Let’s solve each problem step by step. We’ll subtract mixed numbers by first making sure the fractions have the same denominator (common denominator), then subtracting the whole numbers and fractions separately. If needed, we’ll borrow from the whole number.
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1. 2⁴⁄ - 1⁴⁄₆
Step 1: Find common denominator for 9 and 6 → LCM is 18
Convert:
2⁴⁄₉ = 2⁸⁄₁₈
1⁴⁄₆ = 1¹²⁄₁₈
But 8/18 < 12/18 → need to borrow 1 from 2 → becomes 1 + 18/18 + 8/18 = 1²⁶⁄₁₈
Now subtract:
1²⁶⁄₁₈ - 1¹²⁄₁₈ = 0¹⁴⁄₁₈ =
7⁄9
✔ Final Answer:
7⁄9
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2. 9¹⁄₂ - 5¹⁄₄
Common denominator of 2 and 4 → 4
9¹⁄₂ = 9²⁄₄
5¹⁄₄ stays same
Subtract:
9²⁄₄ - 5¹⁄₄ = 4¹⁄₄
✔ Final Answer:
4¹⁄₄
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3. 7¹⁄₃ - 4¹⁄₆
Common denominator of 3 and 6 → 6
7¹⁄₃ = 7²⁄₆
4¹⁄₆ stays same
Subtract:
7²⁄₆ - 4¹⁄₆ = 3¹⁄₆
✔ Final Answer:
3¹⁄₆
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4. 7¹⁄₂ - 3⁵⁄₆
Common denominator of 2 and 6 → 6
7¹⁄₂ = 7³⁄₆
But 3/6 < 5/6 → borrow 1 from 7 → 6 + 6/6 + 3/6 = 6⁹⁄₆
Now subtract:
6⁹⁄₆ - 3⁵⁄₆ = 3⁴⁄ =
3²⁄
✔ Final Answer:
3²⁄₃
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5. 11³⁄₄ - 5¹⁄₄
Same denominator → easy!
11³⁄₄ - 5¹⁄₄ = 6²⁄₄ =
6¹⁄₂
✔ Final Answer:
6¹⁄₂
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6. 8²⁄₄ - 2³⁄₂₀
Simplify 2/4 → 1/2
So: 8¹⁄₂ - 2³⁄₂₀
Common denominator of 2 and 20 → 20
8¹⁄₂ = 8¹⁰⁄₂₀
2³⁄₂₀ stays same
Subtract:
8¹⁰⁄₂₀ - 2³⁄₂₀ = 6⁷⁄₂₀
✔ Final Answer:
6⁷⁄₂₀
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7. 12²⁄₃ - 4³⁄₆
Simplify 3/6 → 1/2
So: 12²⁄₃ - 4¹⁄₂
Common denominator of 3 and 2 → 6
12²⁄₃ = 12⁴⁄₆
4¹⁄₂ = 4³⁄₆
Subtract:
12⁴⁄ - 4³⁄ = 8¹⁄
✔ Final Answer:
8¹⁄₆
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8. 5²⁄₅ - 4¹⁄₆
Common denominator of 5 and 6 → 30
5²⁄₅ = 5¹²⁄₃₀
4¹⁄₆ = 4⁵⁄₃₀
Subtract:
5¹²⁄₃₀ - 4⁵⁄₃₀ = 1⁷⁄₀
✔ Final Answer:
1⁷⁄₃₀
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9. 6⁴⁄₅ - 3³⁄₈
Common denominator of 5 and 8 → 40
6⁴⁄₅ = 6³²⁄₄₀
3³⁄₈ = 3¹⁵⁄₄₀
Subtract:
6³²⁄₄₀ - 3¹⁵⁄₄₀ = 3¹⁷⁄₄₀
✔ Final Answer:
3¹⁷⁄₄₀
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10. 9²⁄₃ - 6¹⁄₁₁
Common denominator of 3 and 11 → 33
9²⁄₃ = 9²²⁄₃₃
6¹⁄₁₁ = 6³⁄₃₃
Subtract:
9²²⁄₃₃ - 6³⁄₃₃ = 3¹⁹⁄₃₃
✔ Final Answer:
3¹⁹⁄₃₃
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Final Answer:
1. 7⁄9
2. 4¹⁄₄
3. 3¹⁄₆
4. 3²⁄₃
5. 6¹⁄₂
6. 6⁷⁄₂₀
7. 8¹⁄₆
8. 1⁷⁄₃₀
9. 3¹⁷⁄₄₀
10. 3¹⁹⁄₃
Parent Tip: Review the logic above to help your child master the concept of add and subtract fractions and mixed numbers worksheet.
