Compare Fractions
Compare two or more fractions. Find which fraction is larger or smaller.
Compare fractions, mixed numbers, decimals, integers, or percentages to find which is larger or smaller.
and
Enter fractions (3/4), mixed numbers (1 1/2), decimals (0.75), integers (5), or percents (25%)
Quick examples:
How to Use
- Enter two or more fractions to compare
- Click "Add Another Fraction" for more
- Click "Compare Fractions"
- View the fractions ordered from largest to smallest
What is Compare Fractions?
Comparing fractions means determining which is larger, smaller, or if they're equal. This can be done by converting to decimals, finding a common denominator, or cross-multiplying. Comparing fractions is essential for cooking, measurements, and everyday decisions.
Formula
Methods to Compare Fractions:
1. Convert to decimals: a/b vs c/d → compare a÷b with c÷d
2. Common denominator: convert both to same denominator
3. Cross-multiply: a/b vs c/d → compare a×d with b×c
Examples
- 3/4 vs 2/3: 3/4 = 0.75, 2/3 ≈ 0.67 → 3/4 is larger
- 5/8 vs 7/12: Common den 24 → 15/24 vs 14/24 → 5/8 is larger
- 2/5 vs 3/7: Cross: 2×7=14, 5×3=15 → 3/7 is larger
FAQ
What's the fastest way to compare two fractions?
Cross-multiplication is often fastest: to compare a/b and c/d, calculate a×d and b×c. The fraction with the larger cross-product is the larger fraction.
How do I compare fractions with different denominators?
Find the LCM of the denominators, convert each fraction to an equivalent fraction with this common denominator, then compare the numerators.
Can I compare negative fractions?
Yes! Remember that -1/2 is greater than -3/4 because -0.5 > -0.75. Negative fractions closer to zero are larger.