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Master Fraction Mix

Practice mixed operations (+, −, ×, ÷) with fractions in one expression. Apply the correct order of operations: multiplication and division before addition and subtraction.

What is Fraction Mix?

Mixed operations with fractions

Fraction mix combines addition, subtraction, multiplication, and division in one expression. Apply the correct order of operations: multiplication and division before addition and subtraction. You can also turn on "Include negatives" for signed fractions.

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Order of Operations

Apply × and ÷ before + and −. Simplify step by step.

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Fraction Mix Rules

Order of operations and techniques

Order of Operations

Do multiplication and division first (left to right), then addition and subtraction (left to right).

\frac{1}{2} + \frac{1}{4} × 2 = \frac{1}{2} + \frac{1}{2} = 1
\frac{3}{4} − \frac{1}{2} ÷ 2 = \frac{3}{4} − \frac{1}{4} = \frac{1}{2}

Mixed Operations

Use fraction addition, subtraction, multiplication, and division rules as needed. Simplify at each step.

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

Fraction Mix Examples

Worked examples

Basic Examples

\frac{1}{2} + \frac{1}{4} × 21
\frac{3}{4} − \frac{1}{2} ÷ 2\frac{1}{2}
\frac{1}{3} × \frac{3}{4} + \frac{1}{4}\frac{1}{2}

Why Fraction Mix Matters

Real-world problems often combine multiple fraction operations. Practicing mix builds fluency and prepares you for algebra.

Applications

Used in recipes, budgeting, and any multi-step problem involving fractions.

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Practice with our infinite generator and get instant feedback

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Fraction Mix Practice

Practice mixed fraction operations 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