Fraction to Decimal Converter Formula

Understand the math behind the fraction to decimal converter. Each variable explained with a worked example.

Use the Fraction to Decimal Converter

Formulas Used

Decimal Value

decimal_result = numerator / denominator

As Percentage

percentage_result = (numerator / denominator) * 100

Variables

VariableDescriptionDefault
numeratorNumerator3
denominatorDenominator4

How It Works

How to Convert a Fraction to a Decimal

Formula

Decimal = Numerator / Denominator

Simply divide the top number by the bottom number. The result may terminate (like 3/4 = 0.75) or repeat (like 1/3 = 0.333...).

Worked Example

Convert 3/4 to a decimal.

numerator = 3denominator = 4
  1. 01Decimal = 3 / 4
  2. 02= 0.75
  3. 03As percentage: 0.75 × 100 = 75%

Frequently Asked Questions

How do I convert a fraction to a decimal?

Divide the numerator (top number) by the denominator (bottom number). For example, 3/8 = 3 divided by 8 = 0.375.

What if the division does not terminate?

Some fractions produce repeating decimals. For instance, 1/3 = 0.333... and 1/7 = 0.142857142857... The pattern repeats indefinitely.

How do I convert a mixed number to a decimal?

First convert the mixed number to an improper fraction (multiply whole number by denominator, add numerator), then divide. E.g., 2 1/4 = 9/4 = 2.25.

Ready to run the numbers?

Open Fraction to Decimal Converter