Answer :
To determine whether the fraction [tex]\(\frac{7}{9}\)[/tex] is in its lowest terms, we need to check if the numerator and the denominator have any common factors other than 1. If they do not, the fraction is in its lowest terms.
Let's examine the factors of each number:
- The factors of 7 are 1, 7.
- The factors of 9 are 1, 3, 9.
Since 7 is a prime number, its only factors are 1 and itself (7). The factors of 9 do not include 7. Therefore, the greatest common divisor (GCD) of 7 and 9 is 1.
Since the GCD of the numerator and the denominator is 1, it means the fraction [tex]\(\frac{7}{9}\)[/tex] is already in its lowest terms.
Thus, the statement is:
A. True
Let's examine the factors of each number:
- The factors of 7 are 1, 7.
- The factors of 9 are 1, 3, 9.
Since 7 is a prime number, its only factors are 1 and itself (7). The factors of 9 do not include 7. Therefore, the greatest common divisor (GCD) of 7 and 9 is 1.
Since the GCD of the numerator and the denominator is 1, it means the fraction [tex]\(\frac{7}{9}\)[/tex] is already in its lowest terms.
Thus, the statement is:
A. True
