Convert 75% to Its Decimal and Fractional Equivalents

To solve this problem, let's follow these steps:

• Step 1: Convert the percentage to a fraction
• Step 2: Simplify the fraction
• Step 3: Compare with the available choices

Let's perform these steps:

Step 1: Percentages can be expressed as fractions by dividing by 100. So, we write 75% as $\frac{75}{100}$.

Step 2: Now, simplify the fraction. Find the greatest common divisor (GCD) of 75 and 100. The GCD is 25, so we divide both the numerator and the denominator by 25:

$\frac{75}{100} = \frac{75 \div 25}{100 \div 25} = \frac{3}{4}$.

Step 3: Compare our simplified fraction $\frac{3}{4}$ to the given choices. The correct choice is:

$\frac{3}{4}$

Thus, 75% is equal to $\frac{3}{4}$.