To determine which fraction is equivalent to [tex]\(20\%\)[/tex], we need to convert [tex]\(20\%\)[/tex] into a fraction and then compare it to the given options.
1. Convert [tex]\(20\%\)[/tex] to a fraction:
- Recall that a percentage represents a fraction out of 100. Therefore,
[tex]\[
20\% = \frac{20}{100}
\][/tex]
2. Simplify the fraction:
- To simplify [tex]\(\frac{20}{100}\)[/tex], we divide both the numerator and the denominator by their greatest common divisor, which is 20.
[tex]\[
\frac{20 \div 20}{100 \div 20} = \frac{1}{5}
\][/tex]
3. Compare the simplified fraction to the given options:
- a. [tex]\(\frac{1}{4}\)[/tex]
- b. [tex]\(\frac{1}{2}\)[/tex]
- c. [tex]\(\frac{2}{5}\)[/tex]
- d. [tex]\(\frac{1}{5}\)[/tex]
- e. [tex]\(\frac{2}{4}\)[/tex]
Upon comparison, the fraction [tex]\(\frac{1}{5}\)[/tex] matches option d.
Thus, [tex]\(20\% \)[/tex] is equal to [tex]\(\frac{1}{5}\)[/tex], which corresponds to option d.
