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[tex]$20 \%$[/tex] is equal to:

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]

Sagot :

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.