Let’s solve each problem step by step. We’re adding mixed fractions — that means a whole number plus a fraction. To add them, we can:
1. Add the whole numbers together.
2. Add the fractions together (make sure they have the same denominator first!).
3. If the fraction part adds up to more than 1, turn it into a mixed number and add the whole number part to the total.
4. Simplify if needed.
We’ll go one by one.
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Problem 1: 2½ + 1⅗
Whole numbers: 2 + 1 = 3
Fractions: ½ + ⅗ → need common denominator. LCM of 2 and 5 is 10.
½ = 5/10, ⅗ = 6/10 → 5/10 + 6/10 = 11/10 = 1¹⁄₁₀
Now add to whole number: 3 + 1¹⁄₁₀ =
4¹⁄₁₀
✔ Final Answer for #1:
4¹⁄₁₀
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Problem 2: 1⅕ + 1⅓
Whole numbers: 1 + 1 = 2
Fractions: ⅕ + ⅓ → LCM of 5 and 3 is 15
⅕ = 3/15, ⅓ = 5/15 → 3/15 + 5/15 = 8/15
Total: 2 + 8/15 =
2⁸⁄₁₅
✔ Final Answer for #2:
2⁸⁄₁₅
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Problem 3: 2¼ + 1⁵₆
Whole numbers: 2 + 1 = 3
Fractions: ¼ + ⁵⁄₆ → LCM of 4 and 6 is 12
¼ = 3/12, ⁵⁄₆ = 10/12 → 3/12 + 10/12 = 13/12 = 1¹⁄₁₂
Add to whole: 3 + 1¹⁄₁₂ =
4¹⁄₁₂
✔ Final Answer for #3:
4¹⁄₁₂
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Problem 4: 3²⁄₃ + 1²⁄₃
Whole numbers: 3 + 1 = 4
Fractions: ²⁄₃ + ²⁄₃ = ⁄₃ = 1¹⁄₃
Add to whole: 4 + 1¹⁄₃ =
5¹⁄₃
✔ Final Answer for #4:
5¹⁄₃
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Problem 5: 1⅕ + 2½
Whole numbers: 1 + 2 = 3
Fractions: ⅕ + ½ → LCM of 5 and 2 is 10
⅕ = 2/10, ½ = 5/10 → 2/10 + 5/10 = 7/10
Total: 3 + 7/10 =
3⁷⁄₁₀
✔ Final Answer for #5:
3⁷⁄₁₀
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Problem 6: 1⅕ + 1½
Whole numbers: 1 + 1 = 2
Fractions: ⅕ + ½ → LCM 10
⅕ = 2/10, ½ = 5/10 → 2/10 + 5/10 = 7/10
Total: 2 + 7/10 =
2⁷₁₀
✔ Final Answer for #6:
2⁷₁₀
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Problem 7: 1½ + 1⅓
Whole numbers: 1 + 1 = 2
Fractions: ½ + ⅓ → LCM 6
½ = 3/6, ⅓ = 2/6 → 3/6 + 2/6 = 5/6
Total: 2 + 5/6 =
2⁵⁄₆
✔ Final Answer for #7:
2⁵⁄₆
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Problem 8: 3²⁄₃ + 2²⁄₃
Whole numbers: 3 + 2 = 5
Fractions: ²⁄₃ + ²⁄₃ = ⁴⁄₃ = 1¹⁄₃
Add to whole: 5 + 1¹⁄₃ =
6¹⁄₃
✔ Final Answer for #8:
6¹⁄₃
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Problem 9: 1³⁄₅ + 1⅓
Whole numbers: 1 + 1 = 2
Fractions: ³⁄₅ + ⅓ → LCM of 5 and 3 is 15
³⁄₅ = 9/15, ⅓ = 5/15 → 9/15 + 5/15 = 14/15
Total: 2 + 14/15 =
2¹⁴⁄₁₅
✔ Final Answer for #9:
2¹⁴⁄₁₅
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Problem 10: 1²⁄₅ + 1⁴⁄₅
Whole numbers: 1 + 1 = 2
Fractions: ²⁄₅ + ⁴⁄₅ = ⁶⁄₅ = 1¹⁄₅
Add to whole: 2 + 1¹⁄₅ =
3¹⁄₅
✔ Final Answer for #10:
3¹⁄₅
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Problem 11: 1³⁄₄ + 1¼
Whole numbers: 1 + 1 = 2
Fractions: ³⁄₄ + ¼ = ⁴⁄₄ = 1
Add to whole: 2 + 1 =
3
✔ Final Answer for #11:
3
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Problem 12: 2½ + 5½
Whole numbers: 2 + 5 = 7
Fractions: ½ + ½ = 1
Add to whole: 7 + 1 =
8
✔ Final Answer for #12:
8
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Final Answer:
1. 4¹⁄₁₀
2. 2⁸⁄₁₅
3. 4¹⁄₁₂
4. 5¹⁄₃
5. 3⁷⁄₁₀
6. 2⁷₁₀
7. 2⁵⁄₆
8. 6¹⁄₃
9. 2¹⁴⁄₁₅
10. 3¹⁄₅
11. 3
12. 8
Parent Tip: Review the logic above to help your child master the concept of adding mixed numbers with unlike denominators worksheet.
