Let’s solve each problem step by step. We’re adding fractions with unlike denominators, so we need to find a common denominator first — usually the least common multiple (LCM) of the two denominators.
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Problem 1: 3/8 + 1/4
- Denominators: 8 and 4 → LCM is 8
- Convert 1/4 to eighths: 1/4 = 2/8
- Now add: 3/8 + 2/8 = 5/8
✔ Answer:
5/8
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Problem 2: 1/8 + 1/2
- Denominators: 8 and 2 → LCM is 8
- Convert 1/2 to eighths: 1/2 = 4/8
- Add: 1/8 + 4/8 = 5/8
✔ Answer:
5/8
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Problem 3: 1/2 + 1/6
- Denominators: 2 and 6 → LCM is 6
- Convert 1/2 to sixths: 1/2 = 3/6
- Add: 3/6 + 1/6 = 4/6
- Simplify: 4/6 = 2/3
✔ Answer:
2/3
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Problem 4: 2/6 + 2/3
- First, simplify 2/6 → 1/3 (optional but helpful)
- So now: 1/3 + 2/3 = 3/3 = 1
- OR without simplifying:
- Denominators: 6 and 3 → LCM is 6
- Convert 2/3 to sixths: 2/3 = 4/6
- Add: 2/6 + 4/6 = 6/6 = 1
✔ Answer:
1
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Problem 5: 5/12 + 1/3
- Denominators: 12 and 3 → LCM is 12
- Convert 1/3 to twelfths: 1/3 = 4/12
- Add: 5/12 + 4/12 = 9/12
- Simplify: 9/12 = 3/4 (divide numerator and denominator by 3)
✔ Answer:
3/4
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Final Answer:
1) 5/8
2) 5/8
3) 2/3
4) 1
5) 3/4
Parent Tip: Review the logic above to help your child master the concept of subtracting fractions with unlike denominators worksheet.
