Let’s solve each problem one by one, using the visual models and math.
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**Problem 1:
1¼ + 1⅔ = ?**
Wait — actually, looking at the image again (though we’re not describing it), the second fraction is written as 1²⁄₄, which simplifies to 1½. But let’s stick with denominators of 4 for now.
So:
1¼ + 1²⁄₄
Add whole numbers: 1 + 1 = 2
Add fractions: ¼ + ²⁄₄ = ³⁄₄
Total:
2¾
✔ Check: Visuals show two full circles and three-quarters shaded → matches.
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**Problem 2:
2¾ - 1¼ = ?**
Subtract whole numbers: 2 - 1 = 1
Subtract fractions: ¾ - ¼ = ²⁄₄ = ½
Total:
1½
✔ Check: Models show removing parts — leaves one full bar and half another → correct.
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**Problem 3:
2³⁄₆ + 1²⁄₆ = ?**
First, simplify fractions if needed later, but add first.
Whole numbers: 2 + 1 = 3
Fractions: ³⁄₆ + ²⁄₆ = ⁵⁄
Total:
3⁵⁄₆
Note: ³⁄₆ is same as ½, and ²⁄₆ is same as ⅓, but since denominator is same, we keep as is.
✔ Check: Green blocks — total shaded adds up to 3 full grids plus 5 out of 6 → correct.
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**Problem 4:
2⁶⁄₈ - ⁴⁄₈ = ?**
This is a mixed number minus a proper fraction.
Write 2⁶⁄ as 2 + ⁶⁄
Subtract ⁄₈: ⁶⁄ - ⁴₈ = ²⁄₈ = ¼
So answer is
2¼
Alternatively, you can think: take away 4 eighths from 6 eighths → left with 2 eighths → simplify to ¼ → still have the 2 wholes.
✔ Check: Circles — start with 2 full and 6/8, remove 4/8 → left with 2 and 2/8 → reduces to 2¼ → correct.
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**Problem 5:
2⁷⁄₁₀ - 1⁷⁄₁₀ = ?**
Same denominator, easy!
Whole numbers: 2 - 1 = 1
Fractions: ⁷⁄₁₀ - ⁷⁄₁₀ = 0
Total:
1
✔ Check: Grids — subtract identical fractional parts, only whole numbers differ → 1 remains → correct.
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Final Answers:
1. 2¾
2. 1½
3. 3⁵⁄₆
4. 2¼
5. 1
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Final Answer:
2¾, 1½, 3⁵⁄, 2¼, 1
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting mixed numbers worksheet.
