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What is the percentage equivalent to [tex]\frac{16}{20}[/tex]?

A. [tex]25\%[/tex]
B. [tex]36\%[/tex]
C. [tex]80\%[/tex]
D. [tex]84\%[/tex]

Sagot :

GinnyAnsweridn
To find the percentage equivalent of the fraction [tex]\(\frac{16}{20}\)[/tex], follow these steps:

1. Understand the Problem:
- A fraction represents a part of a whole.
- To convert a fraction to a percentage, you multiply the fraction by 100.

2. Write Down the Fraction and Conversion Factor:
- The given fraction is [tex]\(\frac{16}{20}\)[/tex].
- To convert a fraction to a percentage, use the conversion factor [tex]\(100\%\)[/tex].

3. Convert the Fraction to Decimal Form:
- Divide the numerator by the denominator: [tex]\(\frac{16}{20} = 0.8\)[/tex].

4. Convert the Decimal to Percentage:
- Multiply the decimal by 100 to get the percentage:
[tex]\[ 0.8 \times 100 = 80\% \][/tex]

Hence, the percentage equivalent to [tex]\(\frac{16}{20}\)[/tex] is [tex]\(80 \%\)[/tex]. Therefore, the correct answer is:
[tex]\[ \boxed{80 \%} \][/tex]
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