Answer:
Option D - [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Given : Expression [tex]\frac{15}{45}[/tex] written as a fraction
To write : The simplest form of fraction
Solution :
Least prime factor is the smallest prime number that divide the number.
Step 1. Write the expression = [tex]\frac{15}{45}[/tex]
Step 2. Divide numerator and denominator of the expression with the least prime factor of (15,45) i.e 3 = [tex]\frac{5}{15}[/tex]
Step 3. Again divide numerator and denominator of the expression with the least prime factor of(5,15) i.e 5 = [tex]\frac{1}{3}[/tex]
Therefore, option D is correct [tex]\frac{1}{3}[/tex] is the simplest form of [tex]\frac{15}{45}[/tex]
