Fraction to Decimal Converter
Convert any fraction to its decimal equivalent with detailed step-by-step long division explanation
Enter Your Fraction
Decimal Result
Step-by-Step Long Division Explanation
4 goes into 30 seven times (4 × 7 = 28). Subtract 28 from 30 to get 2.
Bring down a 0 to make it 20. 4 goes into 20 five times (4 × 5 = 20). Subtract to get 0.
Since we have a remainder of 0, the division is complete.
Understanding Fraction to Decimal Conversion
Converting fractions to decimals is a fundamental mathematical operation that allows us to represent fractional values in decimal form. This conversion is useful in many real-world applications including measurements, financial calculations, and data analysis.
Terminating Decimals: These decimals have a finite number of digits after the decimal point. For example, 1/4 = 0.25. This occurs when the denominator's prime factors are only 2 and/or 5.
Repeating Decimals: These decimals have one or more repeating digits after the decimal point. For example, 1/3 = 0.333... and 2/7 = 0.285714285714... This happens when the denominator has prime factors other than 2 or 5.
The Conversion Process: The most reliable method to convert a fraction to a decimal is through long division. This involves dividing the numerator by the denominator. If the numerator is smaller than the denominator, we add a decimal point and zeros to continue the division until we get a remainder of zero or detect a repeating pattern.
Our Fraction to Decimal Converter simplifies this process by performing the calculation instantly and providing a detailed step-by-step explanation of the long division process, helping you understand exactly how the conversion works.