Decimal to Fraction Calculator
Convert a decimal into its simplest fraction form, such as 0.75 to 3/4.
Converts a terminating decimal into its simplest fraction form, e.g. 0.75 becomes 3/4.
Fraction
3 / 4
of 0.75
Lowest terms
Simplified
Divided by the greatest common divisor
Write the decimal over its place value (tenths, hundredths…), then reduce. 0.25 = 25/100 = 1/4, and 1.5 = 15/10 = 3/2.
Decimal to Fraction Calculator on True Calculator gives you an instant, accurate answer with no sign-up and no app install. Convert a decimal into its simplest fraction form, such as 0.75 to 3/4. Every result shows the formula and a worked example so you can verify the calculation yourself, and all values are computed in your own browser — your numbers never leave your device.
Popular uses: decimal to fraction calculator · decimal to fraction converter · terminating decimal to fraction
Reviewed by the True Calculator team · Last updated: August 2026
How We Calculate
This calculator uses standard mathematical formulas — the same ones taught in school and used in exams — verified by our team. All calculations are performed instantly in your browser using JavaScript, so no data is sent to any server.
The formulas follow standard mathematical definitions and conventions used in textbooks and by educational boards. Results are rounded transparently and shown with the exact formula on this page.
When to Use This Calculator
Use the decimal to fraction calculator whenever a decimal must become an exact part-of-a-whole number — carpentry and tailoring measurements, cooking weights, fuel quantities, school arithmetic problems or shop measurements in fractional units. Indian carpenters and tailors work in fractions of a metre, and converting their digital scale readings back to the fractions clients understand removes guesswork. Students converting decimals to fractions for exam answers verify their simplification instantly, and teachers use it to check answer keys. The calculator reduces by the GCD automatically, so the fraction always lands in lowest terms with small, readable numbers. Because it handles values above one as improper fractions and keeps the place-value logic visible, it covers the full decimal-to-fraction syllabus in one step.
How to Use This Calculator
- Step 1: Enter a decimal value such as 0.75.
- Step 2: The calculator writes it over its place value — tenths, hundredths, thousandths.
- Step 3: Read the fraction reduced to lowest terms by the greatest common divisor.
- Step 4: Use the result for measurements, recipes or money expressed as parts of a whole.
Worked Example
A carpenter in Surat needs 0.75 metres of a board and wants it as a fraction of a metre. Entering 0.75 returns 3/4, since 0.75 = 75/100 and the GCD of 75 and 100 is 25. Fabric of 1.5 metres is 3/2 in fraction form, and 0.625 metres is 5/8. A petrol purchase of 2.4 litres becomes 12/5. Every answer is reduced automatically, so 0.25 appears as 1/4 rather than 25/100.
Tips and Common Mistakes
- •Tip 1: A denominator of 1 means the decimal was a whole number — the fraction is simply that number over 1.
- •Tip 2: Use the fraction form when measurements and recipes are quoted in halves, quarters and eighths.
- •Tip 3: The reduction step is automatic, so the result is always in the lowest terms examiners expect.
- ✗Mistake 1: Assuming every decimal becomes a nice fraction — repeating decimals like 0.333… need infinite denominators and are outside this tool's scope.
- ✗Mistake 2: Forgetting that values above 1 become improper fractions such as 3/2, which are correct and useful.
Frequently Asked Questions
How do I convert a decimal to a fraction?
Write the decimal over its place value and reduce: 0.75 = 75/100, which simplifies to 3/4. The calculator handles the reduction automatically and always returns the simplest form.
Can the calculator convert decimals greater than 1?
Yes. A decimal like 2.5 becomes the improper fraction 5/2 — the same value, just written as a fraction. The calculator also converts whole numbers like 4 into 4/1.
What about repeating decimals like 0.333...?
For a value typed as 0.333, the calculator converts the exact digits you entered, giving 333/1000. True repeating decimals require their own algebraic method, but entering more digits gives a closer fraction.
Why is decimal to fraction conversion taught in Indian schools?
Because fractions are exact while decimals can be rounded. In Class 6 and 7 students convert decimals to fractions to compare values and perform exact arithmetic, and the skill is used in measurements like 0.625 inches becoming 5/8.
Is the fraction always in lowest terms?
Yes, the calculator divides numerator and denominator by their greatest common divisor before showing the result, so you never have to simplify it yourself.
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