Let’s solve each subtraction problem step by step. We’re subtracting mixed numbers (whole number + fraction). To do this, we’ll:
1. Make sure the fractions have the same denominator (bottom number).
2. If needed, borrow from the whole number to make the top fraction bigger.
3. Subtract the fractions, then subtract the whole numbers.
4. Simplify if possible.
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Problem 1:
6 ¹⁄₄ – 4 ¹⁄₂
→ Convert ¹⁄₂ to ²⁄₄ so denominators match.
→ 6 ¹⁄₄ – 4 ²⁄₄
→ Can’t subtract ²⁄₄ from ¹⁄₄ → Borrow 1 from 6 → becomes 5 and ⁵⁄₄
→ 5 ⁵⁄₄ – 4 ²⁄₄ = (5–4) and (⁵⁄ – ²⁄₄) = 1 ³⁄₄
✔ Answer: 1 ³⁄₄
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Problem 2:
9 ¹⁄₂ – 1 ¹⁄₄
→ Convert ¹⁄₂ to ²⁄₄
→ 9 ²⁄₄ – 1 ¹⁄₄ = (9–1) and (²⁄₄ – ¹⁄₄) = 8 ¹⁄₄
✔ Answer: 8 ¹⁄₄
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Problem 3:
11 ³⁄₄ – 7 ¹⁄₄
→ Same denominator → subtract directly
→ (11–7) and (³⁄₄ – ¹⁄₄) = 4 ²⁄₄ = 4 ¹⁄₂
✔ Answer: 4 ¹⁄₂
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Problem 4:
7 ¹⁄₄ – 5 ⁵⁄₁₆
→ Convert ¹⁄₄ to ⁄₁₆
→ 7 ⁴⁄₁₆ – 5 ⁵⁄₁₆
→ Can’t subtract ⁵⁄₁₆ from ⁴⁄₁₆ → Borrow 1 from 7 → becomes 6 and ²⁰⁄₁₆
→ 6 ²⁰⁄₁₆ – 5 ⁵⁄₁₆ = (6–5) and (²⁰⁄₁₆ – ⁵⁄₁₆) = 1 ¹⁵⁄₁₆
✔ Answer: 1 ¹⁵⁄₁₆
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Problem 5:
7 ¹⁄₂ – 5 ³⁄₈
→ Convert ¹⁄₂ to ⁴⁄₈
→ 7 ⁴⁄ – 5 ³⁄₈ = (7–5) and (⁴⁄₈ – ³⁄₈) = 2 ¹⁄₈
✔ Answer: 2 ¹⁄₈
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Problem 6:
7 ⁹⁄₁₆ – 3 ³⁄₄
→ Convert ³⁄₄ to ¹²⁄₁₆
→ 7 ⁹⁄₁₆ – 3 ¹²⁄₁₆
→ Can’t subtract ¹²⁄₁₆ from ⁹⁄₁₆ → Borrow 1 from 7 → becomes 6 and ²⁵⁄₁₆
→ 6 ²⁵⁄₁₆ – 3 ¹²⁄₁₆ = (6–3) and (²⁵⁄₁₆ – ¹²⁄₁₆) = 3 ¹³⁄₁₆
✔ Answer: 3 ¹³⁄₁₆
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Problem 7:
5 ¹³⁄₁₆ – 2 ¹⁄₈
→ Convert ¹⁄₈ to ²⁄₁₆
→ 5 ¹³⁄₁₆ – 2 ²⁄₁₆ = (5–2) and (¹³⁄₁₆ – ²⁄₁₆) = 3 ¹¹⁄₁₆
✔ Answer: 3 ¹¹⁄₁₆
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Problem 8:
4 ³⁄₈ – 2 ¹⁄₂
→ Convert ¹⁄₂ to ⁴⁄₈
→ 4 ³⁄₈ – 2 ⁴⁄₈
→ Can’t subtract ⁴⁄ from ³⁄₈ → Borrow 1 from 4 → becomes 3 and ¹¹⁄₈
→ 3 ¹¹⁄₈ – 2 ⁴⁄₈ = (3–2) and (¹¹⁄₈ – ⁄₈) = 1 ⁷⁄₈
✔ Answer: 1 ⁷⁄₈
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Problem 9:
7 ³⁄₁₆ – 5 ⁵⁄₈
→ Convert ⁵⁄₈ to ¹⁰⁄₁₆
→ 7 ³⁄₁₆ – 5 ¹⁰⁄₁₆
→ Can’t subtract ¹⁰⁄₁₆ from ³⁄₁₆ → Borrow 1 from 7 → becomes 6 and ¹⁹⁄₁₆
→ 6 ¹⁹⁄₁₆ – 5 ¹⁰⁄₁₆ = (6–5) and (¹⁹⁄₁₆ – ¹⁰⁄₁₆) = 1 ⁹⁄₁₆
✔ Answer: 1 ⁹⁄₁₆
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Problem 10:
11 ¹⁄₂ – 5 ¹⁄₂
→ Same fraction → subtract directly
→ (11–5) and (¹⁄₂ – ¹⁄₂) = 6 ⁰₂ = 6
✔ Answer: 6
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Final Answer:
1) 1 ³⁄₄
2) 8 ¹⁄₄
3) 4 ¹⁄₂
4) 1 ¹⁵⁄₁₆
5) 2 ¹⁄₈
6) 3 ¹³⁄₁₆
7) 3 ¹¹⁄₁₆
8) 1 ⁷⁄₈
9) 1 ⁹⁄₁₆
10) 6
Parent Tip: Review the logic above to help your child master the concept of 7th grade math worksheet fractions.
