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Master Fraction Subtraction

Subtract fractions using a common denominator: convert each fraction, subtract the numerators, and simplify. Example: 3/4 − 1/4 = 2/4 = 1/2.

What is Fraction Subtraction?

Subtracting fractions using a common denominator

To subtract fractions, use a common denominator. Convert each fraction to an equivalent fraction with that denominator, subtract the numerators, and simplify. Example: 3/4 − 1/4 = 2/4 = 1/2.

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Common Denominator

Find a common denominator, convert both fractions, then subtract the numerators.

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Fraction Subtraction Rules

Key steps for subtracting fractions

Same Denominator

When denominators are the same, subtract the numerators and keep the denominator. Simplify if possible.

\frac{3}{4} - \frac{1}{4} = \frac{2}{4} = \frac{1}{2}
\frac{4}{5} - \frac{2}{5} = \frac{2}{5}

Different Denominators

Find a common denominator, convert each fraction, then subtract the numerators.

\frac{1}{2} - \frac{1}{4} = \frac{2}{4} - \frac{1}{4} = \frac{1}{4}
\frac{2}{3} - \frac{1}{6} = \frac{4}{6} - \frac{1}{6} = \frac{3}{6} = \frac{1}{2}

Fraction Subtraction Examples

Worked examples

Basic Examples

\frac{3}{4} − \frac{1}{4}\frac{1}{2}
\frac{1}{2} − \frac{1}{4}\frac{1}{4}
\frac{2}{3} − \frac{1}{6}\frac{1}{2}

Why Fraction Subtraction Matters

Subtracting fractions is needed whenever you remove a part from a whole or compare two fractional amounts.

Applications

Used in measurements, cooking, and problems involving difference of quantities.

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Fraction Subtraction Practice

Practice subtracting fractions with easy, medium, and hard levels. Optional negative fractions.

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Fractions Practice Hub

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

Fractions Practice Hub