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Compare fractions with the same denominator

Fractions with the same positive denominator name wholes partitioned into equal-sized parts, so their values are compared by comparing the numerators: the fraction with more parts is greater, and equal numerators represent equal fractions. A number line or area model reinforces this relationship and helps distinguish numerator quantity from denominator size; comparison of fractions with unlike denominators or more advanced equivalent-fraction methods is not included.

Detailed Explanation: Compare fractions with the same denominator

When two fractions have the same positive denominator, their wholes are split into the same number of equal parts. Compare the numerators to see which fraction has more parts.

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

  1. Check the denominators: both are 88. This means both wholes are divided into eight equal parts.
  2. Compare the numerators: 33 and 55.
  3. Since 5>35>3, five eighths is greater than three eighths.

Therefore,

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

You can picture this as eight equal spaces on a number line. 38\frac{3}{8} is three spaces from 00, while 58\frac{5}{8} is five spaces from 00, so 58\frac{5}{8} is farther to the right and has the greater value.

Learn by doing: Compare fractions with the same denominator

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    Fraction Comparison - Mixed - No Changed Denominator

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