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Decimal to Fraction Calculator
Convert decimal values to simplified fractions and mixed numbers with step-by-step explanations.
Results
Simplified Fraction:
Mixed Number:
Step-by-step:
Formula
To convert a decimal to a fraction:
- Write down the decimal divided by 1, like this: decimal / 1
- Multiply both top and bottom by 10 for every number after the decimal point.
- Simplify (or reduce) the fraction.
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Examples
- 0.75: 75/100 = 3/4
- 1.25: 125/100 = 5/4 or 1 1/4
- 0.125: 125/1000 = 1/8
FAQ
What is a repeating decimal?
A decimal number that has digits that repeat forever, such as 0.333...
How are mixed numbers represented?
Mixed numbers are written as a whole number and a proper fraction together, like 1 1/2.
Can I convert negative decimals?
Yes, the fraction will just be negative as well.
Is 0.5 the same as 1/2?
Yes, 0.5 means 5 out of 10, which reduces to 1 out of 2.