Compare fractions with the same numerator

When positive fractions have the same numerator, the denominator determines their relative size: counting the same number of parts, a larger denominator creates smaller equal parts, so the fraction is smaller. Number lines and area models make this inverse relationship visible and correct the misconception that a larger denominator always makes a fraction larger; comparison here is limited to common numerators and does not include general methods for comparing fractions with unlike numerators.

Detailed Explanation: Compare fractions with the same numerator

When two positive fractions have the same numerator, compare their denominators.

The denominator tells how many equal parts the whole is divided into:

A larger denominator makes smaller parts.
Counting the same number of smaller parts gives a smaller fraction.

Example: Compare $\frac{3}{4}$ and $\frac{3}{8}$

The numerators are the same: both are $3$ .
Compare the denominators: $8$ is greater than $4$ .
Eighths are smaller pieces than fourths. So $3$ eighths is less than $3$ fourths.
Write the comparison:

\frac{3}{8}<\frac{3}{4}

On a number line, $\frac{3}{8}$ is closer to $0$ , while $\frac{3}{4}$ is farther to the right. Remember: with the same numerator, the fraction with the larger denominator is smaller.

Learn by doing: Compare fractions with the same numerator

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Fraction Dominoes Compare - Same Numerator Above or Below 1

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