Fraction Calculator

Add, subtract, multiply and divide fractions with step-by-step solutions and visual pie chart representation

Check Fraction Calculator

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Try:

Enter proper fractions, improper fractions, mixed numbers, or decimals, then review the exact arithmetic and simplified result. The visual check is useful when the answer should represent a practical share, recipe amount, or measurement.

How the result is built

Fraction Rules And Worked Example

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

Addition and subtraction need a common denominator. Multiplication and division work directly after converting mixed numbers.

Worked example

For 1/4 + 2/3, use denominator 12: 3/12 + 8/12 = 11/12. The result is already simplified because 11 and 12 have no common factor.

Assumptions and limits
  • Denominators cannot be zero.
  • Mixed numbers are converted before arithmetic is performed.
  • Decimal-to-fraction output depends on the decimal precision entered.
Common mistakes
  • Adding denominators instead of finding a shared denominator.
  • Dividing fractions without using the reciprocal of the second fraction.
  • Leaving a final answer unsimplified when lowest terms are expected.

Fraction Rules, Examples, And Mistakes

Calculator Task Context

Use this calculator for fraction addition, subtraction, multiplication, division, simplification, mixed numbers, and decimal conversions.

Formula And Method Used

The tool converts inputs to numerator and denominator form, performs the selected operation, then simplifies the result with the greatest common divisor.

Worked Example

  1. For 1/4 + 2/3, use a common denominator: (1*3 + 2*4) / (4*3).
  2. That gives 11/12, already in lowest terms.

Common Mistakes And Limits

  • Keep denominators nonzero.
  • Convert mixed numbers such as 2 3/4 to improper fractions before comparing intermediate steps.
  • When dividing, multiply by the reciprocal of the second fraction rather than dividing numerators and denominators separately.

Related Calculators

GCD CalculatorUse it to check the simplification factor.LCM CalculatorUse it to find smaller common denominators.Percentage CalculatorConvert fraction results into percent form.

When to use the fraction calculator

Use this page for fraction arithmetic, mixed-number operations, simplification, and decimal conversion. It is especially helpful when exact values matter more than rounded decimals, such as measurements, recipe scaling, classroom arithmetic, and proportional comparisons.

How to check the answer

Confirm that each denominator is valid, choose the intended operation, and compare the simplified result with the decimal preview. For addition or subtraction, the denominator in the work should be a valid common denominator for both fractions.

Related tools

Use the GCD Calculator to simplify by hand, the LCM Calculator to choose a common denominator, and the Percentage Calculator when the fraction needs to be read as a rate out of 100.