Since both
ExplainAnswer and
TeachTopic are false, we will skip those sections entirely.
We’ll solve all 15 problems step by step, carefully computing each one. Then we’ll list the final answers in order.
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Problem 1: 4/3 + 2/5
Find common denominator of 3 and 5 → 15
Convert:
4/3 = (4×5)/(3×5) = 20/15
2/5 = (2×3)/(5×3) = 6/15
Add: 20/15 + 6/15 = 26/15
→ Can’t simplify further. Answer:
26/15
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Problem 2: 7/10 - 2/5
Common denominator of 10 and 5 → 10
Convert:
2/5 = (2×2)/(5×2) = 4/10
Subtract: 7/10 - 4/10 = 3/10
→ Already simplified. Answer:
3/10
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Problem 3: 5/9 + 2/7
Common denominator of 9 and 7 → 63
Convert:
5/9 = (5×7)/63 = 35/63
2/7 = (2×9)/63 = 18/63
Add: 35/63 + 18/63 = 53/63
→ Already simplified. Answer:
53/63
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Problem 4: 4/8 - 1/4
First, simplify 4/8 → 1/2
Now: 1/2 - 1/4
Common denominator → 4
1/2 = 2/4
2/4 - 1/4 = 1/4
Answer:
1/4
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Problem 5: 3/9 + 1/3
Simplify 3/9 → 1/3
Now: 1/3 + 1/3 = 2/3
Answer:
2/3
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Problem 6: 2/5 + 1/10
Common denominator → 10
2/5 = 4/10
4/10 + 1/10 = 5/10 = 1/2
Answer:
1/2
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Problem 7: 4/5 + 9/10
Common denominator → 10
4/5 = 8/10
8/10 + 9/10 = 17/10
→ Improper fraction, leave as is or write as mixed number? Since others are fractions, keep as 17/10
Answer:
17/10
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Problem 8: 4/6 - 1/3
Simplify 4/6 → 2/3
2/3 - 1/3 = 1/3
Answer:
1/3
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Problem 9: 3/12 + 2/4
Simplify:
3/12 = 1/4
2/4 = 1/2
Now: 1/4 + 1/2
Common denominator → 4
1/2 = 2/4
1/4 + 2/4 = 3/4
Answer:
3/4
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Problem 10: 5/12 - 1/6
Common denominator → 12
1/6 = 2/12
5/12 - 2/12 = 3/12 = 1/4
Answer:
1/4
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Problem 11: 2/8 + 3/9
Simplify:
2/8 = 1/4
3/9 = 1/3
Now: 1/4 + 1/3
Common denominator → 12
1/4 = 3/12
1/3 = 4/12
3/12 + 4/12 = 7/12
Answer:
7/12
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Problem 12: 1/4 - 1/8
Common denominator → 8
1/4 = 2/8
2/8 - 1/8 = 1/8
Answer:
1/8
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Problem 13: 6/7 + 2/6
Simplify 2/6 → 1/3
Now: 6/7 + 1/3
Common denominator → 21
6/7 = 18/21
1/3 = 7/21
18/21 + 7/21 = 25/21
Answer:
25/21
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Problem 14: 1/3 - 1/7
Common denominator → 21
1/3 = 7/21
1/7 = 3/21
7/21 - 3/21 = 4/21
Answer:
4/21
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Problem 15: 7/8 + 4/5
Common denominator → 40
7/8 = 35/40
4/5 = 32/40
35/40 + 32/40 = 67/40
Answer:
67/40
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Final Answer:
1. 26/15
2. 3/10
3. 53/63
4. 1/4
5. 2/3
6. 1/2
7. 17/10
8. 1/3
9. 3/4
10. 1/4
11. 7/12
12. 1/8
13. 25/21
14. 4/21
15. 67/40
Parent Tip: Review the logic above to help your child master the concept of 4th grade adding subtracting unlike denominators worksheet.
