Question

which fraction can be simplified? \\(\frac{18}{25}\\) \\(\frac{3}{5}\\) \\(\frac{17}{20}\\) \\(\frac{12}{15}\\)

Explanation:

Step1: Check GCD of 18 and 25

GCD(18,25) = 1, so \(\frac{18}{25}\) can't be simplified.

Step2: Check GCD of 3 and 5

GCD(3,5) = 1, so \(\frac{3}{5}\) can't be simplified.

Step3: Check GCD of 17 and 20

GCD(17,20) = 1, so \(\frac{17}{20}\) can't be simplified.

Step4: Check GCD of 12 and 15

GCD(12,15) = 3. Since GCD > 1, \(\frac{12}{15}\) can be simplified (e.g., \(\frac{12\div3}{15\div3}=\frac{4}{5}\)).

Answer:

\(\frac{12}{15}\)