Converting 65% to Its Fractional Equivalents

To solve this problem, we need to convert 65% into a fraction and simplify it. Let's walk through this process:

• Step 1: Convert the percentage to a fraction

Percentages can be easily converted to fractions by writing them over 100. For 65%, we write:

$65\% = \frac{65}{100}$

• Step 2: Simplify the fraction

To simplify $\frac{65}{100}$, we find the greatest common divisor (GCD) of 65 and 100. The GCD is 5. Therefore, divide both the numerator and the denominator by 5:

$\frac{65 \div 5}{100 \div 5} = \frac{13}{20}$

Thus, 65% as a simplified fraction is $\frac{13}{20}$.

Upon reviewing the multiple-choice options, we see that choice 3: $\frac{13}{20}$ matches our simplified result.

Therefore, the percentage 65% is equal to $\frac{13}{20}$.