Fraction Calculator
Add, subtract, multiply & divide fractions — with step-by-step solutions
What is Fraction Calculator?
The Fraction Calculator is an educational and practical math tool that performs arithmetic operations on fractions — addition, subtraction, multiplication, and division — and shows the full step-by-step working so you understand how the answer was reached.
When adding or subtracting fractions, the calculator finds the lowest common denominator (LCD), converts both fractions, and then combines numerators. For multiplication, it multiplies numerators and denominators separately. For division, it applies the standard rule of multiplying by the reciprocal of the second fraction. In all cases the result is automatically reduced to its simplest form using the greatest common divisor (GCD).
This tool is ideal for students learning fractions in school, parents helping with homework, or anyone who needs a quick and accurate fraction result with an explanation. It also handles mixed numbers, converting them to improper fractions before computing, and converts results back to mixed number form where appropriate. Whether you are solving homework problems or doing practical calculations like adjusting recipe ratios, this calculator makes fractions straightforward.
How to Use Fraction Calculator
- Enter the first fraction
Type the numerator and denominator of your first fraction. Mixed numbers are accepted and converted automatically.
- Choose the operation
Select addition, subtraction, multiplication, or division from the operation selector.
- Enter the second fraction
Input the numerator and denominator of the second fraction or mixed number.
- View the result and steps
See the simplified answer and a full breakdown of each step taken to reach the result.
Key Benefits
Every calculation shows its full working — LCD finding, conversion, and simplification — so you learn the process.
Results are always reduced to the lowest terms using the greatest common divisor so answers are clean.
Enter values like 2 3/4 and the calculator converts to improper fractions and back automatically.
Answers appear immediately without page reloads or waiting, making it fast to work through multiple problems.
Frequently Asked Questions
It divides both the numerator and denominator by their greatest common divisor (GCD), which is computed using the Euclidean algorithm, to produce the simplest equivalent fraction.
Yes. Enter a negative numerator to represent a negative fraction. For example, -3 over 4 represents negative three quarters.
A mixed number combines a whole number and a proper fraction, like 1 1/2. The calculator accepts mixed numbers and converts them to improper fractions (3/2) before computing.
The calculator finds the lowest common denominator (LCD) of both fractions, scales each numerator accordingly, then adds the numerators before simplifying the result.