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Math

Fraction Calculator

Add, subtract, multiply, or divide two fractions — simplified automatically.

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Simplified result

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Enter two fractions above

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Key features

  • Add, subtract, multiply, and divide two fractions
  • Automatically simplifies the result to lowest terms
  • Shows the decimal equivalent alongside the fraction
  • Handles negative numerators and denominators correctly

Why use this fraction calculator

  • Useful for students checking homework or exam prep
  • Faster and more reliable than manual cross-multiplication
  • No need to remember which operation needs a reciprocal (division)

A worked example

Adding 3/4 and 5/6 requires a common denominator: 3/4 becomes 9/12 and 5/6 becomes 10/12, giving 19/12 — which the calculator automatically presents as the simplified improper fraction alongside its decimal equivalent, 1.5833. Manually, finding that common denominator and simplifying the result is where most arithmetic mistakes happen.

Why simplification matters, not just the raw answer

An unsimplified fraction like 24/36 is mathematically correct but obscures the actual relationship the numbers represent — its simplified form, 2/3, is what most contexts (recipes, ratios, exam answers) actually expect. Automatically reducing to lowest terms avoids submitting a technically-right-but-poorly-formed answer.

Frequently asked questions

How do you add fractions with different denominators?

Convert both fractions to a common denominator first — multiplying each fraction's numerator and denominator by the other's denominator works for any pair — then add the numerators. This calculator does that automatically and simplifies the result.

How do you divide fractions?

Multiply by the reciprocal — flip the second fraction upside down, then multiply straight across. For example, 1/2 ÷ 1/3 becomes 1/2 × 3/1 = 3/2.

Why is my result always shown in lowest terms?

The calculator divides both the numerator and denominator by their greatest common divisor, so you always get the simplest equivalent fraction rather than something like 4/8 when 1/2 would do.