Fractions Math Example 4

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

Example 4

medium
Arrange 23\frac{2}{3}, 58\frac{5}{8}, and 712\frac{7}{12} in order from least to greatest.

Solution

  1. 1
    Find the LCD of 3, 8, and 12: LCD=24\text{LCD} = 24.
  2. 2
    Convert: 23=1624\frac{2}{3} = \frac{16}{24}, 58=1524\frac{5}{8} = \frac{15}{24}, 712=1424\frac{7}{12} = \frac{14}{24}.
  3. 3
    Order by numerator: 1424<1524<1624\frac{14}{24} < \frac{15}{24} < \frac{16}{24}, so 712<58<23\frac{7}{12} < \frac{5}{8} < \frac{2}{3}.

Answer

712<58<23\frac{7}{12} < \frac{5}{8} < \frac{2}{3}
Converting fractions to a common denominator makes comparison straightforward since you only need to compare numerators.

About Fractions

A fraction is a number of the form ab\frac{a}{b} where aa (the numerator) counts how many equal parts you have and bb (the denominator, which must not be zero) tells how many equal parts the whole is divided into.

Learn more about Fractions →

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Example 1 easy

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Example 2 medium

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Example 3 easy

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Example 5 medium

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