Fraction to Decimal Converter
Convert any fraction into its decimal representation instantly. A precise tool for mathematical analysis, engineering dimensions, and culinary measurement scaling.
Input Fraction
The Logic of Division
At its core, a fraction is a division problem that hasn't been solved yet. The bar separating the numerator from the denominator is a division symbol. Converting to a decimal standardizes the value, making it easier to compare against other numbers or use in computational algorithms that prefer floating-point notation.
Numerator
The top number representing how many "parts" of the whole are being considered.
Denominator
The bottom number representing the total number of equal parts that make up the whole.
The Computational Formula
Arithmetic Proof
DecimalValue = x / y
Resulting values can be finite (like 0.25) or repeating/infinite (like 0.333...) depending on the denominator's prime factors.
Common Conversion Benchmarks
Common Fraction Decimal Representation Percentage 1/2 0.5 50% 1/4 0.25 25% 3/4 0.75 75% 1/5 0.2 20% 1/3 0.333... 33.3% 2/3 0.666... 66.7% 1/8 0.125 12.5% 7/8 0.875 87.5% Construction & Engineering: Precision Inch Fractions
Inch Fraction Decimal (Exact) Metric (mm) 1/16" 0.0625 1.5875 1/8" 0.1250 3.1750 1/4" 0.2500 6.3500 3/8" 0.3750 9.5250 1/2" 0.5000 12.700 5/8" 0.6250 15.875 3/4" 0.7500 19.050 7/8" 0.8750 22.225 1" 1.0000 25.400 Frequently Asked Questions