It looks like you've uploaded an image of a completed worksheet titled
"Fractions to Decimals" with an
answer key. The task is to convert fractions into decimal numbers using division.
Let me go through the solutions and explain how each fraction is converted to a decimal:
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🔢 How to Convert Fractions to Decimals
To convert a fraction to a decimal, divide the
numerator by the
denominator:
$$
\text{Decimal} = \frac{\text{Numerator}}{\text{Denominator}}
$$
Many of these fractions are simple and can be solved using basic division or known decimal equivalents.
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✔ Solutions and Explanations
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Left Column:
1. $ \frac{1}{2} = 1 \div 2 = 0.5 $
→ Half of 1 is 0.5.
2. $ \frac{2}{4} = 2 \div 4 = 0.5 $
→ Simplify first: $ \frac{2}{4} = \frac{1}{2} $ → 0.5
3. $ \frac{1}{4} = 1 \div 4 = 0.25 $
→ One quarter is 0.25.
4. $ \frac{1}{5} = 1 \div 5 = 0.2 $
→ One fifth is 0.2.
5. $ \frac{2}{5} = 2 \div 5 = 0.4 $
→ Two fifths is 0.4.
6. $ \frac{3}{4} = 3 \div 4 = 0.75 $
→ Three quarters is 0.75.
7. $ \frac{3}{5} = 3 \div 5 = 0.6 $
→ Three fifths is 0.6.
8. $ \frac{1}{8} = 1 \div 8 = 0.125 $
→ One eighth is 0.125.
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####
Right Column:
1. $ \frac{1}{4} = 1 \div 4 = 0.25 $
→ Same as above.
2. $ \frac{2}{4} = 2 \div 4 = 0.5 $
→ Again, simplifies to $ \frac{1}{2} $.
3. $ \frac{2}{5} = 2 \div 5 = 0.4 $
→ Same as above.
4. $ \frac{1}{5} = 1 \div 5 = 0.2 $
→ One fifth.
5. $ \frac{1}{2} = 1 \div 2 = 0.5 $
→ Half.
6. $ \frac{3}{4} = 3 \div 4 = 0.75 $
→ Three quarters.
7. $ \frac{2}{8} = 2 \div 8 = 0.25 $
→ Simplify: $ \frac{2}{8} = \frac{1}{4} $ → 0.25.
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📌 Summary of Key Conversions:
| Fraction | Decimal |
|--------|--------|
| $ \frac{1}{2} $ | 0.5 |
| $ \frac{1}{4} $ | 0.25 |
| $ \frac{1}{5} $ | 0.2 |
| $ \frac{1}{8} $ | 0.125 |
| $ \frac{2}{5} $ | 0.4 |
| $ \frac{3}{4} $ | 0.75 |
| $ \frac{3}{5} $ | 0.6 |
These conversions are common and useful for understanding decimals in real-life contexts (like money, measurements, etc.).
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✔ Final Note:
The answer key provided in your image is
correct. All conversions follow proper division and simplification where needed.
If you have a specific question about any of the problems or need help understanding a particular step, feel free to ask!
Parent Tip: Review the logic above to help your child master the concept of converting decimals to fractions worksheet.
