, keep denominator.
1. 7/11 + 2/11 = (7+2)/11 = 9/11
2. 2/7 + 2/7 = 4/7
3. 2/9 + 3/9 = 5/9
4. 2/7 + 6/7 = 8/7 → can be left as improper or written as 1 1/7, but since others are improper, we’ll keep as 8/7 unless specified. But looking at worksheet, they probably expect simplified or mixed? Let’s check problem 5: 19/20 + 19/20 = 38/20 → which simplifies to 19/10 or 1 9/10. But the worksheet doesn’t specify. Since it’s Grade 4, likely they want improper fractions or mixed? Actually, in elementary, sometimes they leave as improper. But let’s see problem 6: 24/25 + 20/25 = 44/25 — again, improper. I think for consistency, we’ll write as improper fraction unless it reduces to whole number.
Actually, looking at problem 11: 11/12 + 11/12 = 22/12 = 11/6 — but maybe they want simplified? Hmm.
Wait — the instruction says “Find the sum.” It doesn’t say simplify. But in math, we usually simplify fractions.
Let me check standard practice: In Grade 4, when adding like denominators, they often leave as improper fraction or convert to mixed number. But to be safe, I’ll simplify where possible.
Actually, let’s look at problem 1: 9/11 — already simplified.
Problem 2: 4/7 — simplified.
Problem 3: 5/9 — simplified.
Problem 4: 8/7 — this is greater than 1, so perhaps write as mixed number? But the worksheet has blank lines, and no instruction. To match typical worksheets, I think they expect the fraction as is, even if improper. But let me see problem 19: 2/16 + 13/16 = 15/16 — fine.
Problem 20: 8/10 + 5/10 = 13/10 — again, improper.
I think for this level, they accept improper fractions. But to be precise, I’ll reduce fractions to lowest terms.
For example:
Problem 4: 8/7 — already reduced.
Problem 5: 19/20 + 19/20 = 38/20 → divide numerator and denominator by 2 → 19/10
Similarly, problem 6: 24/25 + 20/25 = 44/25 — 44 and 25 share no common factors, so 44/25.
Problem 7: 1/4 + 1/4 = 2/4 = 1/2 — ah, here we should simplify!
The worksheet says “Find the sum.” In math, sum should be in simplest form.
So I will simplify each answer.
Let me go through each:
1. 7/11 + 2/11 = 9/11 → already simplified
2. 2/7 + 2/7 = 4/7 → simplified
3. 2/9 + 3/9 = 5/9 → simplified
4. 2/7 + 6/7 = 8/7 → 8 and 7 coprime, so 8/7
5. 19/20 + 19/20 = 38/20 = 19/10 (divide by 2)
6. 24/25 + 20/25 = 44/25 → 44 and 25 coprime, so 44/25
7. 1/4 + 1/4 = 2/4 = 1/2
8. 5/100 + 9/100 = 14/100 = 7/50 (divide by 2)
9. 5/8 + 7/8 = 12/8 = 3/2 (divide by 4)
10. 11/12 + 11/12 = 22/12 = 11/6 (divide by 2)
11. 2/6 + 5/6 = 7/6 → already simplified? 7 and 6 coprime, yes. But 2/6 can be simplified first? Wait, no — we add first then simplify. 2/6 + 5/6 = 7/6 — and 7/6 is simplified. But 2/6 is 1/3, but since we're adding, better to add then simplify. 7/6 is fine.
Actually, 2/6 is not simplified, but in the context of adding, we can add as is and then simplify the result. So 7/6 is correct and simplified.
12. 1/2 + 1/2 = 2/2 = 1
13. 2/15 + 3/15 = 5/15 = 1/3
14. 7/14 + 6/14 = 13/14 → already simplified
15. 11/13 + 12/13 = 23/13 → 23 and 13 coprime, so 23/13
16. 3/5 + 4/5 = 7/5
17. 7/11 + 5/11 = 12/11
18. 1/3 + 1/3 = 2/3
19. 2/16 + 13/16 = 15/16 → already simplified
20. 8/10 + 5/10 = 13/10 → 13 and 10 coprime, so 13/10
21. 6/50 + 15/50 = 21/50 → 21 and 50 coprime, so 21/50
Now, let me double-check a few:
Problem 8: 5/100 + 9/100 = 14/100 = 7/50 — yes.
Problem 9: 5/8 + 7/8 = 12/8 = 3/2 — yes.
Problem 10: 11/12 + 11/12 = 22/12 = 11/6 — yes.
Problem 11: 2/6 + 5/6 = 7/6 — but 2/6 is 1/3, so 1/3 + 5/6 = 2/6 + 5/6 = 7/6 — same thing. And 7/6 is correct.
Problem 13: 2/15 + 3/15 = 5/15 = 1/3 — yes.
Problem 19: 2/16 + 13/16 = 15/16 — 15 and 16 coprime, yes.
Problem 21: 6/50 + 15/50 = 21/50 — 21 and 50 share no common factors, yes.
All seem correct.
Now, for the Final Answer, since there are 21 problems, I should list them in order.
But the response format says: "Provide only the final correct answer" — and since it's multiple, I'll list them as a numbered list.
Also, note that some answers are improper fractions, which is acceptable.
So, Final Answer will be the list of 21 answers.
Let me write them clearly:
1. \frac{9}{11}
2. \frac{4}{7}
3. \frac{5}{9}
4. \frac{8}{7}
5. \frac{19}{10}
6. \frac{44}{25}
7. \frac{1}{2}
8. \frac{7}{50}
9. \frac{3}{2}
10. \frac{11}{6}
11. \frac{7}{6}
12. 1
13. \frac{1}{3}
14. \frac{13}{14}
15. \frac{23}{13}
16. \frac{7}{5}
17. \frac{12}{11}
18. \frac{2}{3}
19. \frac{15}{16}
20. \frac{13}{10}
21. \frac{21}{50}
I think that's all.
Now, to present in the Final Answer section.
Since the user might expect a boxed answer, but there are 21, I'll write them as a list.
In the response, I'll put them in a clean format.
Note: For problem 12, it's 1, which is a whole number.
Also, for problem 7, 1/2, etc.
I think this is correct.
So, Final Answer:
We also skip GeneratePractice since it’s set to false.
That means we only need to provide the Final Answer — but wait! The user uploaded an image with 21 fraction addition problems. Since no specific problem was selected, and the instruction says “Solve the problem accurately,” I must assume the intent is to solve ALL problems shown in the worksheet.
But note: The response format rules say:
> → If an option is false, completely omit that section.
And:
> → IMPORTANT: Complete ALL reasoning and explanations BEFORE writing the Final Answer.
However, since ExplainAnswer is false, we are not supposed to explain anything — yet we still need to compute all answers correctly before giving the final answer.
This creates a conflict: we’re told to do reasoning *before* the final answer, but if ExplainAnswer is false, we shouldn’t write any explanation.
Let me re-read the rules:
> → Always follow the structure below.
> → If an option is false, completely omit that section.
So if ExplainAnswer is false, we don’t write an “Explanation:” section — but we still must do the math internally and verify it.
Then, for the Final Answer, since there are 21 problems, I should list all 21 answers in order.
Let me solve them one by one carefully.
---
All problems are adding fractions with like denominators → just add numerators, keep denominator.
1. 7/11 + 2/11 = (7+2)/11 = 9/11
2. 2/7 + 2/7 = 4/7
3. 2/9 + 3/9 = 5/9
4. 2/7 + 6/7 = 8/7 → can be left as improper or written as 1 1/7, but since others are improper, we’ll keep as 8/7 unless specified. But looking at worksheet, they probably expect simplified or mixed? Let’s check problem 5: 19/20 + 19/20 = 38/20 → which simplifies to 19/10 or 1 9/10. But the worksheet doesn’t specify. Since it’s Grade 4, likely they want improper fractions or mixed? Actually, in elementary, sometimes they leave as improper. But let’s see problem 6: 24/25 + 20/25 = 44/25 — again, improper. I think for consistency, we’ll write as improper fraction unless it reduces to whole number.
Actually, looking at problem 11: 11/12 + 11/12 = 22/12 = 11/6 — but maybe they want simplified? Hmm.
Wait — the instruction says “Find the sum.” It doesn’t say simplify. But in math, we usually simplify fractions.
Let me check standard practice: In Grade 4, when adding like denominators, they often leave as improper fraction or convert to mixed number. But to be safe, I’ll simplify where possible.
Actually, let’s look at problem 1: 9/11 — already simplified.
Problem 2: 4/7 — simplified.
Problem 3: 5/9 — simplified.
Problem 4: 8/7 — this is greater than 1, so perhaps write as mixed number? But the worksheet has blank lines, and no instruction. To match typical worksheets, I think they expect the fraction as is, even if improper. But let me see problem 19: 2/16 + 13/16 = 15/16 — fine.
Problem 20: 8/10 + 5/10 = 13/10 — again, improper.
I think for this level, they accept improper fractions. But to be precise, I’ll reduce fractions to lowest terms.
For example:
Problem 4: 8/7 — already reduced.
Problem 5: 19/20 + 19/20 = 38/20 → divide numerator and denominator by 2 → 19/10
Similarly, problem 6: 24/25 + 20/25 = 44/25 — 44 and 25 share no common factors, so 44/25.
Problem 7: 1/4 + 1/4 = 2/4 = 1/2 — ah, here we should simplify!
The worksheet says “Find the sum.” In math, sum should be in simplest form.
So I will simplify each answer.
Let me go through each:
1. 7/11 + 2/11 = 9/11 → already simplified
2. 2/7 + 2/7 = 4/7 → simplified
3. 2/9 + 3/9 = 5/9 → simplified
4. 2/7 + 6/7 = 8/7 → 8 and 7 coprime, so 8/7
5. 19/20 + 19/20 = 38/20 = 19/10 (divide by 2)
6. 24/25 + 20/25 = 44/25 → 44 and 25 coprime, so 44/25
7. 1/4 + 1/4 = 2/4 = 1/2
8. 5/100 + 9/100 = 14/100 = 7/50 (divide by 2)
9. 5/8 + 7/8 = 12/8 = 3/2 (divide by 4)
10. 11/12 + 11/12 = 22/12 = 11/6 (divide by 2)
11. 2/6 + 5/6 = 7/6 → already simplified? 7 and 6 coprime, yes. But 2/6 can be simplified first? Wait, no — we add first then simplify. 2/6 + 5/6 = 7/6 — and 7/6 is simplified. But 2/6 is 1/3, but since we're adding, better to add then simplify. 7/6 is fine.
Actually, 2/6 is not simplified, but in the context of adding, we can add as is and then simplify the result. So 7/6 is correct and simplified.
12. 1/2 + 1/2 = 2/2 = 1
13. 2/15 + 3/15 = 5/15 = 1/3
14. 7/14 + 6/14 = 13/14 → already simplified
15. 11/13 + 12/13 = 23/13 → 23 and 13 coprime, so 23/13
16. 3/5 + 4/5 = 7/5
17. 7/11 + 5/11 = 12/11
18. 1/3 + 1/3 = 2/3
19. 2/16 + 13/16 = 15/16 → already simplified
20. 8/10 + 5/10 = 13/10 → 13 and 10 coprime, so 13/10
21. 6/50 + 15/50 = 21/50 → 21 and 50 coprime, so 21/50
Now, let me double-check a few:
Problem 8: 5/100 + 9/100 = 14/100 = 7/50 — yes.
Problem 9: 5/8 + 7/8 = 12/8 = 3/2 — yes.
Problem 10: 11/12 + 11/12 = 22/12 = 11/6 — yes.
Problem 11: 2/6 + 5/6 = 7/6 — but 2/6 is 1/3, so 1/3 + 5/6 = 2/6 + 5/6 = 7/6 — same thing. And 7/6 is correct.
Problem 13: 2/15 + 3/15 = 5/15 = 1/3 — yes.
Problem 19: 2/16 + 13/16 = 15/16 — 15 and 16 coprime, yes.
Problem 21: 6/50 + 15/50 = 21/50 — 21 and 50 share no common factors, yes.
All seem correct.
Now, for the Final Answer, since there are 21 problems, I should list them in order.
But the response format says: "Provide only the final correct answer" — and since it's multiple, I'll list them as a numbered list.
Also, note that some answers are improper fractions, which is acceptable.
So, Final Answer will be the list of 21 answers.
Let me write them clearly:
1. \frac{9}{11}
2. \frac{4}{7}
3. \frac{5}{9}
4. \frac{8}{7}
5. \frac{19}{10}
6. \frac{44}{25}
7. \frac{1}{2}
8. \frac{7}{50}
9. \frac{3}{2}
10. \frac{11}{6}
11. \frac{7}{6}
12. 1
13. \frac{1}{3}
14. \frac{13}{14}
15. \frac{23}{13}
16. \frac{7}{5}
17. \frac{12}{11}
18. \frac{2}{3}
19. \frac{15}{16}
20. \frac{13}{10}
21. \frac{21}{50}
I think that's all.
Now, to present in the Final Answer section.
Since the user might expect a boxed answer, but there are 21, I'll write them as a list.
In the response, I'll put them in a clean format.
Note: For problem 12, it's 1, which is a whole number.
Also, for problem 7, 1/2, etc.
I think this is correct.
So, Final Answer:
Parent Tip: Review the logic above to help your child master the concept of fraction worksheet fourth grade.