Let’s solve each problem one by one. We’ll add or subtract the whole numbers first, then handle the fractions. If needed, we’ll find a common denominator for the fractions.
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Problem 1: 2 2/3 + 4 1/6
Step 1: Add whole numbers → 2 + 4 = 6
Step 2: Add fractions → 2/3 + 1/6
→ Common denominator of 3 and 6 is 6
→ 2/3 = 4/6
→ 4/6 + 1/6 = 5/6
Step 3: Combine → 6 + 5/6 =
6 5/6
✔ Check: 2 2/3 is about 2.67, 4 1/6 is about 4.17 → sum ≈ 6.83 → 6 5/6 = 6.83 ✔️
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Problem 2: 6 2/5 + 2 3/10
Step 1: Whole numbers → 6 + 2 = 8
Step 2: Fractions → 2/5 + 3/10
→ Common denominator of 5 and 10 is 10
→ 2/5 = 4/10
→ 4/10 + 3/10 = 7/10
Step 3: Combine → 8 + 7/10 =
8 7/10
✔ Check: 6 2/5 = 6.4, 2 3/10 = 2.3 → sum = 8.7 → 8 7/10 = 8.7 ✔️
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Problem 3: 5 2/7 + 4 3/14
Step 1: Whole numbers → 5 + 4 = 9
Step 2: Fractions → 2/7 + 3/14
→ Common denominator of 7 and 14 is 14
→ 2/7 = 4/14
→ 4/14 + 3/14 = 7/14 = 1/2
Step 3: Combine → 9 + 1/2 =
9 1/2
✔ Check: 5 2/7 ≈ 5.286, 4 3/14 ≈ 4.214 → sum ≈ 9.5 → 9 1/2 = 9.5 ✔️
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Problem 4: 8 3/4 - 6 2/12
First, simplify 2/12 → 1/6
So now: 8 3/4 - 6 1/6
Step 1: Whole numbers → 8 - 6 = 2
Step 2: Fractions → 3/4 - 1/6
→ Common denominator of 4 and 6 is 12
→ 3/4 = 9/12, 1/6 = 2/12
→ 9/12 - 2/12 = 7/12
Step 3: Combine → 2 + 7/12 =
2 7/12
✔ Check: 8 3/4 = 8.75, 6 2/12 = 6.166... → difference ≈ 2.583 → 2 7/12 ≈ 2.583 ✔️
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Problem 5: 10 4/5 - 5 4/15
Step 1: Whole numbers → 10 - 5 = 5
Step 2: Fractions → 4/5 - 4/15
→ Common denominator of 5 and 15 is 15
→ 4/5 = 12/15
→ 12/15 - 4/15 = 8/15
Step 3: Combine → 5 + 8/15 =
5 8/15
✔ Check: 10 4/5 = 10.8, 5 4/15 ≈ 5.266... → difference ≈ 5.533 → 5 8/15 ≈ 5.533 ✔️
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Final Answer:
1) 6 5/6
2) 8 7/10
3) 9 1/2
4) 2 7/12
5) 5 8/15
Parent Tip: Review the logic above to help your child master the concept of add and subtract fractions and mixed numbers worksheet.
