Convert Fraction to Decimal Using Long Division Calculator
Convert fractions and mixed numbers into decimals with detailed step-by-step long division. Easily identify whether a fraction results in a terminating decimal or recurring/repeating cycle.
Formula & Mathematical Methodology
Divide the numerator by the denominator using standard long division, and add the integer whole number if applicable.
How to Use This Convert Fraction to Decimal Using Long Division Calculator
- Enter the numerator and denominator of the fraction.
- Enter any whole number if dealing with a mixed fraction.
- Review the decimal result, repeating status, percentage, and long division steps.
Step-by-Step Worked Example
Scenario: Convert 3/4 to decimal
What Does Your Result Mean?
Decimals make comparing magnitudes straightforward and allow input into standard calculators and spreadsheets.
Common Practical Applications:
- Converting recipe quantities for digital kitchen scales
- Inputting fractional building dimensions into CAD software
- Comparing proportions and probability values
Important Limitations & Assumptions:
- Denominators cannot equal zero.
Frequently Asked Questions
How do you convert a fraction to a decimal using long division?
Divide the numerator by the denominator. Add a decimal point and zeros to the dividend as needed until the division terminates or a repeating remainder pattern emerges.
How do you know if a fraction terminates or repeats?
In simplest form, if the denominator contains only prime factors of 2 and 5, it terminates. If it contains any other prime factor (like 3, 7, 11), it repeats infinitely.
What is 3/4 as a decimal and percent?
3/4 = 0.75 as a decimal and 75% as a percentage.