Let’s solve each addition problem step by step. We’ll add the whole numbers first, then the fractions. If the fractions have different denominators, we’ll find a common denominator before adding.
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1. 1 1/7 + 1 2/7
Whole numbers: 1 + 1 = 2
Fractions: 1/7 + 2/7 = 3/7
→ Total:
2 3/7
Wait — that’s not in the answer choices? Let me check again.
Actually, looking at the right side, one of the answers is
2 3/7 — yes! It’s the last one on the right.
So this matches with
2 3/7
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2. 5 2/3 + 1 2/3
Whole numbers: 5 + 1 = 6
Fractions: 2/3 + 2/3 = 4/3 → which is 1 1/3
Now add to whole number: 6 + 1 1/3 =
7 1/3
That’s on the right — top one:
7 1/3
Match:
5 2/3 + 1 2/3 → 7 1/3
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3. 2 2/5 + 2 1/2
Whole numbers: 2 + 2 = 4
Fractions: 2/5 + 1/2 → need common denominator. LCM of 5 and 2 is 10.
2/5 = 4/10
1/2 = 5/10
Sum: 4/10 + 5/10 = 9/10
Total: 4 + 9/10 =
4 9/10
That’s on the right — fifth one down:
4 9/10
Match:
2 2/5 + 2 1/2 → 4 9/10
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4. 3 1/3 + 4 5/6
Whole numbers: 3 + 4 = 7
Fractions: 1/3 + 5/6 → LCM of 3 and 6 is 6.
1/3 = 2/6
2/6 + 5/6 = 7/6 → which is 1 1/6
Add to whole: 7 + 1 1/6 =
8 1/6
That’s second from top on right:
8 1/6
Match:
3 1/3 + 4 5/6 → 8 1/6
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5. 1 1/8 + 2 3/4
Whole numbers: 1 + 2 = 3
Fractions: 1/8 + 3/4 → LCM of 8 and 4 is 8.
3/4 = 6/8
1/8 + 6/8 = 7/8
Total: 3 + 7/8 =
3 7/8
That’s third from top on right:
3 7/8
Match:
1 1/8 + 2 3/4 → 3 7/8
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6. 3 1/6 + 2 2/9
Whole numbers: 3 + 2 = 5
Fractions: 1/6 + 2/9 → LCM of 6 and 9 is 18.
1/6 = 3/18
2/9 = 4/18
Sum: 3/18 + 4/18 = 7/18
Total: 5 + 7/18 =
5 7/18
That’s fourth from top on right:
5 7/18
Match:
3 1/6 + 2 2/9 → 5 7/18
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Now let’s list all matches clearly:
Left Side → Right Side
- 1 1/7 + 1 2/7 →
2 3/7
- 5 2/3 + 1 2/3 →
7 1/3
- 2 2/5 + 2 1/2 →
4 9/10
- 3 1/3 + 4 5/6 →
8 1/6
- 1 1/8 + 2 3/4 →
3 7/8
- 3 1/6 + 2 2/9 →
5 7/18
All matched correctly!
Final Answer:
1 1/7 + 1 2/7 → 2 3/7
5 2/3 + 1 2/3 → 7 1/3
2 2/5 + 2 1/2 → 4 9/10
3 1/3 + 4 5/6 → 8 1/6
1 1/8 + 2 3/4 → 3 7/8
3 1/6 + 2 2/9 → 5 7/18
Parent Tip: Review the logic above to help your child master the concept of worksheet adding mixed numbers.
