Ordering Fractions Math Example 1

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

Example 1

easy
Order 12\frac{1}{2}, 13\frac{1}{3}, and 14\frac{1}{4} from least to greatest.

Solution

  1. 1
    All fractions have numerator 11 (unit fractions). Larger denominator ⇒\Rightarrow smaller piece.
  2. 2
    Order of denominators from largest to smallest: 4>3>24 > 3 > 2.
  3. 3
    So the fractions from least to greatest: 14<13<12\frac{1}{4} < \frac{1}{3} < \frac{1}{2}.

Answer

14<13<12\frac{1}{4} < \frac{1}{3} < \frac{1}{2}
For unit fractions (numerator = 1), the fraction with the largest denominator is the smallest because you are dividing a whole into more pieces. This is a useful shortcut that applies only when numerators are equal.

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 2 medium

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

Example 3 easy

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

Example 4 hard

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

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