Fraction Calculator
Add, subtract, multiply, or divide two fractions and see the simplified fraction, mixed number, decimal, and calculation steps.
- fraction math calculator
- add fractions
- subtract fractions
- multiply fractions
- divide fractions
Status: initial
Results
Awaiting calculation
Calculate fractions with visible steps
This Fraction Calculator performs the four basic operations on two fractions, reduces the answer to lowest terms, and provides equivalent mixed-number and decimal forms.
When to use this fraction calculator
Use it to check fraction arithmetic for schoolwork, recipes, measurements, ratios, or any situation where the exact fractional answer matters more than a rounded decimal.
How fraction operations work
Addition and subtraction require equivalent denominators. Multiplication combines numerators and denominators directly. Division multiplies the first fraction by the reciprocal of the second. Every result is reduced using the greatest common divisor.
Variable explanations
Understand what each input and result means before calculating.
Numerator
The number above the fraction bar.
Denominator
The non-zero number below the fraction bar.
Operation
Addition, subtraction, multiplication, or division.
Lowest terms
A form where numerator and denominator share no factor above 1.
Mixed number
A whole number combined with a proper fraction.
Reviewed by the Calculator.org.in Editorial Team
Formula behavior, validation cases, explanatory examples, and cited sources are checked before publication. This review supports educational accuracy and is not a substitute for qualified professional advice.
Last reviewed: 2026-08-08
Formula guide
See the calculation logic, variable definitions, and practical meaning.
Add or subtract
a/b ± c/d = (ad ± bc) / bd
- b and d must be non-zero
- Reduce the final numerator and denominator
Cross multiplication creates equivalent fractions with a shared denominator.
Multiply
a/b × c/d = ac/bd
- Multiply across
- Cancel common factors when possible
The products are simplified to lowest terms.
Divide
a/b ÷ c/d = ad/bc
- c cannot be zero
- Invert the second fraction
Division by a fraction is multiplication by its reciprocal.
Worked examples
Follow realistic inputs through the calculation step by step.
Worked example
Add unlike fractions
- 12/3 + 3/4 = (8 + 9)/12.
- 2Result: 17/12 = 1 5/12.
Worked example
Multiply and simplify
- 14/9 × 3/8 = 12/72.
- 2Divide by 12 to get 1/6.
Worked example
Divide by a fraction
- 15/6 ÷ 2/3 = 5/6 × 3/2.
- 215/12 simplifies to 5/4 = 1 1/4.
Common mistakes
Avoid these common input and interpretation errors.
Adding denominators
For addition, create equivalent fractions; do not add denominators together.
Keeping a zero denominator
A denominator of zero is undefined and cannot be used.
Inverting the wrong fraction
When dividing, invert only the second fraction.
Stopping before simplification
Divide numerator and denominator by their greatest common divisor.
Frequently asked questions
Quick answers to the questions users ask most often.
Can the calculator use negative fractions?
What is a proper fraction?
What is an improper fraction?
Why must denominators be non-zero?
Does the result always simplify?
Can I enter decimal numbers?
References
Sources used to support the calculator guidance.
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Version history
A transparent record of calculator content updates.
- 1.0.0 · 2026-08-08
Initial release with four operations, simplification, mixed-number conversion, and worked steps.