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Master Simplify Fractions

Reduce a fraction to lowest terms by dividing the numerator and denominator by their greatest common divisor (GCD). Example: 6/8 = 3/4.

What is Simplifying Fractions?

Reducing to lowest terms

Simplifying a fraction means writing it in lowest terms: the numerator and denominator have no common factor greater than 1. Divide both by their GCD. Example: 6/8 = 3/4 (dividing by 2).

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GCD

Find the greatest common divisor of numerator and denominator, then divide both by it.

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Simplify Fractions Rules

Key steps for reducing to lowest terms

Greatest Common Divisor

Find the GCD of the numerator and denominator. Divide both by the GCD to get lowest terms.

\frac{6}{8:} GCD(6,8)=2 → \frac{3}{4}
\frac{12}{18:} GCD(12,18)=6 → \frac{2}{3}

Lowest Terms

When the GCD is 1, the fraction is in lowest terms. Example: 3/4 is already simplified.

\frac{4}{9} is already in lowest terms

Simplify Fractions Examples

Worked examples

Basic Examples

\frac{6}{8}\frac{3}{4}
\frac{12}{18}\frac{2}{3}
\frac{10}{15}\frac{2}{3}

Why Simplifying Fractions Matters

Simplified fractions are easier to compare, add, and use. Standard form for answers is lowest terms.

Applications

Used after addition, subtraction, multiplication, and in final answers everywhere.

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Simplify Fractions Practice

Practice simplifying fractions to lowest terms with easy, medium, and hard levels.

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Fractions Practice Hub

All fraction practice types in one place: addition, subtraction, conversion, simplify, compare, and more.

Fractions Practice Hub