Fraction Calculator

Add, subtract, multiply or divide fractions and simplify the result. Enter your own values below to see simplified fraction and check the method behind it.

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Your inputs

Change the example values to match your situation.

Your result

Let’s work it out.

Fill in your inputs and select Calculate.
Your result and breakdown will appear here.

How this calculator works

Add/subtract using a common denominator; multiply numerators and denominators; divide by the reciprocal. Reduce by the greatest common divisor.

What is Fraction Calculator?

Fraction Calculator helps you add, subtract, multiply or divide fractions and simplify the result.

The main result is simplified fraction, with a breakdown of decimal value. The formula, example and assumptions below explain how to interpret it.

How to use Fraction Calculator

Use the example to get familiar with the form, then enter your own figures. Any rates in the example are illustrative. Check the field labels and units before calculating.

  1. Gather first numerator, first denominator, operation, second numerator and second denominator. Use values from the same situation or reporting period.
  2. Replace the example first numerator with your own value, then complete the other fields. Check the displayed units and each selected option.
  3. Select Calculate and read simplified fraction with its result breakdown. Change one input and calculate again to compare a second scenario. Reset restores the original example.
  • Enter first numerator, at least -1000000. Use a whole number.
  • Enter first denominator, at least -1000000. Use a whole number.
  • Choose operation from Add, Subtract, Multiply and Divide.
  • Enter second numerator, at least -1000000. Use a whole number.
  • Enter second denominator, at least -1000000. Use a whole number.

Fraction Calculator: a worked example

With the inputs below, the result is 5/6 (simplified fraction). Follow the example, then replace these illustrative values with your own.

Example inputs and output
Input or outputExample value
First numerator1
First denominator2
OperationAdd
Second numerator1
Second denominator3
Simplified fraction5/6
Decimal value0.833333

Understanding the Fraction result

Read simplified fraction alongside decimal value. These describe different parts of the same calculation.

Displayed results use a readable number of decimal places. When checking a result by hand, keep extra precision until the last step. To compare scenarios, change one input at a time and keep the others fixed.

  • Example Decimal value: 0.833333

Fraction Calculator: assumptions and common mistakes

A useful estimate starts with the right inputs. Check the following assumptions and limits before applying the result to your situation.

  • Check the base value, sample definition and chosen operation. Display rounding should come after the calculation.

For wider guidance, visit NIST statistical handbook. The formula and scope of this specific tool are stated on this page.

Fraction Calculator FAQs

What does Fraction Calculator calculate?

Fraction Calculator helps you add, subtract, multiply or divide fractions and simplify the result. Its main output is simplified fraction.

What inputs do I need for Fraction Calculator?

You need first numerator, first denominator, operation, second numerator and second denominator. Use the field labels and units to match your figures to the formula.

Which formula does Fraction Calculator use?

Add/subtract using a common denominator; multiply numerators and denominators; divide by the reciprocal. Reduce by the greatest common divisor.

What is a worked example for Fraction Calculator?

Example inputs: First numerator: 1; First denominator: 2; Operation: Add; Second numerator: 1. Keep the remaining inputs as shown in the worked-example table. The result is 5/6 (simplified fraction).

How should I enter first numerator?

Enter first numerator, at least -1000000. Use a whole number.

How do I choose operation?

Choose operation from Add, Subtract, Multiply and Divide. The example uses Add; replace it if your circumstances differ.

How should I read simplified fraction?

Read simplified fraction alongside decimal value. These describe different parts of the same calculation.

Why might my Fraction Calculator result differ from my records?

Check the base value, sample definition and chosen operation. Display rounding should come after the calculation. Differences in entered values, units or rounding can also change the comparison.

Can I compare two scenarios in Fraction Calculator?

Yes. Note your first simplified fraction, change first numerator or another input, and select Calculate again. Editing a field clears the old result so it is not mistaken for a new calculation.

Is Fraction Calculator free, and where are my inputs calculated?

This calculator is free to use without signing in. Its formula runs in your browser; calculator inputs are not sent to a calculation API. The inputs reset to the example values when you reset the form or start a fresh page.