To convert [tex]\( 5.25\% \)[/tex] to a fraction in its simplest form, follow these steps:
1. Convert the percentage to a decimal:
[tex]\[
5.25\% = \frac{5.25}{100} = 0.0525
\][/tex]
2. Express the decimal as a fraction:
To convert [tex]\(0.0525\)[/tex] to a fraction, recognize that [tex]\(0.0525\)[/tex] is equivalent to [tex]\(\frac{525}{10000}\)[/tex] because:
[tex]\[
0.0525 = \frac{525}{10000}
\][/tex]
3. Simplify the fraction:
Next, simplify [tex]\(\frac{525}{10000}\)[/tex] to its lowest terms by finding the greatest common divisor (GCD) of the numerator and the denominator.
The GCD of 525 and 10000 is 25. Now, divide both the numerator and the denominator by their GCD:
[tex]\[
\frac{525 \div 25}{10000 \div 25} = \frac{21}{400}
\][/tex]
Therefore, [tex]\(5.25\%\)[/tex] as a fraction in simplest form is:
[tex]\[
\frac{21}{400}
\][/tex]
