Fraction to Percent Calculator

How to Convert Fractions to Percentages

Converting fractions to percentages is a fundamental skill in mathematics. It involves transforming a fraction into an equivalent percentage representation.

Formula for Converting Fractions to Percentages

The formula to convert a fraction to a percentage is:

\[\text{Percentage} = \frac{\text{Numerator}}{\text{Denominator}} \times 100\%\]

Where:

• Numerator is the top number in a fraction
• Denominator is the bottom number in a fraction

Calculation Steps

1. Identify the numerator and denominator of the fraction.
2. Divide the numerator by the denominator to get a decimal.
3. Multiply the resulting decimal by 100 to get the percentage.
4. Add the percent symbol (%) to the result.

Example Calculation

Let's convert the fraction \(\frac{3}{4}\) to a percentage:

1. Identify: numerator = 3, denominator = 4
2. Divide: 3 ÷ 4 = 0.75
3. Multiply by 100: 0.75 × 100 = 75
4. Add percent symbol: 75%
5. Therefore, \(\frac{3}{4}\) as a percentage is 75%

Visual Representation

This pie chart visually represents the fraction \(\frac{3}{4}\). The red section shows 3 parts out of 4, which is equivalent to 75% of the whole.