Sure! Let’s solve
Adding Fractions Sheet 7 step by step. The instructions say: *“Add up the fractions, then simplify the answer if needed.”*
We’ll go problem by problem.
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Problem 1:
> ½ + ¼ + ⅛
Step 1: Find a common denominator.
LCM of 2, 4, and 8 is
8.
Convert each fraction:
- ½ = ⁴⁄₈
- ¼ = ²⁄₈
- ⅛ = ¹⁄₈
Step 2: Add numerators:
⁴⁄₈ + ²⁄₈ + ¹⁄₈ = ⁷⁄₈
✔ Answer: ⁷⁄₈ (already simplified)
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Problem 2:
> ⅓ + ⅙ + ¼
Step 1: LCM of 3, 6, and 4 is
12.
Convert:
- ⅓ = ⁴⁄₁₂
- ⅙ = ²⁄₁₂
- ¼ = ³⁄₁₂
Step 2: Add:
⁴⁄₁₂ + ²⁄₁₂ + ³⁄₁₂ = ⁹⁄₁₂
Step 3: Simplify ⁹⁄₁₂ → divide numerator and denominator by 3 →
¾
✔ Answer: ¾
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Problem 3:
> ⅙ + ⅓ + ¼
Same denominators as #2 → LCM = 12
Convert:
- ⅙ = ²⁄₁₂
- ⅓ = ⁴⁄₁₂
- ¼ = ³⁄₁₂
Add: ²⁄₁₂ + ⁴⁄₁₂ + ³⁄₁₂ = ⁹⁄₁₂ =
¾
✔ Answer: ¾
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Problem 4:
> ½ + ⅓ + ⅙
LCM of 2, 3, 6 =
6
Convert:
- ½ = ³⁄₆
- ⅓ = ²⁄₆
- ⅙ = ¹⁄₆
Add: ³⁄₆ + ²⁄₆ + ¹⁄₆ = ⁶⁄₆ =
1
✔ Answer: 1
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Problem 5:
> ¼ + ⅛ + ½
LCM of 4, 8, 2 =
8
Convert:
- ¼ = ²⁄₈
- ⅛ = ¹⁄₈
- ½ = ⁴⁄₈
Add: ²⁄₈ + ¹⁄₈ + ⁴⁄₈ = ⁷⁄₈
✔ Answer: ⁷⁄₈
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Problem 6:
> ¼ + ¹⁄₁₀ + ½
LCM of 4, 10, 2 =
20
Convert:
- ¼ = ⁵⁄₂₀
- ¹⁄₁₀ = ²⁄₂₀
- ½ = ¹⁰⁄₂₀
Add: ⁵⁄₂₀ + ²⁄₂₀ + ¹⁰⁄₂₀ = ¹⁷⁄₂₀
✔ Answer: ¹⁷⁄₂₀ (already simplified)
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Problem 7:
> ⅓ + ⅙ + ½
LCM of 3, 6, 2 =
6
Convert:
- ⅓ = ²⁄₆
- ⅙ = ¹⁄₆
- ½ = ³⁄₆
Add: ²⁄₆ + ¹⁄₆ + ³⁄₆ = ⁶⁄₆ =
1
✔ Answer: 1
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Problem 8:
> ¼ + ½ + ⅛
LCM of 4, 2, 8 =
8
Convert:
- ¼ = ²⁄₈
- ½ = ⁴⁄₈
- ⅛ = ¹⁄₈
Add: ²⁄₈ + ⁴⁄₈ + ¹⁄₈ = ⁷⁄₈
✔ Answer: ⁷⁄₈
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Problem 9:
> ½ + ⅓ + ¹⁄₁₂
LCM of 2, 3, 12 =
12
Convert:
- ½ = ⁶⁄₁₂
- ⅓ = ⁴⁄₁₂
- ¹⁄₁₂ = ¹⁄₁₂
Add: ⁶⁄₁₂ + ⁴⁄₁₂ + ¹⁄₁₂ = ¹¹⁄₁₂
✔ Answer: ¹¹⁄₁₂
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Problem 10:
> ¼ + ⅛ + ¹⁄₁₀
LCM of 4, 8, 10 =
40
Convert:
- ¼ = ¹⁰⁄₄₀
- ⅛ = ⁵⁄₄₀
- ¹⁄₁₀ = ⁴⁄₄₀
Add: ¹⁰⁄₄₀ + ⁵⁄₄₀ + ⁴⁄₄₀ = ¹⁹⁄₄₀
✔ Answer: ¹⁹⁄₄₀ (already simplified — 19 is prime)
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##
✔ Final Answers:
1)
⁷⁄₈
2)
¾
3)
¾
4)
1
5)
⁷⁄₈
6)
¹⁷⁄₂₀
7)
1
8)
⁷⁄₈
9)
¹¹⁄₁₂
10)
¹⁹⁄₄₀
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Let me know if you’d like to see visual models or step-by-step fraction bars for any of these!
Parent Tip: Review the logic above to help your child master the concept of adding fractions worksheet.
