Percent to Fraction Calculator

How to Convert Percent to Fraction

Converting a percentage to a fraction is a fundamental mathematical operation that's useful in various fields, including finance, statistics, and everyday calculations. This process involves expressing a part of 100 as a ratio of two whole numbers.

Percent to Fraction Formula

The formula to convert a percentage to a fraction is:

\[ \frac{Percentage}{100} = \frac{Numerator}{Denominator} \]

Where:

• Percentage is the given percentage value
• 100 is the denominator for all percentages
• Numerator is the number of parts
• Denominator is the total number of equal parts

Calculation Steps

1. Write the percentage as a fraction with 100 as the denominator
2. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD)
3. The result is the simplified fraction

Example Calculation

Let's convert 75% to a fraction.

Step 1: Write as a fraction

\[ \frac{75}{100} \]

Step 2: Find the GCD

The GCD of 75 and 100 is 25.

Step 3: Simplify the fraction

\[ \frac{75 \div 25}{100 \div 25} = \frac{3}{4} \]

Step 4: Final result

75% = 3/4

Visual Representation

This diagram illustrates how 75% (or 3/4) relates to the whole (4/4). The blue portion represents 3 parts out of 4 equal parts of the entire bar, which is equivalent to 75%.