Let's start by converting the given percentage [tex]\(15\%\)[/tex] into a fraction.
1. Convert percentage to fraction:
[tex]\[ 15\% = \frac{15}{100} \][/tex]
2. Simplify the fraction [tex]\( \frac{15}{100} \)[/tex]:
To simplify this fraction, we need to find the greatest common divisor (GCD) of 15 and 100.
- The factors of 15 are 1, 3, 5, and 15.
- The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100.
- The greatest common divisor (GCD) of 15 and 100 is 5.
Now, divide both the numerator and the denominator of [tex]\( \frac{15}{100} \)[/tex] by their GCD, which is 5:
[tex]\[
\frac{15 \div 5}{100 \div 5} = \frac{3}{20}
\][/tex]
3. Identify the most simplified fraction:
The simplified form of [tex]\( \frac{15}{100} \)[/tex] is [tex]\( \frac{3}{20} \)[/tex].
Now, we can analyze the given options to determine which one matches the simplified form [tex]\( \frac{3}{20} \)[/tex]:
- Option A: [tex]\( \frac{3}{20} \)[/tex]
- Option B: [tex]\( \frac{15}{100} \)[/tex]
- Option C: [tex]\( \frac{5}{20} \)[/tex]
- Option D: [tex]\( \frac{20}{3} \)[/tex]
Among these options, the most simplified form of [tex]\( 15\% \)[/tex] is represented by [tex]\( \frac{3}{20} \)[/tex].
Therefore, the correct answer is:
[tex]\[ \boxed{1} \][/tex]
