Absolutely! Let’s solve each of these mixed number addition problems step by step. The key is to:
1.
Add the whole numbers together.
2.
Add the fractions — but first, make sure they have a
common denominator.
3. If the fraction part is an
improper fraction (numerator ≥ denominator), convert it to a mixed number and
add the whole number part to your total.
4. Simplify the final fraction if needed.
---
Let’s go one by one:
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Problem 2: `4 2/5 + 6 2/4`
First, simplify `2/4` → `1/2`
So we have:
4 2/5 + 6 1/2
- Whole numbers: 4 + 6 =
10
- Fractions: `2/5 + 1/2`
Find common denominator → LCM of 5 and 2 is
10
→ `2/5 = 4/10`, `1/2 = 5/10`
→ `4/10 + 5/10 = 9/10`
✔ Final answer:
10 9/10
---
Problem 3: `3 1/4 + 4 2/5`
- Whole numbers: 3 + 4 =
7
- Fractions: `1/4 + 2/5`
Common denominator → LCM of 4 and 5 is
20
→ `1/4 = 5/20`, `2/5 = 8/20`
→ `5/20 + 8/20 = 13/20`
✔ Final answer:
7 13/20
---
Problem 4: `4 2/3 + 7 1/2`
- Whole numbers: 4 + 7 =
11
- Fractions: `2/3 + 1/2`
Common denominator → LCM of 3 and 2 is
6
→ `2/3 = 4/6`, `1/2 = 3/6`
→ `4/6 + 3/6 = 7/6`
Now, `7/6` is improper → convert to mixed number:
1 1/6
Add that 1 to the whole number: 11 + 1 =
12
✔ Final answer:
12 1/6
---
Problem 5: `5 4/5 + 4 1/2`
- Whole numbers: 5 + 4 =
9
- Fractions: `4/5 + 1/2`
Common denominator → LCM of 5 and 2 is
10
→ `4/5 = 8/10`, `1/2 = 5/10`
→ `8/10 + 5/10 = 13/10`
Convert `13/10` →
1 3/10
Add 1 to whole number: 9 + 1 =
10
✔ Final answer:
10 3/10
---
Problem 6: `1 2/3 + 5 3/4`
- Whole numbers: 1 + 5 =
6
- Fractions: `2/3 + 3/4`
Common denominator → LCM of 3 and 4 is
12
→ `2/3 = 8/12`, `3/4 = 9/12`
→ `8/12 + 9/12 = 17/12`
Convert `17/12` →
1 5/12
Add 1 to whole number: 6 + 1 =
7
✔ Final answer:
7 5/12
---
Problem 7: `3 1/2 + 5 2/3`
- Whole numbers: 3 + 5 =
8
- Fractions: `1/2 + 2/3`
Common denominator → LCM of 2 and 3 is
6
→ `1/2 = 3/6`, `2/3 = 4/6`
→ `3/6 + 4/6 = 7/6`
Convert `7/6` →
1 1/6
Add 1 to whole number: 8 + 1 =
9
✔ Final answer:
9 1/6
---
Problem 8: `6 2/5 + 4 1/4`
- Whole numbers: 6 + 4 =
10
- Fractions: `2/5 + 1/4`
Common denominator → LCM of 5 and 4 is
20
→ `2/5 = 8/20`, `1/4 = 5/20`
→ `8/20 + 5/20 = 13/20`
✔ Final answer:
10 13/20
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##
✔ Final Answers:
2.
10 9/10
3.
7 13/20
4.
12 1/6
5.
10 3/10
6.
7 5/12
7.
9 1/6
8.
10 13/20
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Let me know if you’d like to see this explained with visuals or diagrams! 😊
Parent Tip: Review the logic above to help your child master the concept of mixed fraction addition worksheet.