Sure! Let’s solve each multiplication problem step by step. The instructions say:
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Multiply the numerators and multiply the denominators. Then simplify (reduce to lowest terms).
This is standard fraction multiplication:
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a/b × c/d = (a × c) / (b × d) — then simplify if possible.
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Let’s go one by one:
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1. ⁴⁄₅ × ⁴⁄₅
→ Numerator: 4 × 4 = 16
→ Denominator: 5 × 5 = 25
→ Fraction: ¹⁶⁄₂₅ → Already simplified.
✔ Answer: ¹⁶⁄₂₅
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2. ²⁄₈ × ⁶⁄₈
→ Numerator: 2 × 6 = 12
→ Denominator: 8 × 8 = 64
→ Fraction: ¹²⁄₆₄ → Simplify by dividing numerator and denominator by 4:
→ ¹²÷⁴⁄₆₄÷⁴ = ³⁄₁₆
✔ Answer: ³⁄₁₆
*(Note: You could also simplify before multiplying: ²⁄₈ = ¹⁄₄, ⁶⁄₈ = ³⁄₄ → ¹⁄₄ × ³⁄₄ = ³⁄₁₆ — same result!)*
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3. ⁵⁄₆ × ¹⁄₆
→ Numerator: 5 × 1 = 5
→ Denominator: 6 × 6 = 36
→ Fraction: ⁵⁄₃₆ → Already simplified.
✔ Answer: ⁵⁄₃₆
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4. ²⁄₆ × ³⁄₆
→ Numerator: 2 × 3 = 6
→ Denominator: 6 × 6 = 36
→ Fraction: ⁶⁄₃₆ → Simplify by dividing by 6: ¹⁄₆
✔ Answer: ¹⁄₆
*(Or simplify first: ²⁄₆ = ¹⁄₃, ³⁄₆ = ¹⁄₂ → ¹⁄₃ × ¹⁄₂ = ¹⁄₆)*
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5. ²⁄₈ × ⁷⁄₈
→ Numerator: 2 × 7 = 14
→ Denominator: 8 × 8 = 64
→ Fraction: ¹⁴⁄₆₄ → Simplify by dividing by 2: ⁷⁄₃₂
✔ Answer: ⁷⁄₃₂
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6. ⁴⁄₆ × ⁵⁄₆
→ Numerator: 4 × 5 = 20
→ Denominator: 6 × 6 = 36
→ Fraction: ²⁰⁄₃₆ → Simplify by dividing by 4: ⁵⁄₉
✔ Answer: ⁵⁄₉
*(Simplify first: ⁴⁄₆ = ²⁄₃, ⁵⁄₆ stays → ²⁄₃ × ⁵⁄₆ = ¹⁰⁄₁₈ = ⁵⁄₉)*
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7. ²⁄₃ × ²⁄₃
→ Numerator: 2 × 2 = 4
→ Denominator: 3 × 3 = 9
→ Fraction: ⁴⁄₉ → Already simplified.
✔ Answer: ⁴⁄₉
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8. ⁵⁄₈ × ⁵⁄₈
→ Numerator: 5 × 5 = 25
→ Denominator: 8 × 8 = 64
→ Fraction: ²⁵⁄₆₄ → Already simplified.
✔ Answer: ²⁵⁄₆₄
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9. ³⁄₄ × ³⁄₄
→ Numerator: 3 × 3 = 9
→ Denominator: 4 × 4 = 16
→ Fraction: ⁹⁄₁₆ → Already simplified.
✔ Answer: ⁹⁄₁₆
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10. ⁵⁄₈ × ³⁄₈
→ Numerator: 5 × 3 = 15
→ Denominator: 8 × 8 = 64
→ Fraction: ¹⁵⁄₆₄ → Already simplified.
✔ Answer: ¹⁵⁄₆₄
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11. ²⁄₃ × ¹⁄₃
→ Numerator: 2 × 1 = 2
→ Denominator: 3 × 3 = 9
→ Fraction: ²⁄₉ → Already simplified.
✔ Answer: ²⁄₉
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12. ¹⁄₄ × ¹⁄₄
→ Numerator: 1 × 1 = 1
→ Denominator: 4 × 4 = 16
→ Fraction: ¹⁄₁₆ → Already simplified.
✔ Answer: ¹⁄₁₆
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13. ¹⁄₃ × ²⁄₃
→ Numerator: 1 × 2 = 2
→ Denominator: 3 × 3 = 9
→ Fraction: ²⁄₉ → Already simplified.
✔ Answer: ²⁄₉
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14. ³⁄₅ × ⁴⁄₅
→ Numerator: 3 × 4 = 12
→ Denominator: 5 × 5 = 25
→ Fraction: ¹²⁄₂₅ → Already simplified.
✔ Answer: ¹²⁄₂₅
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✔ Final Answers Summary:
1. ¹⁶⁄₂₅
2. ³⁄₁₆
3. ⁵⁄₃₆
4. ¹⁄₆
5. ⁷⁄₃₂
6. ⁵⁄₉
7. ⁴⁄₉
8. ²⁵⁄₆₄
9. ⁹⁄₁₆
10. ¹⁵⁄₆₄
11. ²⁄₉
12. ¹⁄₁₆
13. ²⁄₉
14. ¹²⁄₂₅
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📌
Tip for students: Always check if you can simplify fractions *before* multiplying — it makes the numbers smaller and easier to work with!
Let me know if you’d like a printable version or want to see the steps in a different format!
Parent Tip: Review the logic above to help your child master the concept of multiplying fractions worksheets pdf.
