Comparing Fractions Calculator

To compare fractions with unlike denominators, find the Lowest Common Denominator (LCD) of both fractions. Convert each fraction to an equivalent fraction with the LCD as the denominator, then compare the numerators. The fraction with the larger numerator is the greater fraction.

The simplest method is to convert both fractions to decimals by dividing the numerator by the denominator, then compare the decimal values directly. For example, 3/4 = 0.75 and 2/3 ≈ 0.667, so 3/4 is greater. The LCD method is preferred in school settings as it shows exact fractional relationships.

When two fractions share the same denominator, simply compare their numerators. The fraction with the larger numerator is the greater fraction. For example, 7/12 > 5/12 because 7 > 5.

First convert each mixed number to an improper fraction by multiplying the whole number by the denominator, adding the numerator, and placing the result over the original denominator. Then compare the two improper fractions using the LCD or decimal method as usual.

Decimal values sit on a simple number line, making comparison straightforward — you just check which number is larger. Fractions require finding a common denominator first, which involves more steps. However, decimals can involve repeating or rounded values, so the LCD method gives exact results.

Yes. Enter a negative whole number for mixed fractions, or a negative numerator for simple fractions. The calculator handles negative values correctly — for example, -1/2 < 1/4 because -0.5 is less than 0.25.

When two fractions have identical numerators, the fraction with the smaller denominator is the larger fraction. For instance, 3/4 > 3/7 because dividing the same number into 4 parts yields bigger pieces than dividing into 7 parts.

LCD stands for Lowest Common Denominator — the smallest number that is a multiple of both denominators. Converting fractions to the same LCD allows direct comparison of numerators without changing the actual value of either fraction.