Let’s solve each problem step by step. We’re adding mixed numbers and fractions. Remember: when the denominators are the same, we can add the numerators directly. If the fraction part adds up to 1 or more, we convert it to a whole number and add it to the whole number part.
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Problem 1:
¼ + ¾ = ?
→ Add numerators: 1 + 3 = 4 → ⁴⁄ = 1
✔ Final:
1
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Problem 2:
1⅓ + 1⅓ = ?
→ Whole numbers: 1 + 1 = 2
→ Fractions: ⅓ + ⅓ = ²⁄₃
✔ Final:
2⅔
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Problem 5 (first one):
1¼ + 2¼ = ?
→ Whole numbers: 1 + 2 = 3
→ Fractions: ¼ + ¼ = ²⁄₄ = ½ (simplified)
✔ Final:
3½
*(Note: The worksheet labels this as “5” but it’s the third problem — we’ll follow the order given.)*
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Problem 3:
2¼ + 1¼ = ?
→ Whole numbers: 2 + 1 = 3
→ Fractions: ¼ + ¼ = ²⁄₄ = ½
✔ Final:
3½
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Next problem (unnumbered, after 3):
⅓ + 3⅔ = ?
→ Think of ⅓ as 0⅓
→ Whole numbers: 0 + 3 = 3
→ Fractions: ⅓ + ⅔ = ³⁄₃ = 1
→ So total: 3 + 1 = 4
✔ Final:
4
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Problem 5 (second one):
5⅕ + 4⅖ = ?
→ Whole numbers: 5 + 4 = 9
→ Fractions: ⅕ + ⅖ = ³⁄₅
✔ Final:
9⅗
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Last problem:
3⅗ + 2⅖ = ?
→ Whole numbers: 3 + 2 = 5
→ Fractions: ⅗ + ⅖ = ⁵⁄ = 1
→ Total: 5 + 1 = 6
✔ Final:
6
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Final Answer:
1
2⅔
3½
3½
4
9⅗
6
Parent Tip: Review the logic above to help your child master the concept of math worksheet 5th grade fractions.
