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Master Fraction Addition

Add two or more fractions by finding a common denominator, converting each fraction, then adding the numerators. Simplify the result to lowest terms. Example: 1/2 + 1/4 = 2/4 + 1/4 = 3/4.

What is Fraction Addition?

Adding fractions using a common denominator

To add fractions, you need a common denominator. Convert each fraction to an equivalent fraction with that denominator, add the numerators, and simplify the result to lowest terms. For example, 1/2 + 1/4 = 2/4 + 1/4 = 3/4.

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Common Denominator

Find a common denominator (often the LCM of the denominators), then add the numerators.

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Fraction Addition Rules

Key steps for adding fractions

Same Denominator

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

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

Different Denominators

Find a common denominator (e.g. LCM), convert each fraction, then add the numerators.

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

Fraction Addition Examples

Worked examples

Basic Examples

\frac{1}{2} + \frac{1}{4}\frac{3}{4}
\frac{1}{3} + \frac{1}{6}\frac{1}{2}
\frac{2}{5} + \frac{1}{5}\frac{3}{5}

Why Fraction Addition Matters

Adding fractions is essential for measurements, cooking, and many real-world problems where quantities are expressed as fractions.

Applications

Used in recipes, construction, and any situation where you combine parts of a whole.

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Fraction Addition Practice

Practice adding 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