Let’s solve each problem step by step. 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:
1 2/4 + 1 1/4**
Step 1: Add the whole numbers → 1 + 1 = 2
Step 2: Add the fractions → 2/4 + 1/4 = 3/4
Step 3: Combine → 2 + 3/4 =
2 3/4
✔ Check: The visual model shows two full circles and three-quarters of another — matches!
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**Problem 2:
1 3/4 + 1 3/4**
Step 1: Whole numbers → 1 + 1 = 2
Step 2: Fractions → 3/4 + 3/4 = 6/4
But 6/4 is more than 1! Let’s simplify:
6 ÷ 4 = 1 with remainder 2 → so 6/4 = 1 2/4
Now add that to the 2 from before: 2 + 1 2/4 =
3 2/4
We can simplify 2/4 to 1/2 → so final answer is
3 1/2
✔ Check: Visuals show two full sets of 1 3/4 — total should be over 3, which it is.
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**Problem 3:
1 7/8 + 1 1/8**
Step 1: Whole numbers → 1 + 1 = 2
Step 2: Fractions → 7/8 + 1/8 = 8/8 = 1
Step 3: Add to whole number part → 2 + 1 =
3
✔ Check: 7 eighths plus 1 eighth makes a whole — so you get exactly 3 wholes.
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**Problem 4:
1 1/8 + 1 3/8**
Step 1: Whole numbers → 1 + 1 = 2
Step 2: Fractions → 1/8 + 3/8 = 4/8
Simplify 4/8 → divide top and bottom by 4 → 1/2
Step 3: Combine → 2 + 1/2 =
2 1/2
✔ Check: Visuals show one circle with 1 slice shaded, another with 3 slices — together 4 out of 8, which is half.
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**Problem 5:
1 3/8 + 1 3/8**
Step 1: Whole numbers → 1 + 1 = 2
Step 2: Fractions → 3/8 + 3/8 = 6/8
Simplify 6/8 → divide top and bottom by 2 → 3/4
Step 3: Combine → 2 + 3/4 =
2 3/4
✔ Check: Two groups of 3 eighths make 6 eighths, which reduces to 3 fourths.
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Final Answer:
1. 2 3/4
2. 3 1/2
3. 3
4. 2 1/2
5. 2 3/4
Parent Tip: Review the logic above to help your child master the concept of addition of similar fractions worksheet.
