Question

write the fraction \\(\frac{45}{72}\\) in simplest form.

Explanation:

Step1: Find GCD of 45 and 72

The factors of 45 are \(1, 3, 5, 9, 15, 45\). The factors of 72 are \(1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72\). The greatest common divisor (GCD) is 9.

Step2: Divide numerator and denominator by GCD

Divide 45 by 9: \(45\div9 = 5\). Divide 72 by 9: \(72\div9 = 8\). So \(\frac{45}{72}=\frac{5}{8}\).

Answer:

\(\frac{5}{8}\)