Represent Numbers: Position Fractions on a Number Lines . Representing fractions on a number line which is a length model requires students to understand the fractions represent a section or length of the line. The line needs to be partitioned into equal parts and these parts will represent the denominator of the fraction. . The numerator of the fraction will be the count of these equal parts along the number line. The fraction 3/4 will be positioned at the 3rd mark along a line that has been pa