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.