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
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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:

  1. Divide the numerator by the denominator
  2. If the division doesn't end evenly, you'll get a repeating decimal
  3. 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:

  1. Write the decimal as a fraction with a denominator of 1
  2. Multiply both the numerator and denominator by 10 for each digit after the decimal point
  3. 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

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  • Share conversions with classmates
  • Help others understand fraction-decimal relationships
  • Save examples for later reference
  • Create practice problems for students