Simplifying Fractions

Rules for reducing fractions using GCD — with examples and an interactive trainer.

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Simplifying Fractions — Key Points

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Frequently Asked Questions

How do you simplify fractions?

Find the GCD of the numerator and denominator, then divide both by the GCD. For example: 12/18 → GCD=6 → 2/3.

What is a fraction in lowest terms?

A fraction in lowest terms is one where the GCD of the numerator and denominator equals 1. For example, 3/7 is already fully simplified.

Why simplify fractions?

Simplified fractions are easier to compare and work with. The fully reduced form is the standard way to write a final answer.