Fraction to Percentage Calculator

Numerator:

Denominator:
Fraction Visualization
Invalid 0/1 = 0.00 Invalid input

Understanding Fraction to Percentage Conversion

What is a Fraction?

A fraction is a numerical quantity that represents a part of a whole. It consists of two parts: the numerator (top number) and the denominator (bottom number). For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator.

Converting Fraction to Percentage

To convert a fraction to a percentage, we follow these steps:

  1. Divide the numerator by the denominator.
  2. Multiply the result by 100.
  3. Add the percent sign (%).

Formula

The general formula for converting a fraction to a percentage is:

Percentage=NumeratorDenominator×100%

Where:

  • Numerator is the top number of the fraction
  • Denominator is the bottom number of the fraction

Calculation Steps

Let's convert 3/4 to a percentage:

  1. Divide the numerator by the denominator:

    34=0.75

  2. Multiply by 100:

    0.75×100=75

  3. Add the percent sign:

    75%

Example with Visual Representation

Let's visualize 3/4 as a percentage:

3 4 × 100 0.75 = % 75%

This diagram shows 3/4 (or 75%) of a circle filled, representing the fraction visually.

Handling Improper Fractions

Improper fractions (where the numerator is greater than the denominator) can also be converted to percentages. For example:

  • 5/4 = 125%
  • 3/2 = 150%
  • 7/5 = 140%

These represent values greater than 100% or the whole.