Comparing Fractions Calculator

Enter two fractions and quickly determine which one is larger or smaller.

First Fraction

Second Fraction

How to Compare Fractions?

There are two main methods for comparing fractions: finding a common denominator and direct calculation.

Steps:

Find the Least Common Denominator: Find the least common denominator (LCD) of the two fractions.
Convert the Fractions: Adjust both fractions to have the same denominator.
Compare the Numerators: Compare the numerators of the fractions: If the numerators are equal, the two fractions are equal. If one numerator is larger than the other, the fraction with the larger numerator is greater.

Solution:

1. Find the Least Common Denominator:

The LCD is 15.

2. Convert the Fractions:

\( \frac{1}{3} = \frac{5}{15} \)

\( \frac{2}{5} = \frac{6}{15} \)

3. Compare the numerators:

\( 5 < 6 \)

So \( \frac{5}{15} < \frac{6}{15} \).

Result: \( \frac{1}{3} < \frac{2}{5} \).

Convert the fractions to decimals and then compare them:

Solution:

1. Convert to decimals:

\( \frac{3}{4} = 0.75 \)

\( \frac{2}{3} \approx 0.67 \)

2. Compare the decimals:

\( 0.75 > 0.67 \)

So, \( \frac{3}{4} > \frac{2}{3} \)

When comparing fractions in mixed form, convert the mixed fractions to improper fractions first, and then use either of the two methods above for comparison.