Fraction to Decimal Calculator
Convert fractions to decimal numbers with step-by-step division process
Examples: 1/2, 3/4, 2 1/2, 5/8
How to Use This Calculator
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Converting Fractions to Decimals
To convert a fraction to a decimal, simply divide the numerator (top number) by the denominator (bottom number). Our calculator shows you each step of the division process, making it perfect for learning and homework help.
Example Problems
Common Fraction Conversions:
- 1/2 = 0.5 (one half - 50%)
- 1/4 = 0.25 (one quarter - 25%)
- 3/4 = 0.75 (three quarters - 75%)
- 1/8 = 0.125 (one eighth - 12.5%)
- 1/3 = 0.333... (one third - repeating decimal)
- 2/3 = 0.666... (two thirds - repeating decimal)
Mixed Number Conversions:
- 2 1/2 = 2.5 (two and a half)
- 3 1/4 = 3.25 (three and one quarter)
- 1 3/4 = 1.75 (one and three quarters)
How Fraction to Decimal Conversion Works
Converting a fraction to a decimal is a simple division process:
- If you have a mixed number (like 2 1/2), convert it to an improper fraction first
- Divide the numerator by the denominator
- The result is your decimal number
- Some fractions produce repeating decimals (like 1/3 = 0.333...)
Working with Mixed Numbers
For mixed numbers (like 2 1/2), first convert to an improper fraction: multiply the whole number by the denominator, add the numerator, then divide by the denominator. Example: 2 1/2 = (2×2 + 1)/2 = 5/2 = 2.5
Frequently Asked Questions
How do I convert a fraction to a decimal?
Divide the numerator (top number) by the denominator (bottom number). For example, to convert 3/4 to a decimal: 3 ÷ 4 = 0.75. Our calculator shows you this division process step by step.
What is a repeating decimal?
A repeating decimal has digits that repeat infinitely. For example, 1/3 = 0.333... where 3 repeats forever, and 1/7 = 0.142857142857... where 142857 repeats. Our calculator identifies repeating decimals for you.
How do I convert mixed numbers to decimals?
Enter the whole number, numerator, and denominator separately. The calculator will convert the mixed number to an improper fraction first, then to a decimal. For example, 2 1/2 = 2.5.
What fractions produce repeating decimals?
Fractions produce repeating decimals when the denominator has prime factors other than 2 and 5. For example, 1/3, 1/6, 1/7, 1/9, and 2/3 all produce repeating decimals. Fractions like 1/2, 1/4, 1/5, and 1/8 produce terminating (non-repeating) decimals.
Can I convert improper fractions?
Yes! Improper fractions (where the numerator is larger than the denominator, like 5/2) convert to decimals greater than 1. For example, 5/2 = 2.5. Just enter the numerator and denominator, and the calculator handles the rest.
Why use a fraction to decimal converter?
Converting fractions to decimals is essential for calculations, comparisons, and real-world applications. Decimals are often easier to work with in arithmetic, and this tool helps you understand the conversion process while saving time on homework and everyday math problems.
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Educational Disclaimer
This calculator is provided for educational purposes and homework assistance. While we strive for accuracy, please verify critical calculations independently. Results should not be used as the sole basis for important financial, academic, or professional decisions. Always check your work and consult with appropriate professionals when needed.