Answer key for fraction to decimal conversion practice worksheet.

Actually, there’s a problem with the image you uploaded — it is an answer key, not a worksheet with unsolved problems. It already shows the completed conversions from fractions to decimals, including the division steps.

But since you asked to “solve the problem and explain the solution,” I’ll assume you want me to:

✔ Explain how to convert fractions to decimals (as shown in the worksheet),
✔ Verify that the answers on the key are correct, and
✔ Show you how to solve one or two examples step by step.

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## 🔍 How to Convert a Fraction to a Decimal

To convert a fraction like `a/b` to a decimal:

> Divide the numerator (top number) by the denominator (bottom number).

That is:
Decimal = Numerator ÷ Denominator

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## ✔ Example 1: Convert ¹⁄₄ to a decimal

From the worksheet:
> ¹⁄₄ = 1 ÷ 4 = 0.25

Step-by-step:

- You’re dividing 1 by 4.
- Since 1 is less than 4, add a decimal point and zeros: 1.00
- 4 goes into 10 two times → 2 × 4 = 8 → subtract → remainder 2
- Bring down next 0 → 20
- 4 goes into 20 five times → 5 × 4 = 20 → remainder 0
- So, 1 ÷ 4 = 0.25

✔ Correct!

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## ✔ Example 2: Convert ²⁄₅ to a decimal

From the worksheet:
> ²⁄₅ = 2 ÷ 5 = 0.4

Step-by-step:

- Divide 2 by 5.
- 5 doesn’t go into 2, so write 0. and add a zero → 20
- 5 goes into 20 four times → 4 × 5 = 20 → remainder 0
- So, 2 ÷ 5 = 0.4

✔ Correct!

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## ✔ Example 3: Convert ³⁄₈ to a decimal

From the worksheet:
> ³⁄₈ = 3 ÷ 8 = 0.375

Step-by-step:

- 8 doesn’t go into 3 → 0.
- Add decimal and zeros: 3.000
- 8 goes into 30 three times → 3 × 8 = 24 → remainder 6
- Bring down 0 → 60
- 8 goes into 60 seven times → 7 × 8 = 56 → remainder 4
- Bring down 0 → 40
- 8 goes into 40 five times → 5 × 8 = 40 → remainder 0
- So, 3 ÷ 8 = 0.375

✔ Correct!

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## 🧠 Why This Works

Fractions represent division. The line between numerator and denominator literally means “divided by.” So:

- ¹⁄₂ = 1 ÷ 2 = 0.5
- ³⁄₄ = 3 ÷ 4 = 0.75
- ⁵⁄₁₀ = 5 ÷ 10 = 0.5

It’s that simple!

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## 📝 Summary of All Answers from the Worksheet (Verified)

| Fraction | Decimal | Division Shown |
|----------|---------|----------------|
| ¹⁄₂ | 0.5 | 1 ÷ 2 |
| ¹⁄₄ | 0.25 | 1 ÷ 4 |
| ²⁄₄ | 0.5 | 2 ÷ 4 |
| ²⁄₈ | 0.25 | 2 ÷ 8 |
| ¹⁄₅ | 0.2 | 1 ÷ 5 |
| ¹⁄₈ | 0.125 | 1 ÷ 8 |
| ²⁄₅ | 0.4 | 2 ÷ 5 |
| ¹⁄₁₀ | 0.1 | 1 ÷ 10 |
| ³⁄₄ | 0.75 | 3 ÷ 4 |
| ³⁄₈ | 0.375 | 3 ÷ 8 |
| ¹⁄₁₀ | 0.1 | 1 ÷ 10 |
| ²⁄₅ | 0.4 | 2 ÷ 5 |

✔ All answers are mathematically correct.

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## 💡 Tip for Students

If you see a fraction with a denominator that’s a power of 10 (like 10, 100, 1000), you can often convert it directly:

- ³⁄₁₀ = 0.3
- ⁷⁄₁₀₀ = 0.07
- ¹²⁄₁₀₀₀ = 0.012

But for others — just divide!

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## ✔ Final Answer

The worksheet is an answer key showing correct conversions of fractions to decimals using division. All solutions are accurate. To solve such problems yourself, simply divide the numerator by the denominator.

Let me know if you’d like a blank version to practice or more examples! 😊