To express the percent [tex]\(3 \frac{3}{5} \%\)[/tex] as a decimal, we follow these steps:
1. Convert the mixed fraction to an improper fraction:
- The given percent is [tex]\(3 \frac{3}{5} \%\)[/tex].
- To convert [tex]\(3 \frac{3}{5}\)[/tex] to an improper fraction, multiply the whole number (3) by the denominator (5) and add the numerator (3).
[tex]\[
3 \times 5 = 15
\][/tex]
[tex]\[
15 + 3 = 18
\][/tex]
So, [tex]\(3 \frac{3}{5}\)[/tex] can be written as [tex]\(\frac{18}{5}\)[/tex].
2. Convert the improper fraction to a decimal:
- Divide the numerator (18) by the denominator (5).
[tex]\[
\frac{18}{5} = 3.6
\][/tex]
3. Convert the percent to a decimal:
- To convert a percent to a decimal, divide the percent by 100.
[tex]\[
3.6 \% = \frac{3.6}{100}
\][/tex]
- Dividing 3.6 by 100 gives us:
[tex]\[
3.6 \div 100 = 0.036
\][/tex]
Therefore, [tex]\(3 \frac{3}{5} \%\)[/tex] expressed as a decimal is:
[tex]\[
0.036
\][/tex]
