Skip to content
OneKitly

Fraction Calculator

Add, subtract, multiply or divide two fractions and get the reduced result plus its decimal value.

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.Decimal to fraction calculatorConvert a decimal number into a simplified fraction.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.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).Partial Fraction Decomposition CalculatorBreaks a rational function into simple fractions, covering distinct linear factors, repeated factors and irreducible quadratics. The setup and the linear system solved for the coefficients are both shown, since that is the part being learned.Estimation calculator (rounding)The mental-maths trick, made explicit: round each number to one significant figure, do the operation, and compare the quick estimate with the exact answer and the error it carries.

The Fraction Calculator turns First numerator, First denominator, Operation, Second numerator, Second denominator into Result numerator, Result denominator, Decimal value, instantly and for free. For instance, with First numerator = 1, First denominator = 2, Operation = Add (+), Second numerator = 1 and Second denominator = 3 it returns Result numerator = 5, Result denominator = 6 and Decimal value = 0.833.

How to use it

  1. Enter your values: First numerator, First denominator, Operation, Second numerator, Second denominator.
  2. Read the result instantly: Result numerator, Result denominator, Decimal value.

Frequently asked questions

What does the Fraction Calculator actually compute?

It takes First numerator, First denominator, Operation, Second numerator and Second denominator and derives Result numerator, Result denominator and Decimal value from them. The calculation is live as you type, so the result updates on every change.

What information do I need to provide?

5 values: First numerator, First denominator, Operation, Second numerator and Second denominator. Nothing else is required — no account, no file upload.

Can you show a worked example?

With First numerator = 1, First denominator = 2, Operation = Add (+), Second numerator = 1 and Second denominator = 3, the calculator returns Result numerator = 5, Result denominator = 6 and Decimal value = 0.833. Those figures come from running this exact tool, so you can reproduce them by entering the same values.

What happens if I enter larger values?

It moves a lot. Using First numerator = 2, First denominator = 4, Operation = Subtract (−), Second numerator = 2 and Second denominator = 6 instead, Result numerator goes from 5 to 1 — which is why it is worth testing a few scenarios rather than trusting a single figure.

Which “Operation” option should I choose?

You can pick between « Add (+) », « Subtract (−) », « Multiply (×) » and « Divide (÷) ». Each one changes what the calculator works out, so switch and compare — the default is « Add (+) ».

What does it give for smaller values?

Scaled down to First numerator = 1, First denominator = 1, Operation = Add (+), Second numerator = 1 and Second denominator = 2, Result numerator comes out at 3. The relationship is worth checking at both ends before you rely on a single result.

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 Fraction Calculator and the Continued fraction calculator?

This one returns Result numerator and Result denominator; 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?

Decimal to fraction calculator is the closest one after this: Convert a decimal number into a simplified fraction.

Further reading

All guides
Fraction Calculator — OneKitly