This Decimal to Fraction Calculator is a tool designed to transform any decimal number into both its pure fraction form and its mixed number form. It’s useful for students, professionals, or anyone needing to interpret decimal numbers as fractions.

## Decimal to Fraction Calculator

Convert decimals to fractions or mixed numbers.

Result:
Fraction: Enter a number
Mixed Number: Enter a number

## What Can It Do?

The calculator converts a decimal into two types of fractional representations:

• Pure Fraction: Expresses the decimal as a single fraction.
• Mixed Number: Expresses the decimal as a whole number and a fraction.

## How to Use the Calculator

1. Input Decimal: Enter the decimal number you want to convert into the input field.
2. Convert: Press the ‘Convert’ button to get the fractional representations.
3. View Results: The calculator displays the conversion as both a pure fraction and a mixed number.

You don’t need to be as smart as the creator of the Universe to be able to use our online tool

## Formula Used

The conversion involves dividing the decimal into its whole number and fractional parts. The fractional part is then expressed as a ratio of two integers. The greatest common divisor (GCD) method is used to simplify the fraction to its lowest terms. The basic formula for a decimal ‘d’ is:

• Pure Fraction: Numerator = d * denominator, Denominator = appropriate power of 10
• Mixed Number: Separate whole part and fractional part, then reduce fractional part.

### Examples

• 1.14 converts to:
• Pure Fraction: 57/50
• Mixed Number: 1, 7/50
• 2.75 converts to:
• Pure Fraction: 11/4
• Mixed Number: 2, 3/4
• 0.333 converts to:
• Pure Fraction: 333/1000 (often further simplified)
• Mixed Number: 0, 333/1000