Actually,
this image is not a problem to solve — it’s the answer key for a worksheet titled “Converting Fractions to Decimals (A)”.
The worksheet asks students to convert fractions into decimal form. The red numbers shown next to each fraction are the correct decimal equivalents.
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✔ What You’re Looking At:
This is the
solutions page. It shows:
- Each fraction on the left and right columns.
- The corresponding decimal answer written in red next to it.
- Some decimals are repeating (like 0.6̅ for 4/6), indicated with a bar over the repeating digit.
- Others are terminating (like 0.125 for 1/8).
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📝 Example Conversions Explained:
Let’s walk through a few to show how you’d get those answers:
#### 1. `4/6 = 0.6̅`
- Divide 4 by 6:
`4 ÷ 6 = 0.666...` → repeating 6 → written as `0.6̅`
#### 2. `1/8 = 0.125`
- Divide 1 by 8:
`1 ÷ 8 = 0.125` → exact decimal, no repetition.
#### 3. `11/12 = 0.916̅`
- `11 ÷ 12 = 0.91666...` → repeating 6 → written as `0.916̅`
#### 4. `14/20 = 0.7`
- Simplify first: `14/20 = 7/10`
- `7 ÷ 10 = 0.7`
#### 5. `5/7 = 0.714285̅` (repeating every 6 digits)
- `5 ÷ 7 = 0.714285714285...` → repeats “714285” → often written as `0.714285̅`
> Note: In the image, it's written as `0.714285` without a bar, but technically it should have a bar over the entire repeating block or be noted as repeating.
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💡 How to Convert Any Fraction to Decimal:
To convert a fraction to a decimal,
divide the numerator by the denominator.
Example: Convert `3/5` → `3 ÷ 5 = 0.6`
If the division doesn’t end (like 1/3 = 0.333...), it’s a
repeating decimal, and you write a bar over the repeating part.
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❗ Important Note:
Some answers in the image might be slightly misleading or abbreviated:
- For `5/7`, it says `0.714285` — this is only the first 6 digits; the full decimal is repeating: `0.714285714285...`
- Similarly, `2/7 = 0.285714` — again, this is just the first 6 digits of a repeating cycle.
In proper notation, these should have a bar over the repeating sequence.
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✔ Summary:
You don’t need to “solve” this image — it’s already solved! It’s the
answer sheet for a math worksheet. If you were assigned the worksheet, you can use this to check your work.
If you want to practice converting fractions to decimals yourself, pick any fraction from the list and divide numerator by denominator — then compare your result to the red answer here!
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📌
Final Tip: Always simplify fractions before converting if possible — it makes division easier!
Example: `16/20` → simplify to `4/5` → `4 ÷ 5 = 0.8`
Let me know if you want to practice converting some fractions yourself — I’ll guide you step-by-step!
Parent Tip: Review the logic above to help your child master the concept of repeating decimals worksheet.
