Question

one way to write a fraction in simplest form

1. find the greatest common factor of the numerator and

denominator.

1. write the numerator and denominator as a product of the

greatest common factor and another number.

1. rewrite as the product of two fractions, so one fraction is a

form of 1.

1. multiply to find the simplest form.

solve:
write the fraction \\(\frac{15}{24}\\) in simplest form.
first, find the greatest common factor of the numerator and denominator.

Explanation:

Step1: List factors of 15

Factors of 15: \(1, 3, 5, 15\)

Step2: List factors of 24

Factors of 24: \(1, 2, 3, 4, 6, 8, 12, 24\)

Step3: Identify common factors

Common factors of 15 and 24: \(1, 3\)

Step4: Find the greatest common factor (GCF)

The greatest among 1 and 3 is 3.

Answer:

3