Decimal to Fraction Calculator
Convert a decimal into its simplest fraction form, such as 0.75 to 3/4 — perfect for school maths and carpentry.
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.
Last updated: January 2026
How this calculator is verified
Checked by True Calculator automated test suite on
- Formula verified against a published worked example in the automated test suite
- Edge cases (zero, negative, boundary and unit-mismatch inputs) covered by unit tests
The full verification method is on our how we verify page. Found an error? Tell us and we will re-check it.
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.
Compare these tools
- Percentage Calculator — Calculate percentages, percentage difference and percentage change instantly
- Rounding Calculator — Round any number to the nearest value, or up and down, to any decimal places
- Standard Form Calculator — Convert numbers to and from standard form (scientific notation) with one click
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