Fraction ↔ Decimal

Convert decimals to fractions (showing repeating decimals) and fractions to decimals.

\text{Fraction} = \frac{d}{10^k} \text{ simplified}; \quad \text{Decimal} = \text{Numerator} \div \text{Denominator}

Result

Step-by-Step Calculation & Explanation

To convert a terminating decimal to a fraction, place the digits after the decimal point over a power of 10 equal to the number of decimal places, and simplify. Repeating decimals can be solved algebraically using equations. Fraction to decimal is solved by long division.