To convert [tex]\(3\%\)[/tex] into a fraction in simplest form, let's go through the following steps:
1. Express the percentage as a fraction:
[tex]\(3\%\)[/tex] means 3 parts out of 100. Therefore, it can be initially written as:
[tex]\[
\frac{3}{100}
\][/tex]
2. Simplify the fraction:
To simplify the fraction, we need to determine if there is a common divisor between the numerator (3) and the denominator (100).
The greatest common divisor (GCD) of 3 and 100 is 1 because 3 is a prime number and it does not share any common factors with 100 other than 1.
3. Since the GCD is 1, the fraction [tex]\(\frac{3}{100}\)[/tex] is already in its simplest form.
Thus, [tex]\(3\%\)[/tex] as a fraction in simplest form is:
[tex]\[
\frac{3}{100}
\][/tex]
Among the given options, [tex]\(\frac{3}{100}\)[/tex] is the correct and simplified fraction representation of [tex]\(3\%\)[/tex].
