Comparing Fractions Calculator
Compare two fractions to determine which is larger, smaller, or if they are equal.
This tool is for informational and educational purposes only. It is not a substitute for professional financial, medical, legal, or engineering advice. See Terms of Service.
Can't find what you need?
Request a ToolHow to Use the Comparing Fractions Calculator
Enter two fractions and the calculator instantly tells you which is larger, shows their decimal equivalents, the difference between them, and the cross multiplication proof.
- Enter the first fraction. Type its numerator and denominator.
- Enter the second fraction. Type its numerator and denominator.
- Read the result. The comparison symbol (greater than, less than, or equals) appears with both decimal values, the fractional difference, and the cross products used to determine the result.
The calculator uses cross multiplication to compare: multiply each numerator by the other fraction's denominator. The fraction with the larger cross product is the larger fraction.
About Comparing Fractions
Comparing fractions with different denominators is not intuitive because the denominators change the scale. There are three common methods. First, convert both to decimals and compare. Second, find a common denominator and compare numerators. Third, cross-multiply: for a/b vs c/d, compare a x d with b x c. This calculator uses cross multiplication for precision and also shows the decimal equivalents.
Fraction comparison is essential in cooking (which measurement is larger?), construction (fitting parts together), and any situation where you need to order or rank fractional values.
Frequently Asked Questions
How do you compare fractions with different denominators?
Cross-multiply: for a/b and c/d, calculate a x d and b x c. If a x d is greater, then a/b is larger. If b x c is greater, then c/d is larger. If they are equal, the fractions are equal.
Which is bigger: 3/4 or 5/7?
Cross-multiply: 3 x 7 = 21 and 4 x 5 = 20. Since 21 is greater than 20, 3/4 is larger than 5/7. In decimals: 0.75 vs 0.714.
Can I compare negative fractions?
Yes. The calculator handles negative numbers in any position. Keep in mind that -1/2 is greater than -3/4 (closer to zero), just as -0.5 is greater than -0.75.