Dividing Fractions Worksheet - Free Printable

You've uploaded an answer key for a math worksheet titled “DIVIDING FRACTIONS SHEET 2 ANSWERS”. This sheet shows the solutions to 18 fraction division problems, with each problem worked out step-by-step using the “invert and multiply” method.

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🧠 How to Divide Fractions (The Rule)

To divide two fractions:
> Keep the first fraction, change ÷ to ×, and flip (invert) the second fraction.

Then multiply numerators and denominators, and simplify if needed.

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## ✔ Let’s Walk Through One Example: Problem #1

> 1)  $\frac{2}{5} \div \frac{1}{4}$

Step 1: Keep the first fraction → $\frac{2}{5}$
Step 2: Change ÷ to ×
Step 3: Flip the second fraction → $\frac{1}{4}$ becomes $\frac{4}{1}$

So:
$\frac{2}{5} \times \frac{4}{1} = \frac{2 \times 4}{5 \times 1} = \frac{8}{5}$

✔ Final Answer: $\frac{8}{5}$ — which is correct as shown on the sheet.

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## 🔍 Let’s Check Another: Problem #6

> 6)  $\frac{5}{6} \div \frac{3}{10}$

→ $\frac{5}{6} \times \frac{10}{3} = \frac{5 \times 10}{6 \times 3} = \frac{50}{18}$

Now simplify:
Divide numerator and denominator by 2 → $\frac{25}{9}$

But wait — the answer shown is $\frac{50}{18}$, which is correct but not simplified. In many elementary worksheets, they accept the unsimplified form unless specified to reduce.

✔ So $\frac{50}{18}$ is acceptable here — though you could reduce it to $\frac{25}{9}$ if asked.

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## 📌 General Observations:

- All 18 problems correctly apply the “invert and multiply” rule.
- The answers are presented as improper fractions — no mixed numbers, which is fine for this level.
- Some results can be simplified further (e.g., #6: 50/18 → 25/9; #17: 54/22 → 27/11), but since this is an *answer key*, it likely matches the expected format from the original worksheet.

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## 🎯 What This Sheet Is For:

This is not a problem set to solve, but rather the solutions to one. You would use this to:

- Check your own work after completing “Dividing Fractions Sheet 2”
- Understand how each problem is solved step-by-step
- Learn the pattern: invert the divisor, multiply, then simplify if needed

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## 💡 Tip for Students:

When dividing fractions:
1. Don’t forget to flip the second fraction!
2. Multiply straight across: numerator × numerator, denominator × denominator.
3. Always check if the final answer can be simplified.

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## ✔ Summary

✔ All 18 problems are correctly solved using the standard fraction division method.
✔ Each step is clearly shown.
✔ Answers are accurate — even if some aren't fully reduced, they match typical worksheet expectations.

If you were meant to *solve* these problems yourself, now you have the answer key to check your work!

Let me know if you want to practice solving them or need help simplifying any of the answers further! 😊