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_value = numerator / denominator

Percentage

percentage = (numerator / denominator) * 100

Variables

VariableDescriptionDefault
numeratorNumerator3
denominatorDenominator8

How It Works

Fraction to Decimal Converter

Formula

Decimal = Numerator / Denominator

Divide the numerator by the denominator to get the decimal representation of a fraction.

Worked Example

Convert 3/8 to a decimal.

numerator = 3denominator = 8
  1. 01Decimal = 3 / 8 = 0.375
  2. 02Percentage = 0.375 × 100 = 37.5%

Frequently Asked Questions

How do you convert a fraction to a decimal?

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

Do all fractions convert to terminating decimals?

No. Fractions with denominators that have only factors of 2 and 5 produce terminating decimals. Others produce repeating decimals (e.g., 1/3 = 0.333...).

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