Question

write the fraction \\(\frac{27}{72}\\) in simplest form.

Explanation:

Step1: Find GCD of 27 and 72

The greatest common divisor (GCD) of 27 and 72. Factors of 27: 1, 3, 9, 27. Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72. GCD is 9.

Step2: Divide numerator and denominator by GCD

Divide 27 by 9: $27\div9 = 3$. Divide 72 by 9: $72\div9 = 8$. So $\frac{27}{72}=\frac{3}{8}$.

Answer:

$\frac{3}{8}$