Sergio claims that StartFraction 20 Over 20 EndFraction = 1 percent. Which statement is true regarding his claim?

Sergio is correct because StartFraction 20 Over 20 EndFraction = 1.
Sergio is correct because 20 out of 20 represents 1 whole.
Sergio is incorrect because StartFraction 20 Over 20 EndFraction = StartFraction 100 Over 100 EndFraction
Sergio is incorrect because the ratio simplifies to 0.

1 answer

Sergio's claim that \( \frac{20}{20} = 1 \) percent is incorrect. Here’s why:

  1. Understanding \( \frac{20}{20} \): This fraction simplifies to 1, not 0. Therefore, \( \frac{20}{20} = 1 \).

  2. Understanding percentages: A percentage is a number expressed as a fraction of 100. So, 1 whole represents 100 percent, not 1 percent.

Therefore, the correct statement regarding Sergio's claim is:

Sergio is incorrect because \( \frac{20}{20} \) does not equal 1 percent, it equals 100 percent.

However, from the given options, the closest relevant statement is:

Sergio is incorrect because \( \frac{20}{20} = \frac{100}{100} \), since both fractions equal 1, which represents 100 percent, not 1 percent.