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Decimal to fraction calculator

Convert a decimal number into a simplified fraction.

Continued fraction calculatorExpand a number into its continued fraction [a₀; a₁, a₂, …] and list the convergents — the best rational approximations at each step. Feed it a decimal, an exact fraction a/b, or a square root √k: rationals terminate, √k is periodic, and irrationals stream on to the term cap. Continued fractions give the closest fractions for a given size of denominator and reveal the hidden structure of numbers like the golden ratio and π.Egyptian fraction calculatorEvery proper fraction can be written as a sum of distinct unit fractions (1/2 + 1/3 …), the way ancient Egyptian scribes did. This runs Fibonacci's greedy algorithm and shows the decomposition.Fraction CalculatorAdd, subtract, multiply or divide two fractions and get the reduced result plus its decimal value.Multiple fraction calculatorAdd, subtract, multiply or divide any number of fractions in one go — not just two. Enter as many numerator/denominator rows as you like, pick the operation, and it chains them left to right and reduces the answer to lowest terms, with the decimal and mixed-number forms.Fraction simplifierReduce a fraction to its simplest form and see its decimal value.Percent to Fraction CalculatorConvert a percentage into its reduced fraction and equivalent decimal (e.g. 12.5% → 1/8).Comparing fractions calculatorWhich fraction is bigger? Enter two and it cross-multiplies to compare them exactly — no rounding — and shows both as decimals so you can see how close they are.Rounding calculatorRound a number to a chosen number of decimal places.

The Decimal to fraction calculator turns Decimal number into Fraction, instantly and for free. For instance, with Decimal number = 0.75 it returns Fraction = 3/4.

How to use it

  1. Enter your values: Decimal number.
  2. Read the result instantly: Fraction.

Frequently asked questions

What does the Decimal to fraction calculator actually compute?

It takes Decimal number and derives Fraction from them. The calculation is live as you type, so the result updates on every change.

What information do I need to provide?

A single value: Decimal number. Nothing else is required — no account, no file upload.

Can you show a worked example?

With Decimal number = 0.75, the calculator returns Fraction = 3/4. Those figures come from running this exact tool, so you can reproduce them by entering the same values.

When would I actually use this?

Reading a number written another way: a Roman numeral on a monument, a hexadecimal colour, a binary byte, or a fraction that needs reducing.

What is the most common mistake?

Assuming a decimal fraction survives a change of base. A tenth is exact in decimal and infinitely repeating in binary, which is why 0.1 + 0.2 is not 0.3 in most programming languages.

What is the difference between the Decimal to fraction calculator and the Continued fraction calculator?

This one returns Fraction; the Continued fraction calculator returns Continued fraction and Convergents. That is the whole difference — open the one whose figure you need.

Is there a tool for the next step?

Egyptian fraction calculator is the closest one after this: Every proper fraction can be written as a sum of distinct unit fractions (1/2 + 1/3 …), the way ancient Egyptian scribes did. This runs Fibonacci's greedy algorithm and shows the decomposition.

What else is worth having open alongside it?

Fraction Calculator and Multiple fraction calculator — they come up in the same task often enough to be worth a second tab.

Where do the figures come from, and how current are they?

Base conversion and number-theory results are exact. Roman numerals follow the standard subtractive form used since the Middle Ages, which is not the only one the Romans themselves used.

Further reading

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