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Fraction to Decimal Converter
Convert any fraction to its decimal representation with our interactive converter. See step-by-step solutions, understand repeating decimals, and learn about terminating vs. non-terminating decimals. Perfect for students learning about decimal representations of fractions.
Quick Tips
- To convert a fraction to a decimal, divide the numerator by the denominator
- Some fractions convert to terminating decimals (like 1/2 = 0.5)
- Others convert to repeating decimals (like 1/3 = 0.333...)
- To convert a decimal to a fraction, write it as a fraction with a denominator of 1, then multiply by 10 for each decimal place
- Use the share button to save and share your conversions with others
Understanding Fraction to Decimal Conversion
Fraction to Decimal
To convert a fraction to a decimal, divide the numerator by the denominator:
Step-by-Step Guide:
- Divide the numerator by the denominator
- If the division doesn't end evenly, you'll get a repeating decimal
- For example: 1/2 = 0.5 (terminating) or 1/3 = 0.333... (repeating)
💡 Pro Tip:
A fraction will have a terminating decimal if its denominator (after simplifying) has no prime factors other than 2 and 5.
Decimal to Fraction
To convert a decimal to a fraction, follow these steps:
Step-by-Step Guide:
- Write the decimal as a fraction with a denominator of 1
- Multiply both the numerator and denominator by 10 for each digit after the decimal point
- Simplify the resulting fraction
💡 Pro Tip:
For repeating decimals, you'll need a more advanced method to convert to a fraction. Our converter handles this automatically!
Share Your Learning Journey
Found a helpful example? Share it with others!
- Share conversions with classmates
- Help others understand fraction-decimal relationships
- Save examples for later reference
- Create practice problems for students