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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:
- 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 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:
- 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.
Share Your Learning Journey
Found a helpful example? Share it with others!
- Share conversions with classmates
- Help others understand decimal-fraction relationships
- Save examples for later reference
- Create practice problems for students