Fraction Calculator
Add, subtract, multiply and divide fractions with step-by-step solutions.
About This Tool
The TulQR Fraction Calculator handles all four arithmetic operations on fractions — addition, subtraction, multiplication, and division — and always returns the result in its simplest form, with a step-by-step breakdown of the calculation.
How Fraction Arithmetic Works
Adding and subtracting fractions requires a common denominator. The tool finds the least common denominator (LCD) to keep numbers as small as possible, converts both fractions, performs the operation, and then simplifies the result using the greatest common divisor (GCD).
Multiplying fractions is simpler: multiply the numerators together and the denominators together, then simplify. No common denominator needed.
Dividing fractions is done by multiplying the first fraction by the reciprocal of the second: flip the second fraction and multiply. The tool handles this automatically.
The step-by-step display helps students understand the process rather than just getting an answer — making this tool useful for learning, not just computing.
Frequently Asked Questions
Does it simplify automatically?
Yes. The result is always shown in its simplest (lowest-terms) form, using GCD reduction.
Can I use negative fractions?
Yes — enter a negative numerator. The calculator handles the sign correctly and will simplify the result.
What does 'LCD' mean?
LCD stands for Least Common Denominator — the smallest number that is a multiple of both denominators. It is needed for adding and subtracting fractions.
Can it handle whole numbers?
Yes — enter the whole number as the numerator with 1 as the denominator (e.g., 3/1 for the number 3).