How does the calculator find a common denominator?

It computes the Least Common Multiple (LCM) of the two denominators using the formula LCM(a, b) = a × b / GCD(a, b). Both fractions are then scaled to that common denominator before adding or subtracting.

How are results simplified?

After computing the raw result, the calculator divides both the numerator and denominator by their Greatest Common Divisor (GCD) using the Euclidean algorithm, reducing the fraction to its lowest terms.

What happens when I divide fractions?

Dividing by a fraction is the same as multiplying by its reciprocal. So a/b ÷ c/d becomes a/b × d/c. The tool shows this flip explicitly in the steps.

Can I enter negative fractions?

Yes. Enter a negative sign in the numerator field (e.g. −3) and the calculator handles the sign correctly throughout all steps.

What if the denominator is zero?

Division by zero is undefined. The tool will show an error and will not attempt a calculation.

Does the tool handle improper fractions?

Yes. Fractions where the numerator is larger than the denominator (e.g. 7/4) are fully supported. The simplified result is shown as an improper fraction; conversion to a mixed number is noted in the steps.

Fraction Calculator (Educational)

Name: Fraction Calculator (Educational)
Availability: InStock
Author: Nham Vu

Enter two fractions, pick an operation, and get the answer with a full step-by-step breakdown for students.

Enter Two Fractions

Fill in numerators and denominators, then pick an operation.

Fraction A

Fraction B

Quick Reference

Add / Sub: find LCM, scale, then add/subtract numerators.

Multiply: numerator × numerator, denominator × denominator.

Divide: multiply by the reciprocal of the second fraction.

Enter two fractions and click Calculate to see the result with steps.

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Summary

Enter two fractions, pick an operation, and get the answer with a full step-by-step breakdown for students.

How it works

Enter the numerator and denominator for each fraction.
Choose the operation: add, subtract, multiply, or divide.
Click Calculate to compute the result.
The step-by-step panel shows LCM (for +/−), converted fractions, the raw result, and the simplified answer.
Copy the final simplified fraction with one click.

Use cases

Checking homework answers with a full worked solution.
Learning how to find the least common denominator.
Understanding why dividing by a fraction means multiplying by its reciprocal.
Simplifying complex fractions step by step.
Teaching fraction arithmetic to middle-school students.
Verifying fraction problems from textbooks.
Practising mixed-number conversions and GCD simplification.
Building intuition for equivalent fractions.

Frequently Asked Questions

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Last updated: 2026-05-23 · Reviewed by Nham Vu