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Comparing Fractions
Learn strategies to determine which fraction is larger or smaller.
25 minGrade 6
Introduction
Being able to compare fractions helps us understand relative sizes and make decisions in real life.
Same Denominator
When denominators are equal, compare numerators directly.
Example
5/8 > 3/8 because 5 > 3
Same Numerator
When numerators are equal, the fraction with the smaller denominator is larger.
Example
3/4 > 3/5 because fourths are larger pieces than fifths
Cross Multiplication
Multiply across to compare: a/b vs c/d, compare a×d with b×c.
Example
2/3 vs 3/5: 2×5=10, 3×3=9. Since 10>9, 2/3 > 3/5
Key Takeaways
- 1Same denominator: larger numerator wins
- 2Same numerator: smaller denominator wins
- 3Use cross multiplication for different fractions
Practice Problems
Test your understanding with these questions
1
Which is larger: 4/7 or 5/7?
2
Which is larger: 2/5 or 2/3?