Skill: Compare fractions with common denominators

Explanation and Free Practice Resources

Fractions with a common positive denominator name equal-sized parts of a whole, so their order is determined by comparing their numerators: the fraction with more parts is greater, and equal numerators represent equal quantities. This understanding applies to proper and improper fractions within familiar whole-number ranges, supports locating and ordering fractions on a number line, and distinguishes denominator size from the amount represented; comparing unlike denominators is not included.

Detailed Explanation: Compare fractions with common denominators

When two fractions have the same positive denominator, they are divided into the same number of equal-sized parts. Compare the numerators to see how many parts each fraction has.

Example: Compare 58\frac{5}{8} and 38\frac{3}{8}.

  1. Check the denominators: both are 88.
    This means the fractions name equal-sized parts.

  2. Compare the numerators: 55 and 33.

  3. Since 5>35>3, 58\frac{5}{8} represents more parts than 38\frac{3}{8}.

Therefore,

58>38\frac{5}{8}>\frac{3}{8}

Remember: when the denominators are the same, the fraction with the greater numerator is greater.

Learn by doing: Compare fractions with common denominators

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Fraction Comparison - Mixed - No Changed Denominator


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