Answer :

To solve the question and express the fraction [tex]\(\frac{12}{25}\)[/tex], follow these steps:

1. Identify the Fraction: The fraction is made up of a numerator, which is 12, and a denominator, which is 25. These numbers define the fraction as [tex]\(\frac{12}{25}\)[/tex].

2. Simplify the Fraction: Next, we determine if the fraction can be simplified. To do this, we need to find the greatest common divisor (GCD) of the numerator (12) and the denominator (25).

3. Check for Common Factors:
- The factors of 12 are 1, 2, 3, 4, 6, and 12.
- The factors of 25 are 1, 5, and 25.

The only common factor between 12 and 25 is 1.

4. Conclusion on Simplification: Since the greatest common divisor is 1, this means that [tex]\(\frac{12}{25}\)[/tex] is already in its simplest form because there's no number other than 1 that can divide both the numerator and the denominator without leaving a remainder.

5. Final Expression: Therefore, the fraction remains as [tex]\(\frac{12}{25}\)[/tex].

This detailed explanation shows how [tex]\(\frac{12}{25}\)[/tex] is already simplified and is expressed correctly.