Fraction Comparison Game
Test your fraction comparison skills! Compare two fractions and determine which is greater. Choose your difficulty level, track your score and streak, and improve your understanding of fraction relationships.
Game Setup
Theory & Formula
Comparing Fractions
Comparing fractions helps you understand their relative sizes and is essential for ordering, operations, and real-world applications.
Methods for Comparing Fractions
- Common Denominator: Convert both fractions to the same denominator, then compare numerators.
- Cross Multiplication: Multiply the numerator of each fraction by the other fraction's denominator and compare the products.
- Decimal Conversion: Convert both fractions to decimals and compare the decimal values directly.
Example
Compare 2/3 and 3/4:
\(\text{Convert to common denominator: } \frac{2}{3} = \frac{8}{12}, \quad \frac{3}{4} = \frac{9}{12}\)\(\text{Compare: } 8 < 9 \Rightarrow \frac{8}{12} < \frac{9}{12}\)\(\text{Therefore: } \frac{2}{3} < \frac{3}{4}\)