How to Do Integers on a Fraction Number Line

By Tuesday Fuller
A fraction number line shows the locations of any fractions between two integers.
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A fraction number line is a horizontal line typically with zero at the left end and the number 1 at the right end. In between the numbers, zero and 1, are the fractions. A fraction number line may have simple fractions identifying every fourth segment, e.g., 1/4, 2/4, 3/4 and 4/4, or it may include every fraction from the smallest 1/16 to the largest 1/2. An integer is a whole number, e.g., 4, 56, and so on. In order to use a fraction number line to factor in integers, it is important to understand how a whole number translates into fraction form.

Step 1

Convert the whole number 1 into a fraction. Although the number 1 is a whole unit, it still converts into a fraction.

Step 2

Write the number 1 in the numerator of a fraction, letting x represent the unknown denominator, 1/x. This is the same as representing a part of a whole, i.e., one part of an unknown unit.

Step 3

Write the number 1 in the denominator of the fraction, 1/1. The denominator represents the whole unit. This fraction now represents the ratio 1-to-1, or the rational whole number 1.

Step 4

Locate the fraction 1/1 on the number line. One way to figure out where the fraction falls on the number line is to compare the denominator to the other fractions: the smaller the denominator, the larger the parts of the whole, which places the fraction further to the right towards the integer at the end of the number line. For example, 1/2 will be closer to the integer 1 than 1/3. The denominator 1 tells you it goes all the way to the right and equals the integer 1.