Since the given text [tex]$\frac{5}{7}$[/tex] does not appear to be a complete question or task, it is considered nonsense in the context of the instructions. Here is a more sensible and formatted version:

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Simplify the fraction:

[tex]\[ \frac{5}{7} \][/tex]

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Answer :

To solve the problem of finding the value of the fraction [tex]\(\frac{5}{7}\)[/tex], follow these steps:

1. Understand the Fraction:
- The fraction is [tex]\(\frac{5}{7}\)[/tex], where 5 is the numerator and 7 is the denominator.

2. Division:
- To find the decimal value of the fraction, we perform the division of the numerator by the denominator.

3. Perform the Division:
- Divide 5 by 7. This operation can be represented as:
[tex]\[ 5 \div 7 = 0.7142857142857143 \][/tex]

4. Result:
- The decimal representation of the fraction [tex]\(\frac{5}{7}\)[/tex] is approximately 0.7142857142857143.

Hence, the value of [tex]\(\frac{5}{7}\)[/tex] as a decimal is 0.7142857142857143.