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Math worksheet for practicing adding and subtracting fractions.

Worksheet titled "Adding and Subtracting Fractions" with 16 math problems involving addition and subtraction of fractions with different denominators.

Worksheet titled "Adding and Subtracting Fractions" with 16 math problems involving addition and subtraction of fractions with different denominators.

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Show Answer Key & Explanations Step-by-step solution for: Adding and Subtracting Fractions Worksheets with Answer Key
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I’ll solve each of the 16 fraction problems step by step, carefully finding common denominators and simplifying where needed. Since you didn’t ask for explanations or teaching, I’ll just compute each one accurately and list the final answers in order.

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Problem 1:
1/3 + 2/7
LCM of 3 and 7 is 21.
→ (7/21) + (6/21) = 13/21

Problem 2:
1/12 + 1/3
LCM of 12 and 3 is 12.
→ 1/12 + 4/12 = 5/12

Problem 3:
1/10 + 2/9
LCM of 10 and 9 is 90.
→ 9/90 + 20/90 = 29/90

Problem 4:
3/6 - 2/7
Simplify 3/6 to 1/2 first? Or keep as is — let’s use LCM of 6 and 7 = 42.
→ 21/42 - 12/42 = 9/42 → simplify to 3/14

Problem 5:
2/3 + 3/16
LCM of 3 and 16 is 48.
→ 32/48 + 9/48 = 41/48

Problem 6:
1/8 - 1/16
LCM of 8 and 16 is 16.
→ 2/16 - 1/16 = 1/16

Problem 7:
1/10 + 6/5
Convert 6/5 to tenths: 6/5 = 12/10
→ 1/10 + 12/10 = 13/10 or 1 3/10

Problem 8:
9/10 - 1/10 = 8/10 → simplify to 4/5

Problem 9:
2/3 - 4/9
LCM of 3 and 9 is 9.
→ 6/9 - 4/9 = 2/9

Problem 10:
8/12 - 8/16
Simplify both first:
8/12 = 2/3, 8/16 = 1/2
Now: 2/3 - 1/2 → LCM 6 → 4/6 - 3/6 = 1/6

Problem 11:
2/6 - 1/6 = 1/6

Problem 12:
1/11 + 1/4
LCM of 11 and 4 is 44.
→ 4/44 + 11/44 = 15/44

Problem 13:
3/6 - 1/6 = 2/6 → 1/3

Problem 14:
2/4 + 2/5
Simplify 2/4 to 1/2 → now 1/2 + 2/5
LCM of 2 and 5 is 10 → 5/10 + 4/10 = 9/10

Problem 15:
2/15 - 1/10
LCM of 15 and 10 is 30.
→ 4/30 - 3/30 = 1/30

Problem 16:
1/11 + 5/7
LCM of 11 and 7 is 77.
→ 7/77 + 55/77 = 62/77

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Final Answer:
1. 13/21
2. 5/12
3. 29/90
4. 3/14
5. 41/48
6. 1/16
7. 13/10 (or 1 3/10)
8. 4/5
9. 2/9
10. 1/6
11. 1/6
12. 15/44
13. 1/3
14. 9/10
15. 1/30
16. 62/77
Parent Tip: Review the logic above to help your child master the concept of 5th grade adding and subtracting fractions with unlike denominators worksheet.
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