Place fractions on a number line

Fractions are located as numbers by partitioning each unit interval into equal parts named by the denominator and counting those parts from zero according to the numerator; improper fractions and mixed numbers extend this reasoning across multiple units. Equivalent fractions occupy the same point, and a number line supports comparison by position rather than by judging numerator or denominator separately. The focus is on nonnegative fractions, not negative numbers or more general rational-number systems.

Detailed Explanation: Place fractions on a number line

To place a fraction on a number line:

Look at the denominator. It tells you how many equal parts to divide each whole unit into.
Look at the numerator. It tells you how many of those parts to count from $0$ .
Mark the point where you stop.

Example: Place $\frac{7}{4}$ on a number line

The denominator is $4$ , so divide each whole number interval into $4$ equal parts:

0 \quad \frac14 \quad \frac24 \quad \frac34 \quad 1

Because the numerator is $7$ , count $7$ fourths from $0$ :

$1$ fourth: $\frac14$
$2$ fourths: $\frac24$
$3$ fourths: $\frac34$
$4$ fourths: $\frac44=1$
$5$ fourths: $\frac54$
$6$ fourths: $\frac64$
$7$ fourths: $\frac74$

So $\frac74$ is $3$ fourths past $1$ :

\frac74=1\frac34

On the number line, $\frac74$ is located at $1\frac34$ , between $1$ and $2$ , just one quarter before $2$ .

Learn by doing: Place fractions on a number line

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Number Line - Simple Fractions, Select Dot - From Ticks

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