Dividing Fractions worksheet with 18 problems and a self-assessment section.

You’ve uploaded a worksheet titled “DIVIDING FRACTIONS” with 18 problems. The instructions say:

> *Solve these fraction divisions. Your answer should be expressed in its simplest form, but it can be left as an improper fraction.*

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📌 Key Concept: Dividing Fractions

To divide two fractions, you multiply the first fraction by the reciprocal (flip) of the second fraction.

That is:
> a/b ÷ c/d = a/b × d/c

Then simplify the result if possible.

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Let’s solve each problem step-by-step.

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✔ Problem 1:

2/3 ÷ 1/5 = ?

→ Multiply by reciprocal:
2/3 × 5/1 = 10/3

✔ Already simplified → 10/3

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✔ Problem 2:

3/8 ÷ 2/7 = ?

→ 3/8 × 7/2 = 21/16

✔ Simplified → 21/16

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✔ Problem 3:

3/2 ÷ 4/9 = ?

→ 3/2 × 9/4 = 27/8

✔ Simplified → 27/8

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✔ Problem 4:

2/7 ÷ 5/3 = ?

→ 2/7 × 3/5 = 6/35

✔ Simplified → 6/35

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✔ Problem 5:

5/8 ÷ 3/7 = ?

→ 5/8 × 7/3 = 35/24

✔ Simplified → 35/24

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✔ Problem 6:

1/6 ÷ 4/15 = ?

→ 1/6 × 15/4 = 15/24

→ Simplify: Divide numerator and denominator by 3 → 5/8

✔ Final Answer: 5/8

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✔ Problem 7:

3/5 ÷ 10/4 = ?

→ First, simplify 10/4 to 5/2 (optional but helpful)

→ 3/5 ÷ 5/2 = 3/5 × 2/5 = 6/25

✔ Final Answer: 6/25

*(Alternatively: 3/5 × 4/10 = 12/50 = 6/25 — same result)*

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✔ Problem 8:

5/7 ÷ 8/3 = ?

→ 5/7 × 3/8 = 15/56

✔ Simplified → 15/56

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✔ Problem 9:

4/11 ÷ 2/9 = ?

→ 4/11 × 9/2 = 36/22

→ Simplify: Divide by 2 → 18/11

✔ Final Answer: 18/11

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✔ Problem 10:

7/4 ÷ 5/12 = ?

→ 7/4 × 12/5 = 84/20

→ Simplify: Divide by 4 → 21/5

✔ Final Answer: 21/5

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✔ Problem 11:

6/15 ÷ 3/10 = ?

→ Simplify 6/15 to 2/5 first → 2/5 ÷ 3/10 = 2/5 × 10/3 = 20/15

→ Simplify: Divide by 5 → 4/3

✔ Final Answer: 4/3

*(Alternatively: 6/15 × 10/3 = 60/45 = 4/3)*

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✔ Problem 12:

7/9 ÷ 8/5 = ?

→ 7/9 × 5/8 = 35/72

✔ Simplified → 35/72

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✔ Problem 13:

2/15 ÷ 4/7 = ?

→ 2/15 × 7/4 = 14/60

→ Simplify: Divide by 2 → 7/30

✔ Final Answer: 7/30

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✔ Problem 14:

5/12 ÷ 3/8 = ?

→ 5/12 × 8/3 = 40/36

→ Simplify: Divide by 4 → 10/9

✔ Final Answer: 10/9

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✔ Problem 15:

3/5 ÷ 12/7 = ?

→ 3/5 × 7/12 = 21/60

→ Simplify: Divide by 3 → 7/20

✔ Final Answer: 7/20

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✔ Problem 16:

7/10 ÷ 5/12 = ?

→ 7/10 × 12/5 = 84/50

→ Simplify: Divide by 2 → 42/25

✔ Final Answer: 42/25

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✔ Problem 17:

10/11 ÷ 5/8 = ?

→ 10/11 × 8/5 = 80/55

→ Simplify: Divide by 5 → 16/11

✔ Final Answer: 16/11

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✔ Problem 18:

4/13 ÷ 5/24 = ?

→ 4/13 × 24/5 = 96/65

✔ Already simplified → 96/65

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## 🎯 Final Answers Summary:

| Problem | Answer |
|---------|----------|
| 1 | 10/3 |
| 2 | 21/16 |
| 3 | 27/8 |
| 4 | 6/35 |
| 5 | 35/24 |
| 6 | 5/8 |
| 7 | 6/25 |
| 8 | 15/56 |
| 9 | 18/11 |
| 10 | 21/5 |
| 11 | 4/3 |
| 12 | 35/72 |
| 13 | 7/30 |
| 14 | 10/9 |
| 15 | 7/20 |
| 16 | 42/25 |
| 17 | 16/11 |
| 18 | 96/65 |

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## 💡 Tip for Students:

Always remember:
“Keep, Change, Flip”
→ Keep the first fraction
→ Change the division to multiplication
→ Flip the second fraction (reciprocal)

Then multiply straight across, and simplify at the end!

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Let me know if you’d like this as a printable answer key or want to check your own work against these! 😊