Ordering Fractions Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
Order 25\frac{2}{5}, 310\frac{3}{10}, and 12\frac{1}{2} from greatest to least.

Solution

  1. 1
    LCD of 5,10,25, 10, 2 is 1010. Convert: 25=410\frac{2}{5} = \frac{4}{10}, 310=310\frac{3}{10} = \frac{3}{10}, 12=510\frac{1}{2} = \frac{5}{10}.
  2. 2
    Order from greatest to least by numerator: 5>4>35 > 4 > 3, so 12>25>310\frac{1}{2} > \frac{2}{5} > \frac{3}{10}.

Answer

12>25>310\frac{1}{2} > \frac{2}{5} > \frac{3}{10}
After converting to a common denominator, simply read the fractions in reverse order of their numerators for greatest-to-least ordering.

About Ordering Fractions

Ordering fractions means arranging a set of fractions from least to greatest (or greatest to least) by converting them to a common denominator or to decimals so their sizes can be directly compared.

Learn more about Ordering Fractions →

More Ordering Fractions Examples

Example 1 easy

Order [formula], [formula], and [formula] from least to greatest.

Example 2 medium

Order [formula], [formula], [formula], and [formula] from least to greatest.

Example 4 hard

Arrange [formula], [formula], [formula], and [formula] from least to greatest.

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