Fraction Calculator
Add, subtract, multiply, or divide two fractions and get the simplified result instantly.
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How to use this calculator
- 1
Enter the numerator and denominator of the first fraction.
- 2
Select the operation: add, subtract, multiply, or divide.
- 3
Enter the numerator and denominator of the second fraction.
- 4
The result is automatically simplified to lowest terms.
Frequently asked questions
How do you add fractions?
To add fractions, find a common denominator, convert both fractions, then add the numerators. Example: 1/2 + 1/3 = 3/6 + 2/6 = 5/6.
How do you multiply fractions?
Multiply numerators together and denominators together. Example: 2/3 × 3/4 = (2×3)/(3×4) = 6/12 = 1/2.
How do you divide fractions?
Multiply the first fraction by the reciprocal of the second. Example: 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6.
What is simplifying a fraction?
Dividing the numerator and denominator by their greatest common divisor (GCD). Example: 6/8 — GCD is 2 — simplified to 3/4.
Fractions: operations and simplification
How to use the fraction
Use this fraction to dd, subtract, multiply, or divide two fractions and get the simplified result instantly. Enter your values above and get your result in seconds. The tool is free, works on all devices, and keeps your data private — nothing is stored or shared.
How the fraction works
The fraction calculator uses standard formulas used in mathematics, science, and engineering. Enter your inputs, and the tool calculates the result instantly in your browser. No server-side processing means your data stays on your device. Results update in real time as you change inputs.
Four fraction operations
Addition/subtraction: find common denominator, add/subtract numerators. Multiplication: multiply straight across. Division: multiply by the reciprocal. Every result should be simplified by dividing by the GCD of numerator and denominator.
Finding the GCD
The Greatest Common Divisor (GCD) is the largest number that divides both numerator and denominator evenly. Find it using the Euclidean algorithm: repeatedly replace the larger number by the remainder of dividing larger by smaller, until remainder is 0.
Mixed numbers vs improper fractions
An improper fraction has numerator ≥ denominator (e.g. 7/4). A mixed number combines a whole number and proper fraction (1¾). Convert improper to mixed: 7 ÷ 4 = 1 remainder 3, so 1¾. Convert mixed to improper: 1¾ = (1×4 + 3)/4 = 7/4.
Fraction: how it works
Built on well-established mathematical principles, this tool delivers accurate results for students, researchers, and professionals. Enter your values and get instant clarity without specialist software or manual arithmetic.
Who uses this tool?
Teachers, students, engineers, and data analysts use it to verify calculations, check homework, and solve problems faster. It is intuitive enough for beginners while comprehensive enough for professional use.
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