Comparing Fractions
Comparing fractions means determining which is larger, smaller, or if they're equal. There are several methods to compare fractions.
Method 1: Convert to Decimals
Divide each fraction to get decimals, then compare the decimals.
Example: 2/3 = 0.667, 3/4 = 0.75, so 3/4 > 2/3
Method 2: Common Denominator
Convert to equivalent fractions with the same denominator, then compare numerators.
Example: 2/3 = 8/12, 3/4 = 9/12, so 9/12 > 8/12
Method 3: Cross Multiply
For a/b vs c/d, compare ad vs bc.
Example: 2/3 vs 3/4 -> 2x4=8 vs 3x3=9, so 3/4 is larger
Special Cases
- Same numerator: Smaller denominator = larger fraction
- Same denominator: Larger numerator = larger fraction
- One is greater than 1: That one is larger (if other is less than 1)
Examples
1/2 vs 1/3: Same numerator, so 1/2 > 1/3
3/4 vs 5/4: Same denominator, so 5/4 > 3/4
Quick Tips
- Double-check your inputs for accurate results
- Use parentheses to clarify order of operations
- Results are rounded — consider significant figures
Frequently Asked Questions
Convert to decimals, find common denominators, or cross-multiply.
3/4 is bigger (0.75 vs 0.667).
The one with the smaller denominator is larger.
The one with the larger numerator is larger.
Yes, 1/2 (0.5) is bigger than 1/3 (0.333...).