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Free comparing fractions calculator using cross multiplication, common denominator, and decimal methods. Compare fractions with step-by-step solutions for fraction operationsand mathematical reasoning. Perfect for students learning fraction concepts.
Last updated: February 2, 2026
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3/4
5/6
3/4 < 5/6
Cross Multiplication
Cross multiply: 3×6 = 18, 5×4 = 20
Fraction 1 as decimal:
0.750
Fraction 2 as decimal:
0.833
Method
Compare a×d vs b×c for a/b vs c/d
Example: 3/4 vs 5/6 → 3×6 = 18, 4×5 = 20 → 18 < 20 → 3/4 < 5/6
Method
Find LCM and convert both fractions
Example: 3/4 vs 5/6 → LCM = 12 → 9/12 vs 10/12 → 9 < 10 → 3/4 < 5/6
Method
Convert to decimals and compare
Example: 3/4 = 0.75, 5/6 ≈ 0.833 → 0.75 < 0.833 → 3/4 < 5/6
Example
1/2 cup vs 2/3 cup flour
Which is more? 1/2 < 2/3, so 2/3 cup is more
Example
15/20 vs 18/24 correct answers
Which is better? Both equal 3/4, so they're equal
Example
5/8 inch vs 3/4 inch
Which is longer? 5/8 < 3/4, so 3/4 inch is longer
Comparing 3/4 vs 5/6 using cross multiplication:
Cross Multiply
3×6 = 18, 4×5 = 20
Comparison
18 < 20
Result
3/4 < 5/6
Fraction comparison is a fundamental skill in mathematics that helps students understand the relative sizes of fractional values. Mastering these comparison methodsis essential for solving problems involving fractions, ratios, and proportional relationships in real-world applications.
This systematic approach ensures accurate fraction comparisons using multiple methods.
Each comparison method has its advantages: Cross multiplication is fastest for simple fractions, common denominator shows equivalent fractions clearly and works well for ordering multiple fractions, and decimal conversion is most intuitive for students learning fractions. The choice of method often depends on the complexity of the fractions and the context of the problem.
Need help with other fraction topics? Check out our mixed number calculator and percentage calculator.
Get Custom Calculator for Your PlatformFraction 1: 3/4
Fraction 2: 5/6
Method: Cross Multiplication
Final Result:
Cross Multiply
18 vs 20
Comparison
18 < 20
Result
3/4 < 5/6
3/4 = 9/12, 5/6 = 10/12
9 < 10, so 3/4 < 5/6
3/4 = 0.75, 5/6 ≈ 0.833
0.75 < 0.833, so 3/4 < 5/6
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