Compare fractions with the same numerator

Comparing fractions with the same numerator involves reasoning about the size of equal parts: when the whole is the same, a smaller denominator names larger parts, so the fraction with the smaller denominator is greater (for example, $3/4 > 3/8$ ). Area models and number lines make this relationship visible and counter the misconception that a larger denominator always means a larger fraction; comparisons involving unlike numerators or advanced fraction operations are not included.

Detailed Explanation: Compare fractions with the same numerator

When fractions have the same numerator, compare the denominators.

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

A smaller denominator means fewer, larger parts.
A larger denominator means more, smaller parts.

So, with the same numerator, the fraction with the smaller denominator is greater.

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

Both fractions have the same numerator, $3$ . This means we are comparing 3 parts to 3 parts.
Compare the denominators: $4$ and $8$ .
Fourths are larger pieces than eighths because a whole divided into 4 equal parts makes bigger parts than a whole divided into 8 equal parts.
Therefore, 3 fourths is greater than 3 eighths:

\frac{3}{4}>\frac{3}{8}

Remember: When the numerators are the same, the fraction with the smaller denominator is larger.

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Fraction Dominoes Compare - Same Numerator Below 1

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