About this calculator
The Decimal to Fraction Calculator converts decimal values into simplified fractions. It is useful for measurements, percentages, school maths, recipes, and converting common decimals such as 0.75 into 3/4.
decimal to fraction calculator method
For terminating decimals, count decimal places, write the number over a power of 10, then simplify. For simple repeating decimals, algebra can remove the repeating part.
- 0.75 = 75/100 = 3/4
- 0.333...: let x = 0.333..., 10x - x = 3, so x = 1/3
How to use the decimal to fraction calculator
- Enter the decimal.
- Choose whether it is a terminating or simple repeating decimal.
- For a terminating decimal, count the decimal places.
- Write the value over 10, 100, 1000, or the matching power of 10.
- Simplify the fraction.
- Check the common decimal table if needed.
Worked examples
Convert 0.75
Input: 0.75
Calculation: 0.75 = 75/100; GCF is 25
Result: 3/4
Convert 0.125
Input: 0.125
Calculation: 0.125 = 125/1000; divide by 125
Result: 1/8
Terminating decimals
A terminating decimal has a fixed number of digits after the decimal point, such as 0.4, 0.25, or 0.875.
Repeating decimals
A repeating decimal has a digit or group of digits that continues forever. The calculator supports a simple repeating digit mode for common homework checks.
Learning and homework note
This calculator is for learning, checking, and general educational use. It shows the method so students can compare each step with their own working, but it should not replace learning the underlying fraction rules.
- Check that every denominator is not zero.
- Negative fractions can be written in more than one equivalent form.
- Rounding may affect decimal or percentage displays.
Frequently asked questions
Does this show the working?
Yes. The fraction calculators are designed to show the main steps, not just the final answer.
Does it simplify answers?
Yes. Fraction answers are reduced to lowest terms where simplification is part of the method.
Can denominators be zero?
No. A denominator of zero is undefined in fraction arithmetic.
Can I use negative fractions?
Yes, but pay attention to signs. The calculator normalises signs so the denominator stays positive.
Why might my teacher write the answer differently?
Equivalent fractions and mixed numbers can represent the same value. Check whether the question asks for improper fraction, mixed number, decimal, or simplest form.
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