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

Comparing Fractions Calculator

Compare two fractions instantly to see which is greater, smaller, or if they are equal. Step-by-step cross-multiplication and common denominator proofs.

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 Comparing Fractions Calculator Method Works

To compare fractions, cross-multiply numerators by opposite denominators: compare (a × d) with (b × c). The larger product corresponds to the larger fraction.

Core Formula:
\(\frac{a}{b} \gtrless \frac{c}{d} \iff a \cdot d \gtrless b \cdot c\)

Key Rules & Steps:

  1. Multiply numerator of Fraction 1 by denominator of Fraction 2 (a × d).
  2. Multiply numerator of Fraction 2 by denominator of Fraction 1 (c × b).
  3. If a·d > b·c, then Fraction 1 > Fraction 2. If equal, they are equivalent.

Worked Practice Examples:

Problem: Compare 5/7 and 7/9
Result: 5/7 < 7/9
Cross products: 5 × 9 = 45 and 7 × 7 = 49. Since 45 < 49, 5/7 < 7/9.

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 is the easiest way to compare fractions?

Use the cross-multiplication shortcut: compare the numerator of each fraction multiplied by the other fraction's denominator.

Reviewed & updated: October 2026 Maintained by the OnlineResult Study Tools Team Report an issue
Sources & further reading:
โšก Quick Academic Access

Essential Calculators & Student Solvers

Free, 100% client-side educational solvers, Sarkari image resizers, and academic converters

Explore All 385+ Solvers

๐Ÿ“ท Photo, Sign & Docs

๐Ÿ“Š GPA & Academic Scores

โšก STEM & Science Solvers

๐ŸŽฏ Health & Statistics