To convert a percentage to a fraction, follow these steps:
1. Understand the meaning of the percentage: The percentage [tex]\( 71\% \)[/tex] means [tex]\( 71 \)[/tex] parts out of [tex]\( 100 \)[/tex] parts. Percent literally means "per hundred."
2. Write the percentage as a fraction: Place the percentage number over [tex]\( 100 \)[/tex], forming the fraction [tex]\(\frac{71}{100}\)[/tex].
3. Simplify the fraction if possible: In this case, [tex]\(\frac{71}{100}\)[/tex] is already in its simplest form because the greatest common divisor of 71 and 100 is 1.
Therefore, [tex]\( 71\% \)[/tex] written as a fraction is [tex]\(\frac{71}{100}\)[/tex].
The correct answer is:
[tex]\(\frac{71}{100}\)[/tex]
