Fraction Comparison Game
Educational fraction comparison game. Practice ordering and comparing fractions with visual feedback and immediate scoring.
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:
\(\frac{2}{3} = \frac{8}{12}, \quad \frac{3}{4} = \frac{9}{12}\)\(8 < 9 \Rightarrow \frac{8}{12} < \frac{9}{12}\)\(\frac{2}{3} < \frac{3}{4}\)