Equivalent Fractions Calculator

How to Use the Fraction Calculator

Pick a mode tab above the calculator: Arithmetic (+, −, ×, ÷), Simplify / Reduce, Fraction ↔ Decimal, Equivalent Fractions, or Compare.

Enter your fractions in the stacked numerator and denominator boxes, and tick "Include Whole Numbers" if you want to type mixed numbers like 1 ¾.

Choose the operator (+, −, ×, ÷) between the fractions, and switch to "3 Fractions" if your expression has a third term.

Press "Calculate Steps" to see the instant answer badge, then read the step-by-step working below, which shows the LCD setup, GCF reduction, mixed number, decimal, and percentage forms.

Use the operation pills under the title (or the links below the guide) to open a dedicated page for a single skill, such as adding fractions, simplifying fractions, or comparing fractions.

How the Equivalent Fractions Calculator Method Works

Equivalent fractions represent the same portion of a whole. Multiply or divide both the numerator and denominator by the same non-zero integer k.

Core Formula:

\(\frac{a}{b} = \frac{a \cdot k}{b \cdot k} \quad (k \neq 0)\)

Key Rules & Steps:

Choose an integer multiplier k (e.g., 2, 3, 4, 5).
Multiply both numerator and denominator by k.
Verify equivalence by cross-multiplying: a × (b·k) = b × (a·k).

Worked Practice Examples:

Problem: Equivalent fractions for 3/5

Result: 6/10, 9/15, 12/20, 15/25

Multiply by 2: 6/10; multiply by 3: 9/15; multiply by 4: 12/20; multiply by 5: 15/25.

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Frequently Asked Questions (FAQs)

What are equivalent fractions?

Equivalent fractions are different fractions that name the same number or equal amount, such as 1/2, 2/4, 3/6, and 4/8.

How do you test if two fractions are equivalent?

Cross-multiply: if a/b and c/d are equal, then a × d must equal b × c.

Fraction to Decimal

Decimal to Fraction

📝 Step-by-Step Solution

How to Use the Fraction Calculator

How the Equivalent Fractions Calculator Method Works

Key Rules & Steps:

Worked Practice Examples:

Explore Specialized Fraction & Academic Calculators

Frequently Asked Questions (FAQs)

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Fraction to Decimal

Decimal to Fraction

📝 Step-by-Step Solution

🧭 How to Use the Fraction Calculator

How the Equivalent Fractions Calculator Method Works

Key Rules & Steps:

Worked Practice Examples:

Explore Specialized Fraction & Academic Calculators

Frequently Asked Questions (FAQs)

Essential Calculators & Student Solvers

📷 Photo, Sign & Docs

📊 GPA & Academic Scores

⚡ STEM & Science Solvers

🎯 Health & Statistics

How to Use the Fraction Calculator