https://file.aiquickdraw.com/mathbot/file/17274588273679zvjc5zt.jpg

The image provided contains a table with decimals, asking whether each can be written as a fraction, along with the reason for the answer.

Here's the solution:

1. **0.646464…**:
   - **Can this be written as a fraction?**: Yes
   - **Reason**: This is a repeating decimal. The decimal part "64" repeats infinitely (0.646464…), so it is a repeating decimal and can be expressed as a fraction.

2. **0.63758…**:
   - **Can this be written as a fraction?**: No
   - **Reason**: This is a decimal that neither terminates nor repeats. The decimal continues without any clear pattern, so it cannot be written as a fraction.

3. **0.222**:
   - **Can this be written as a fraction?**: Yes
   - **Reason**: This is a terminating decimal. It stops at 0.222, meaning it can be written as a fraction.

4. **0.46 (with the bar above 6)**:
   - **Can this be written as a fraction?**: Yes
   - **Reason**: This is a repeating decimal. The "6" repeats infinitely (0.4666…), so it is a repeating decimal and can be written as a fraction.

Let me know if you'd like details on how to convert any of these decimals to fractions!

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### 5 Related Questions:
1. How do you convert a repeating decimal like 0.6464... into a fraction?
2. Why can't non-repeating and non-terminating decimals be written as fractions?
3. Can all terminating decimals be written as fractions? How?
4. How do we determine whether a decimal is repeating or terminating?
5. What is the method to convert a repeating decimal like 0.46̅ into a fraction?

### Tip:
A repeating decimal can always be written as a fraction, whereas a non-repeating, non-terminating decimal cannot.

Can the given decimals be written as fractions?

Learn how to determine if decimals like 0.6464... and 0.46̅ can be expressed as fractions. Understand the difference between repeating, terminating, and non-terminating decimals, and when they can be written as fractions. Suitable for middle school students in Grades 6-8.

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