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Decimal to Fraction Converter

Convert a decimal to a fraction: type the decimal and get the fraction in simplest form, with the steps. For example, 0.75 = 75/100 = 3/4. Works for terminating decimals and repeating ones like 0.333... = 1/3.

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

Common Decimal to Fraction Conversions

Decimal Fraction Simplified
0.550/1001/2
0.2525/1001/4
0.7575/1003/4
0.22/101/5
0.44/102/5
0.125125/10001/8
0.375375/10003/8
0.625625/10005/8
0.875875/10007/8
0.11/101/10
0.333…repeating1/3
0.666…repeating2/3

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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Related Tools

Fraction to Decimal Converter

Convert fractions to their decimal form

Fraction Simplifier

Reduce any fraction to its simplest form

Frequently Asked Questions

Common questions about converting decimals to fractions

For a terminating decimal like 0.75: write it over a power of 10 (75/100), then simplify by dividing by the GCD to get 3/4. Count the decimal places to determine the denominator: 1 place = /10, 2 places = /100, 3 places = /1000, and so on.

Set x equal to the repeating decimal. Multiply by 10 (or 100, depending on the repeating block length) to shift one full cycle, then subtract the original equation. For example: x = 0.333..., so 10x = 3.333..., subtract to get 9x = 3, therefore x = 3/9 = 1/3.

0.5 = 1/2, 0.25 = 1/4, 0.75 = 3/4, 0.2 = 1/5, 0.125 = 1/8, 0.333... = 1/3, 0.666... = 2/3, 0.1 = 1/10, 0.625 = 5/8, 0.875 = 7/8.

Yes, the converter automatically reduces every result to its lowest terms by dividing both numerator and denominator by their Greatest Common Divisor (GCD). So 0.75 gives 3/4, not 75/100.

Decimals people convert most

Every one of these has its own page with the full working and a visual model.