Fraction to Decimal Converter
Convert fractions to decimals and decimals to fractions instantly.
What Is the Fraction to Decimal Converter?
This converter transforms fractions into decimal numbers and vice versa. Converting between these two representations is essential for comparing values, performing calculations, and understanding proportions in different formats.
Formula
How to Use
Choose the conversion direction using the tabs. For fraction to decimal, enter the numerator and denominator. For decimal to fraction, type a decimal number. Click Convert.
Example Calculation
3/8 as a decimal: 3 ÷ 8 = 0.375. The decimal 0.625 as a fraction: 625/1000, simplified by GCD (125) = 5/8.
Understanding Fraction to Decimal Converter
Fractions and decimals are two ways to represent the same values. Fractions express a ratio of two integers, while decimals use base-10 place values. Being comfortable converting between them is crucial for math fluency.
Converting a fraction to a decimal is straightforward: divide the numerator by the denominator. Converting a decimal to a fraction involves expressing the decimal as a fraction over a power of 10, then simplifying.
This tool handles both directions instantly and simplifies the resulting fraction to its lowest terms using the greatest common divisor.
Frequently Asked Questions
Do all fractions have terminating decimals?
No. Fractions whose denominator (in lowest terms) has only factors of 2 and 5 produce terminating decimals. Others (like 1/3 = 0.333…) produce repeating decimals.
How accurate is the conversion?
The fraction-to-decimal conversion shows up to 8 significant decimal places. The decimal-to-fraction conversion is exact for terminating decimals.