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Fraction Calculator

Use this fraction calculator to solve common fraction math and see the simplified fraction, mixed number, and decimal result.

Method and assumptions documentedFree toolAssumptions visible

Live calculator

Fraction calculator

Simplified fraction3/4

The result reduced by the greatest common divisor.

Decimal0.75

Fraction result expressed as a decimal.

Mixed number3/4

Helpful when the numerator is larger than the denominator.

Use this as a transparent math check. Percent, average, and fraction results can change if the denominator, original value, count, or rounding choice changes.

Quick answer

Fraction Calculator: what it calculates

Fraction Calculator calculates simplified fraction from first fraction, second fraction, and operation. The visible formula is a/b + c/d = (ad + bc) / bd; a/b x c/d = ac / bd.

ResultSimplified fraction
InputsFirst fraction, Second fraction, Operation
FormulaFraction operation formulas

Formula

Fraction operation formulas

a/b + c/d = (ad + bc) / bd; a/b x c/d = ac / bd

The result is simplified by dividing numerator and denominator by their greatest common divisor.

How to use

Steps

  1. Choose add, subtract, multiply, or divide.
  2. Enter the numerator and denominator for both fractions.
  3. Read the simplified fraction and decimal result.
  4. Use the mixed number when the result is greater than one whole.

Example

Sample calculation

First fraction1/2
Second fraction1/4
Result3/4

Calculator use

Best for

  • Use this fraction calculator to solve common fraction math and see the simplified fraction, mixed number, and decimal result.
  • Checking everyday percent, change, average, median, fraction, and decimal math before copying a result into another task.
  • Teaching, homework, shopping, reporting, budgeting, or spreadsheet checks where the formula matters as much as the number.
  • Comparing values only after confirming the denominator, original value, count, or operation matches the question.

Before relying on it

Check first

  • Using the wrong denominator, original value, count, or operation for the math question being asked.
  • Rounding the result early and then reusing that rounded value in a second calculation.
  • Comparing an average, percentage, or fraction without checking whether outliers, zero values, or missing entries change the meaning.

Details

What to know before using the result

Scenario inputsfirst fraction, second fraction, and operation

Keep first fraction and second fraction aligned to the same scenario so simplified fraction represents a consistent calculation.

Method checkFraction operation formulas

The tool applies a/b + c/d = (ad + bc) / bd; a/b x c/d = ac / bd to the entered values, then keeps simplified fraction, examples, assumptions, and limits visible for review.

Benchmarks

How to read the result

Same denominator: Easier.

Add or subtract numerators directly when denominators match.

Different denominator: Common denominator.

Convert fractions to a shared denominator before adding or subtracting.

Improper fraction: Mixed number.

A numerator larger than the denominator can also be written as a mixed number.

Calculator accuracy

Methodology and assumptions

Formula

a/b + c/d = (ad + bc) / bd; a/b x c/d = ac / bd

Inputs used

First fraction, Second fraction, Operation

Limitations

Core math pages show standard formulas, but interpretation still depends on choosing the right denominator, operation, comparison period, and rounding point.

Review record

Catalog QA baseline on June 6, 2026. This date marks the catalog-wide automated and editorial QA baseline, not a tool-specific expert review.

Cite this page

Toolkit Shelf. Fraction Calculator. https://toolkitshelf.com/tools/fraction-calculator

FAQ

Common questions

How do I add fractions?

Use a common denominator, add the adjusted numerators, then simplify the result.

How do I multiply fractions?

Multiply the numerators together and the denominators together, then simplify.

What is a simplified fraction?

A simplified fraction has the numerator and denominator reduced as far as possible.

Why do fractions need a common denominator?

Addition and subtraction need the same denominator because the pieces must represent equal-sized parts before they can be combined.

When should I use the decimal result?

Use the decimal when comparing sizes, entering spreadsheet values, or converting a fraction into a measurement-friendly number.