Answer :
To write the fraction [tex]\(\frac{12}{25}\)[/tex] in its lowest terms, we need to check if the numerator (12) and the denominator (25) have any common factors other than 1. The simplest way to do this is to find the greatest common divisor (GCD) of the numerator and the denominator.
1. List the factors:
- Factors of 12: 1, 2, 3, 4, 6, 12
- Factors of 25: 1, 5, 25
2. Identify the greatest common factor:
- The only common factor between 12 and 25 is 1.
3. Reduce the fraction:
- Since the greatest common factor is 1, the fraction [tex]\(\frac{12}{25}\)[/tex] is already in its simplest form.
Therefore, [tex]\(\frac{12}{25}\)[/tex] is the fraction written in the lowest terms.
1. List the factors:
- Factors of 12: 1, 2, 3, 4, 6, 12
- Factors of 25: 1, 5, 25
2. Identify the greatest common factor:
- The only common factor between 12 and 25 is 1.
3. Reduce the fraction:
- Since the greatest common factor is 1, the fraction [tex]\(\frac{12}{25}\)[/tex] is already in its simplest form.
Therefore, [tex]\(\frac{12}{25}\)[/tex] is the fraction written in the lowest terms.