Comparison Math Example 1

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

Example 1

easy
Compare 58\dfrac{5}{8} and 35\dfrac{3}{5}. Which is greater?

Solution

  1. 1
    Find a common denominator: lcm(8,5)=40\text{lcm}(8,5) = 40.
  2. 2
    Convert: 58=2540\dfrac{5}{8} = \dfrac{25}{40} and 35=2440\dfrac{3}{5} = \dfrac{24}{40}.
  3. 3
    Since 25>2425 > 24, we have 2540>2440\dfrac{25}{40} > \dfrac{24}{40}, so 58>35\dfrac{5}{8} > \dfrac{3}{5}.

Answer

58>35\dfrac{5}{8} > \dfrac{3}{5}
To compare fractions with different denominators, rewrite them with a common denominator, then compare numerators directly. The fraction with the larger numerator is the greater fraction.

About Comparison

Determining how two quantities relate in terms of size or value, using the symbols <<, >>, or ==.

Learn more about Comparison →

More Comparison Examples

Example 2 medium

Place [formula], [formula], [formula], and [formula] in order from least to greatest.

Example 3 easy

Insert [formula], [formula], or [formula] between each pair: (a) [formula] and [formula], (b) [formu

Example 4 medium

Without a calculator, determine which is larger: [formula] or [formula].

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