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๐Ÿ“ Step-by-Step Math Solver LCD & GCF Simplified

Simplifying Fractions Calculator

Simplify and reduce any fraction to its simplest form. Find the Greatest Common Factor (GCF) of the numerator and denominator with detailed step-by-step reduction.

Operations: All-in-One Solver ➕ Adding Fractions ➖ Subtracting Fractions ✖️ Multiplying Fractions ➗ Dividing Fractions ✂️ Simplifying Fractions 🔢 Mixed Numbers 🔄 Fraction to Decimal 🔄 Decimal to Fraction ⚖️ Equivalent Fractions 📊 Comparing Fractions

๐Ÿ“ Step-by-Step Solution

How to Use the Fraction Calculator

  1. Pick a mode tab above the calculator: Arithmetic (+, −, ×, ÷), Simplify / Reduce, Fraction ↔ Decimal, Equivalent Fractions, or Compare.
  2. 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.
  3. Choose the operator (+, −, ×, ÷) between the fractions, and switch to "3 Fractions" if your expression has a third term.
  4. 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.
  5. 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 Simplifying Fractions Calculator Method Works

A fraction is in simplest form when the only common factor between the numerator and denominator is 1. Divide both by their Greatest Common Factor (GCF).

Core Formula:
\(\frac{a}{b} = \frac{a \div \gcd(a,b)}{b \div \gcd(a,b)}\)

Key Rules & Steps:

  1. Find the Greatest Common Factor (GCF / HCF) of the numerator and denominator.
  2. Divide both the numerator and denominator by the GCF.
  3. The resulting fraction is in lowest terms (irreducible form).

Worked Practice Examples:

Problem: Simplify 24/36
Result: 2/3
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24. Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36. GCF = 12. (24 ÷ 12)/(36 ÷ 12) = 2/3.

Explore Specialized Fraction & Academic Calculators

➕ Adding Fractions Free Online Solver → ➖ Subtracting Fractions Free Online Solver → ✖️ Multiplying Fractions Free Online Solver → ➗ Dividing Fractions Free Online Solver → ✂️ Simplifying Fractions Free Online Solver → 🔢 Mixed Numbers Free Online Solver → 🔄 Fraction to Decimal Free Online Solver → 🔄 Decimal to Fraction Free Online Solver → ⚖️ Equivalent Fractions Free Online Solver → 📊 Comparing Fractions Free Online Solver → ๐Ÿงฎ GCF & LCM Calculator Find LCD Denominators → ๐Ÿ“ˆ Percentage Calculator Fractions to Percent → ๐Ÿ“ Quadratic Formula Solver Algebra Equations →

Frequently Asked Questions (FAQs)

What does simplifying a fraction mean?

Simplifying a fraction means reducing it to its lowest terms where the numerator and denominator share no common factors other than 1.

How do you know when a fraction cannot be reduced further?

When the Greatest Common Factor (GCF) of the numerator and denominator is 1, or when either the numerator or denominator is a prime number that does not divide the other.

Reviewed & updated: October 2026 Maintained by the OnlineResult Study Tools Team Report an issue
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