Which is bigger — three quarters or two thirds?
About this calculator
Which is bigger — three quarters or two thirds? Cross multiply: 3×3 = 9 and 4×2 = 8. Since 9 > 8, three quarters wins without converting to decimals.
Enter two fractions. The calculator simplifies internally, compares cross products, and states greater, less, or equal.
Useful for ranking test scores, recipe ratios, and probability comparisons. Simplify first with the [[simplify-fractions]] calculator. View decimal values via [[fraction-to-decimal]]. Add mixed amounts with the [[mixed-numbers]] calculator.
Common uses
- Decide which discount fraction is better (3/5 vs 5/8)
- Rank student scores given as fractions
- Verify cross-multiplication homework
- Compare recipe ratios without a decimal converter
Frequently asked questions
Which is larger: 3/4 or 2/3?
3/4. Cross multiply: 3×3 = 9 and 4×2 = 8. Nine is greater, so three quarters is larger.
What if cross products are equal?
The fractions are equivalent — like 1/2 and 2/4 after simplification.
Does this work with negative fractions?
Yes. Signs are handled in simplification; compare magnitudes using the same cross product rule on reduced forms.
Do I need a common denominator to compare?
Cross multiplication is equivalent to comparing with a common denominator but faster for just two fractions.