Comparing Fraction

We compare fractions to find which fraction is larger and which is smaller.

To compare fractions with unlike denominators convert them to equivalent fractions with the same denominator.


 * 1) If you have mixed numbers convert them to improper fractions
 * 2) Find the lowest common denominator (LCD) for the fractions
 * 3) Convert each fraction into its equivalent with the LCD in the denominator
 * 4) Compare fractions: If denominators are the same you can compare the numerators. The fraction with the bigger numerator is the larger fraction.

Example:

Compare 5/6 and 3/8.

Find the LCD: The multiples of 6 are 6, 12, 18, 24, 30, etc. The multiples of 8 are 8, 16, 24, 32, etc. The lowest common multiple is 24 so we use that as the lowest common denominator.

Convert each fraction to its equivalent fraction using the LCD.

For 5/6, multiply numerator and denominator by 4 to have LCD = 24 in the denominator.

5/6 x 4/4 = 20/24

For 3/8, multiply numerator and denominator by 3 to have LCD = 24 in the denominator.

3/8 x 3/3 = 9/24

Compare the fractions. Because there are like denominators you can compare the numerators. 20 is larger than 9, so:

Since   20/24$$>$$9/24   we conclude   5/6 $$>$$3/8