Question

select the fully reduced form of this fraction.
\\(\frac{19}{23x}\\)
a. \\(-4x\\) b. \\(\frac{1}{4x}\\) c. \\(\frac{42}{x}\\)
d. \\(\frac{437}{x}\\) e. already fully reduced

Explanation:

Step1: Identify numerator/denominator factors

Numerator: $19$ (prime number, factors: $1, 19$)
Denominator: $23x$ (23 is prime, factors: $1, 23, x$)

Step2: Check for common factors

No shared factors between $19$ and $23x$ (19 ≠ 23, 19 does not divide $x$, 23 does not divide 19).

Step3: Confirm reduced status

Since no common factors exist, the fraction cannot be simplified further.

Answer:

E. Already fully reduced