Certainly! To express "three out of fourteen" as a fraction and simplify it if necessary, we can follow these steps:
1. Write the given numbers as a fraction: The given statement "three out of fourteen" can be written as the fraction [tex]\(\frac{3}{14}\)[/tex].
2. Simplify the fraction:
- First, identify the greatest common divisor (GCD) of the numerator (3) and the denominator (14).
- The GCD of 3 and 14 is 1. This means that 3 and 14 have no common factors other than 1.
- When the GCD is 1, it indicates that the fraction is already in its simplest form.
3. Simplified Fraction: Since the GCD is 1, the fraction [tex]\(\frac{3}{14}\)[/tex] does not need further simplification and remains [tex]\(\frac{3}{14}\)[/tex].
So, three out of fourteen is written as the fraction [tex]\(\frac{3}{14}\)[/tex].
