Question

write \\(\frac{10}{45}\\) in lowest terms.

Explanation:

Step1: Find GCD of 10 and 45

The factors of 10 are 1, 2, 5, 10. The factors of 45 are 1, 3, 5, 9, 15, 45. The greatest common divisor (GCD) is 5.

Step2: Divide numerator and denominator by GCD

Divide 10 by 5: \(10\div5 = 2\). Divide 45 by 5: \(45\div5 = 9\). So \(\frac{10}{45}=\frac{2}{9}\).

Answer:

\(\frac{2}{9}\)