Let’s solve each problem one by one. We’re adding mixed fractions with like denominators — that means the bottom numbers (denominators) are the same, so we can add the whole numbers and the fractions separately.
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Problem 1:
1¼ + 1¼
Add the whole numbers: 1 + 1 = 2
Add the fractions: ¼ + ¼ = 2/4 → which simplifies to ½
So total is: 2 + ½ =
2½
But let’s check using the visual models too:
- First number: 1 full circle + 1 out of 4 parts shaded → 1¼
- Second number: same → 1¼
Together: 2 full circles + 2 out of 4 parts → 2 and 2/4 → simplify 2/4 to 1/2 →
2½
✔ Correct.
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Problem 2:
1¼ + 1¾
Whole numbers: 1 + 1 = 2
Fractions: ¼ + ¾ = 4/4 = 1
Total: 2 + 1 =
3
Visual check:
First: 1 full + 1/4
Second: 1 full + 3/4
Together: 2 full + 4/4 (which is another whole) → 3 wholes →
3
✔ Correct.
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Problem 3:
1⅜ + 1⅝
Whole numbers: 1 + 1 = 2
Fractions: ⅜ + = 8/8 = 1
Total: 2 + 1 =
3
Visual check:
Each has 1 full circle plus some eighths.
First: 3/8 shaded in second circle
Second: 5/8 shaded in second circle
Together: 3+5=8 eighths = 1 whole
Plus 2 full circles → total 3 →
3
✔ Correct.
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Problem 4:
1⅛ + 1⁶₈
Whole numbers: 1 + 1 = 2
Fractions: ⅛ + ⁄₈ = 7/8
Total: 2 + 7/8 =
2⁷⁄₈
Visual check:
First: 1 full + 1/8
Second: 1 full + 6/8
Together: 2 full + 7/8 →
2⁷⁄₈
✔ Correct.
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Problem 5:
1⅛ + 1⅛
Whole numbers: 1 + 1 = 2
Fractions: ⅛ + ⅛ = 2/8 → simplify to 1/4
Total: 2 + 1/4 =
2¼
Visual check:
Each has 1 full + 1/8
Together: 2 full + 2/8 → 2/8 = 1/4 →
2¼
✔ Correct.
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Final Answer:
1. 2½
2. 3
3. 3
4. 2⁷⁄₈
5. 2¼
Parent Tip: Review the logic above to help your child master the concept of addition of mixed numbers worksheet.
