You’ve uploaded a worksheet titled
“Dividing Fractions & Whole Numbers MIXED Worksheet”, and it contains 15 problems of the form:
>
Whole Number ÷ Fraction
> or
>
Fraction ÷ Whole Number
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## 🧠 Key Concept: Dividing Fractions and Whole Numbers
To divide by a fraction, you
multiply by its reciprocal.
Also, remember:
- Any whole number can be written as a fraction with denominator 1.
Example: `3 = 3/1`
- The reciprocal of a fraction `a/b` is `b/a`.
So:
>
A ÷ (B/C) = A × (C/B)
>
(A/B) ÷ C = (A/B) × (1/C)
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Let’s solve each problem step-by-step.
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🔹 Problem 1: `1/2 ÷ 3`
→ `1/2 ÷ 3 = 1/2 × 1/3 = 1/6`
✔ Answer: `1/6`
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🔹 Problem 2: `6 ÷ 1/4`
→ `6 ÷ 1/4 = 6 × 4/1 = 24`
✔ Answer: `24`
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🔹 Problem 3: `1/3 ÷ 8`
→ `1/3 ÷ 8 = 1/3 × 1/8 = 1/24`
✔ Answer: `1/24`
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🔹 Problem 4: `7 ÷ 1/5`
→ `7 ÷ 1/5 = 7 × 5/1 = 35`
✔ Answer: `35`
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🔹 Problem 5: `4 ÷ 1/8`
→ `4 ÷ 1/8 = 4 × 8/1 = 32`
✔ Answer: `32`
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🔹 Problem 6: `1/3 ÷ 7`
→ `1/3 ÷ 7 = 1/3 × 1/7 = 1/21`
✔ Answer: `1/21`
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🔹 Problem 7: `1/4 ÷ 9`
→ `1/4 ÷ 9 = 1/4 × 1/9 = 1/36`
✔ Answer: `1/36`
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🔹 Problem 8: `8 ÷ 1/8`
→ `8 ÷ 1/8 = 8 × 8/1 = 64`
✔ Answer: `64`
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🔹 Problem 9: `1/7 ÷ 9`
→ `1/7 ÷ 9 = 1/7 × 1/9 = 1/63`
✔ Answer: `1/63`
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🔹 Problem 10: `1/5 ÷ 10`
→ `1/5 ÷ 10 = 1/5 × 1/10 = 1/50`
✔ Answer: `1/50`
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🔹 Problem 11: `12 ÷ 1/5`
→ `12 ÷ 1/5 = 12 × 5/1 = 60`
✔ Answer: `60`
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🔹 Problem 12: `11 ÷ 1/9`
→ `11 ÷ 1/9 = 11 × 9/1 = 99`
✔ Answer: `99`
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🔹 Problem 13: `1/8 ÷ 12`
→ `1/8 ÷ 12 = 1/8 × 1/12 = 1/96`
✔ Answer: `1/96`
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🔹 Problem 14: `13 ÷ 1/3`
→ `13 ÷ 1/3 = 13 × 3/1 = 39`
✔ Answer: `39`
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🔹 Problem 15: `1/6 ÷ 15`
→ `1/6 ÷ 15 = 1/6 × 1/15 = 1/90`
✔ Answer: `1/90`
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##
✔ Final Answers (Listed in Order):
1. `1/6`
2. `24`
3. `1/24`
4. `35`
5. `32`
6. `1/21`
7. `1/36`
8. `64`
9. `1/63`
10. `1/50`
11. `60`
12. `99`
13. `1/96`
14. `39`
15. `1/90`
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## 💡 Tip for Students:
When dividing by a fraction →
flip it and multiply!
When dividing a fraction by a whole number → treat the whole number as `whole/1`, then flip and multiply.
You got this! 😊📚
Parent Tip: Review the logic above to help your child master the concept of dividing whole numbers by fractions worksheet.
