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Free Fraction Calculator

Add, subtract, multiply, or divide two fractions, automatically simplified, with every step shown.

100% Free No Signup Works on all devices

Built and fact-checked by the DocNectar team — see our editorial standards

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Key Features

Instant Calculation

Get accurate results in real time with our optimized algorithm.

Mobile Friendly

Fully responsive design. Works on all devices & screen sizes.

Privacy Focused

Your data stays on your device. We don't store any inputs.

100% Free

No hidden costs. This tool is completely free forever.

Adding and subtracting fractions requires a common denominator, while multiplying and dividing follow their own distinct rules — mixing these up is one of the most common sources of fraction errors.

This calculator applies the correct rule for whichever operation you choose and automatically simplifies the result.

How it works

Enter two fractions and choose an operation. The calculator applies the standard formula for that operation, then simplifies the result by dividing both the numerator and denominator by their greatest common divisor.

  1. Enter numerator 1.
  2. Enter denominator 1.
  3. Enter operation.
  4. Enter numerator 2.
  5. Enter denominator 2.
  6. Click Calculate to see your results.

Examples

Adding fractions with different denominators

1/2 + 1/3 = 3/6 + 2/6 = 5/6.

Who should use it

  • Checking fraction arithmetic homework step by step.
  • Combining measurements or recipe quantities given as fractions.

Industry applications

  • Mathematics education
  • Cooking, construction, and any field using fractional measurements

Advantages

  • Supports all four basic operations in one tool.
  • Automatically simplifies the result and shows the decimal equivalent.

Common mistakes to avoid

  • Adding or subtracting numerators and denominators straight across without finding a common denominator first.
  • Forgetting to flip (take the reciprocal of) the second fraction when dividing.

Best practices

  • Always simplify your final answer to lowest terms — an unsimplified fraction like 4/8 is mathematically correct but conventionally should be reduced to 1/2.

Tips

  • When dividing fractions, remember the shortcut "keep, change, flip": keep the first fraction, change division to multiplication, and flip the second fraction.

Frequently asked questions

Yes, with no signup and no limit on how many calculations you run.
A fraction's denominator defines the size of the "pieces" being counted — you can only add or subtract pieces of the same size, so both fractions must be rewritten with a shared denominator first.
Multiplying fractions just multiplies the numerators together and the denominators together directly. Dividing by a fraction is the same as multiplying by its reciprocal (flipped upside down) — neither operation requires matching denominators.
The calculator finds the greatest common divisor (GCD) of the resulting numerator and denominator, then divides both by it to reduce the fraction to its lowest terms.

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