Toolkit Shelf

Everyday Calculators

Fraction Calculator

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

Reviewed May 25, 2026EstimateFormula shown

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.

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

  • Quick simplified fraction from first fraction, second fraction and operation.
  • Quick everyday math with the result and formula in one place.
  • Shopping, date, time, unit, school, or household comparisons.
  • A fast check before moving the numbers into a spreadsheet.

Before relying on it

Check first

  • Entering first fraction, second fraction and operation from different time periods or scenarios.
  • Mixing units, dates, or original values across the same calculation.
  • Rounding early and then using the rounded number in another step.
  • Copying a result without checking whether the inputs match the real-world question.

Benchmarks

How to read the result

The calculator is a decision aid, not a fixed rule. Use the output to compare scenarios and document your assumptions.

Same denominatorEasier

Add or subtract numerators directly when denominators match.

Different denominatorCommon denominator

Convert fractions to a shared denominator before adding or subtracting.

Improper fractionMixed number

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

Calculator accuracy

Methodology and assumptions

The formula, inputs, example, and limitations are shown so the result is checkable, not just a number in a box.

Formula

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

Inputs used

First fraction, Second fraction, Operation

Limitations

Results are estimates for quick planning and should be checked before important financial, legal, tax, health, or business decisions.

Last reviewed

May 25, 2026

Cite this page

Toolkit Shelf. Fraction Calculator. Retrieved May 25, 2026, from 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.