Question

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

Explanation:

Step1: Find GCD of 45 and 72

Factors of 45: 1, 3, 5, 9, 15, 45
Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
GCD(45,72) = 9

Step2: Divide numerator and denominator by GCD

$\frac{45\div9}{72\div9} = \frac{5}{8}$

Answer:

$\frac{5}{8}$