Fraction to Decimal Calculator

Convert proper fractions, improper fractions, and mixed numbers into decimal and percentage values with simplified fraction details.

Sign

Whole number (optional)

Numerator

Denominator

Decimal places

Use this Fraction to Decimal Calculator to convert proper fractions, improper fractions, and mixed numbers into decimal and percentage values.

Calculation Method

For a fraction:

Decimal = numerator ÷ denominator

For a mixed number, first convert it into an improper fraction:

Improper numerator = whole number × denominator + numerator

Then divide the numerator by the denominator.

To convert the decimal to a percentage:

Percentage = decimal × 100

Example

Convert 2 3/4 to a decimal.

First convert it to an improper fraction:

2 3/4 = 11/4

Then divide:

11 ÷ 4 = 2.75

As a percentage:

2.75 × 100 = 275%

Important Note

The denominator cannot be zero. Fractions such as 1/3 produce repeating decimals, so the displayed decimal may be rounded according to the selected number of decimal places.

Source

OpenStax Prealgebra 2e — Decimals and Fractions

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