Comparing Fractions Math Example 1

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Example 1

easy
Compare 47\frac{4}{7} and 37\frac{3}{7} using the <<, >>, or == symbol.

Solution

  1. 1
    The denominators are the same (77), so the pieces are the same size.
  2. 2
    Compare the numerators: 4>34 > 3.
  3. 3
    Therefore 47>37\frac{4}{7} > \frac{3}{7}.

Answer

47>37\frac{4}{7} > \frac{3}{7}
When two fractions have identical denominators, they represent the same size pieces. The fraction with the larger numerator is greater because it contains more of those equal-sized pieces.

About Comparing Fractions

Determining which of two fractions is greater, less, or equal using common denominators, benchmarks, or cross-multiplication.

Learn more about Comparing Fractions →

More Comparing Fractions Examples

Example 2 medium

Compare [formula] and [formula] using a common denominator.

Example 3 easy

Compare [formula] and [formula] using cross-multiplication.

Example 4 hard

Without finding a common denominator, use benchmark reasoning to compare [formula] and [formula].

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