To express the fraction [tex]\(\frac{1}{5}\)[/tex] as a percentage, you need to follow these steps:
1. Understand the Problem: We're given a fraction, [tex]\(\frac{1}{5}\)[/tex], and need to convert it to a percentage.
2. Conversion from Fraction to Percentage: To convert a fraction to a percentage, you multiply the fraction by 100. The formula to convert a fraction [tex]\( \frac{a}{b} \)[/tex] to a percentage is:
[tex]\[
\left( \frac{a}{b} \right) \times 100
\][/tex]
3. Apply the Formula: For [tex]\(\frac{1}{5}\)[/tex], we apply the formula:
[tex]\[
\frac{1}{5} \times 100
\][/tex]
4. Perform the Multiplication: Multiply:
[tex]\[
\frac{1}{5} \times 100 = 20
\][/tex]
5. Express as a Percentage: Therefore, [tex]\(\frac{1}{5}\)[/tex] is equal to [tex]\( 20 \% \)[/tex].
6. Select the Correct Answer: According to the options provided:
- A. [tex]\( 10 \% \)[/tex]
- B. [tex]\( 20 \% \)[/tex]
- C. [tex]\( 30 \% \)[/tex]
- D. [tex]\( 50 \% \)[/tex]
The correct answer is [tex]\( B \)[/tex], which corresponds to [tex]\( 20 \% \)[/tex].
Thus, [tex]\(\frac{1}{5}\)[/tex] expressed as a percentage is [tex]\( 20 \% \)[/tex]. The answer is [tex]\( \boxed{20\%} \)[/tex].
