Subtracting Fractions (with Regrouping) Worksheet Download - Free Printable

Let’s solve each problem step by step. Remember: when subtracting mixed numbers, if the top fraction is smaller than the bottom one, we need to regroup (borrow 1 from the whole number and turn it into a fraction with the same denominator).

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Problem 1:
5 ¹⁄₄ – 2 ³⁄
→ The fractions: ¹⁄ < ³⁄ → Need to regroup.
→ Borrow 1 from 5 → becomes 4, and add ⁴⁄ to ¹⁄ → ⁵⁄
→ Now: 4⁵⁄₄ – 2 ³⁄₄ = (4–2) + (⁵⁄₄ – ³⁄₄) = 2 + ²⁄₄ = 2 ¹⁄₂
✔ Final Answer: 2 ¹⁄₂

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Problem 2:
2 ²⁄₄ – 1 ³⁄₄
→ ²⁄₄ < ³⁄₄ → Regroup.
→ Borrow 1 from 2 → becomes 1, add ⁴⁄ to ²⁄₄ → ⁶⁄₄
→ Now: 1 ⁶⁄₄ – 1 ³⁄₄ = (1–1) + (⁶⁄ – ³⁄₄) = 0 + ³⁄₄ = ³⁄₄
✔ Final Answer: ³⁄₄

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Problem 3:
3 ⁴₈ – 1 ⁷⁄₈
→ ⁴⁄₈ < ⁷⁄₈ → Regroup.
→ Borrow 1 from 3 → becomes 2, add ⁸⁄ to ⁴⁄ → ¹²⁄₈
→ Now: 2 ¹²⁄₈ – 1 ⁷₈ = (2–1) + (¹²⁄₈ – ⁄₈) = 1 + ⁵⁄ = 1 ⁵⁄₈
✔ Final Answer: 1 ⁵₈

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Problem 4:
4 ¹⁄₈ – 2 ²⁄₈
→ ¹⁄₈ < ²⁄₈ → Regroup.
→ Borrow 1 from 4 → becomes 3, add ⁸⁄₈ to ¹⁄₈ → ⁹⁄₈
→ Now: 3 ⁹⁄ – 2 ²₈ = (3–2) + (⁹⁄ – ²⁄₈) = 1 + ⁷⁄₈ = 1 ⁷⁄₈
✔ Final Answer: 1 ⁷₈

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Problem 5:
9 ¹⁄₉ – 7 ⁴⁄₉
→ ¹⁄₉ < ⁄₉ → Regroup.
→ Borrow 1 from 9 → becomes 8, add ⁹⁄₉ to ¹⁄₉ → ¹⁰⁄₉
→ Now: 8 ¹⁰⁄ – 7 ⁴⁄₉ = (8–7) + (¹⁰⁄₉ – ⁴⁄₉) = 1 + ⁶⁄₉ = 1 ²⁄₃ (simplify ⁶⁄₉)
✔ Final Answer: 1 ²⁄₃

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Problem 6:
2 ²⁄₅ – 1 ⁴⁄
→ ²⁄ < ⁴⁄ → Regroup.
→ Borrow 1 from 2 → becomes 1, add ⁵⁄₅ to ²⁄₅ → ⁄₅
→ Now: 1 ⁷₅ – 1 ⁴⁄₅ = (1–1) + (⁷⁄₅ – ⁴⁄₅) = 0 + ³⁄₅ = ³⁄₅
✔ Final Answer: ³⁄₅

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Problem 7:
2 ²⁄₉ – 1 ³⁄₉
→ ²⁄₉ < ³⁄₉ → Regroup.
→ Borrow 1 from 2 → becomes 1, add ⁹⁄ to ²⁄₉ → ¹¹⁄₉
→ Now: 1 ¹¹₉ – 1 ³⁄₉ = (1–1) + (¹¹⁄₉ – ³⁄₉) = 0 + ⁸⁄₉ = ⁸⁄₉
✔ Final Answer: ⁸⁄₉

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Problem 8:
9 ¹⁄₈ – 2 ⁴⁄
→ ¹⁄ < ⁴⁄ → Regroup.
→ Borrow 1 from 9 → becomes 8, add ⁸⁄₈ to ¹⁄₈ → ⁄₈
→ Now: 8 ⁹⁄ – 2 ⁴⁄₈ = (8–2) + (⁹⁄₈ – ⁴⁄₈) = 6 + ⁵⁄₈ = 6 ⁵₈
✔ Final Answer: 6 ⁵⁄₈

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Problem 9:
3 ³⁄₆ – 1 ⁵⁄₆
→ ³⁄₆ < ⁵⁄₆ → Regroup.
→ Borrow 1 from 3 → becomes 2, add ⁶⁄₆ to ³⁄₆ → ⁹⁄₆
→ Now: 2 ⁹⁄₆ – 1 ⁵⁄₆ = (2–1) + (⁹⁄₆ – ⁵⁄₆) = 1 + ⁴⁄₆ = 1 ²⁄₃ (simplify ⁴⁄₆)
✔ Final Answer: 1 ²⁄₃

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Problem 10:
8 ¹⁄₅ – 1 ³⁄₅
→ ¹⁄₅ < ³⁄₅ → Regroup.
→ Borrow 1 from 8 → becomes 7, add ⁵⁄₅ to ¹⁄₅ → ⁄₅
→ Now: 7 ⁶₅ – 1 ³⁄₅ = (7–1) + (⁶⁄₅ – ³⁄₅) = 6 + ³⁄₅ = 6 ³⁄₅
✔ Final Answer: 6 ³⁄₅

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Problem 11:
2 ¹⁄₈ – 1 ³⁄₈
→ ¹⁄₈ < ³⁄₈ → Regroup.
→ Borrow 1 from 2 → becomes 1, add ⁸⁄₈ to ¹⁄₈ → ⁄₈
→ Now: 1 ⁹₈ – 1 ³⁄₈ = (1–1) + (⁹⁄ – ³⁄₈) = 0 + ⁶⁄₈ = ³⁄₄ (simplify ⁶⁄₈)
✔ Final Answer: ³⁄₄

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Problem 12:
9 ¹⁄₉ – 7 ²⁄₉
→ ¹⁄₉ < ²⁄₉ → Regroup.
→ Borrow 1 from 9 → becomes 8, add ⁹⁄₉ to ¹⁄₉ → ¹⁰⁄₉
→ Now: 8 ¹⁰⁄₉ – 7 ²⁄₉ = (8–7) + (¹⁰⁄₉ – ²⁄₉) = 1 + ⁸⁄₉ = 1 ⁸⁄
✔ Final Answer: 1 ⁸⁄₉

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Problem 13:
3 ¹⁄₅ – 2 ²⁄₅
→ ¹⁄₅ < ²⁄₅ → Regroup.
→ Borrow 1 from 3 → becomes 2, add ⁵⁄₅ to ¹⁄₅ → ⁄₅
→ Now: 2 ⁶₅ – 2 ²⁄₅ = (2–2) + (⁶⁄₅ – ²⁄₅) = 0 + ⁴⁄₅ = ⁴⁄₅
✔ Final Answer: ⁴⁄₅

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Problem 14:
4 ¹⁄₅ – 3 ³⁄₅
→ ¹⁄₅ < ³⁄₅ → Regroup.
→ Borrow 1 from 4 → becomes 3, add ⁵⁄₅ to ¹⁄₅ → ⁶⁄₅
→ Now: 3 ⁶⁄₅ – 3 ³⁄₅ = (3–3) + (⁶⁄₅ – ³⁄₅) = 0 + ³⁄₅ = ³⁄₅
✔ Final Answer: ³⁄₅

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Final Answer:
1. 2 ¹⁄₂
2. ³⁄₄
3. 1 ⁵⁄₈
4. 1 ⁷₈
5. 1 ²⁄₃
6. ³⁄₅
7. ⁸⁄₉
8. 6 ⁵₈
9. 1 ²⁄₃
10. 6 ³⁄₅
11. ³⁄₄
12. 1 ⁸⁄₉
13. ⁴⁄₅
14. ³⁄₅