Decimal to Fraction Converter

Convert any decimal to its fraction representation with our interactive converter. See step-by-step solutions, understand how decimals relate to fractions, and learn about terminating vs. non-terminating decimals. Perfect for students learning about decimal representations of fractions.

Quick Tips

  • To convert a decimal to a fraction, write it 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 to get the final answer
  • For repeating decimals, a more advanced method is needed
  • Use the share button to save and share your conversions with others

Understanding Decimal to Fraction Conversion

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 example, to convert 0.75 to a fraction: 0.75 = 0.75/1 = 75/100 = 3/4 (simplified).

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.

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