Converting 84% to Its Equivalent Decimal and Fraction Forms

To solve this problem effectively, follow these steps:

• Step 1: Convert the percentage to a fraction.
  To express 84% as a fraction, write it as $\frac{84}{100}$ since percent means per hundred.
• Step 2: Simplify the fraction.
  We need to simplify $\frac{84}{100}$ by finding the greatest common divisor (GCD) of 84 and 100. The GCD of 84 and 100 is 4.
• Step 3: Divide both numerator and denominator by their GCD.
  Divide 84 by 4 to get 21, and divide 100 by 4 to get 25.
  Thus, $\frac{84}{100} = \frac{21}{25}$.
• Step 4: Identify the correct choice.
  Among the provided options, $\frac{21}{25}$ corresponds to choice 2.

Thus, the percentage 84% is equal to $\frac{21}{25}$.