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Decimal to Fraction Calculator
Convert a decimal into an exact simplified fraction and, when relevant, a mixed-number form.
Interactive calculator
Convert a decimal to a fraction
Turn a decimal value into its simplified fraction form and, when relevant, a mixed-number version.
Results
Simplified fraction
7/8
Original fraction
875/1000
Mixed number
0 7/8
Decimal input: 0.875
How to use it
- 01Enter the decimal number you want to convert.
- 02Review the exact fraction built from the decimal places.
- 03Use the simplified fraction or mixed-number view depending on what your worksheet or problem needs.
Result guide
- Original fraction shows the unsimplified denominator created from the decimal places.
- Simplified fraction reduces the result using the greatest common divisor.
- Mixed-number view is useful when the decimal is greater than one.
About this calculator
Decimal-to-fraction pages are useful in school math, measurements, and DIY contexts where a decimal result needs to be expressed in a fractional form.
The strongest version of the tool should show both the raw fraction and the simplified answer, because users often want to see how the conversion happened rather than only the final reduced form.
Frequently asked questions
Why do some decimals become large fractions before simplification?
Because the first step is to place the decimal over a power of 10 based on the number of decimal places, then reduce it afterward.
Does this work for negative decimals too?
Yes. The sign is preserved and applied to the final fraction result.
Why show mixed numbers as well?
Because many classroom and measurement problems prefer answers like 1 1/2 instead of 3/2.
Reviewed by Dr. Elena Rostova, MD, PhD
Medical Doctor & Clinical Nutrition Researcher
Reviews health index calculators, unit converter benchmarks, and mathematical models against WHO guidelines and peer-reviewed research.
Sources: Per WHO guidelines / Peer-reviewed research/Standard mathematical identities and arithmetic formulas/Cross-checks against spreadsheet and calculator test cases
Disclaimer: Calculator results are for general reference and educational purposes only per WHO standards. Health indexes and mathematical models are not a substitute for professional medical diagnosis, clinical nutrition, or certified trade advice.
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