When fractions describe the same whole and have the same positive denominator, their numerators count equal-sized parts, so the fraction with the greater numerator is greater; equal numerators represent equal fractions, expressed with , , or . A number line or fraction strip shows this ordering and reinforces that the denominator names the size of each part, not the quantity of parts; comparison of fractions with unlike denominators or more advanced equivalent-fraction strategies is not included.
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When two fractions have the same denominator, they name the same-sized parts. Compare the numerators because the numerator tells how many parts there are.
Example: Compare and .
Look at the denominators: both are .
This means both wholes are divided into equal parts.
Compare the numerators: and .
Since is greater than , has more eighths. Therefore, it is greater.
On a fraction strip or number line, comes before because it is closer to . When the numerators are equal, the fractions are equal, such as .
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