1Cademy - Example of Locating $$rac{1}{5}$$, $$-rac{4}{5}$$, $$3$$, $$rac{7}{4}$$, $$-rac{9}{2}$$, $$-5$$, and $$rac{8}{3}$$ on a Number Line

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Procedure for Locating Fractions on a Number Line

Example

Example of Locating $rac{1}{5}$ , $- rac{4}{5}$ , $3$ , $rac{7}{4}$ , $- rac{9}{2}$ , $-5$ , and $rac{8}{3}$ on a Number Line

To systematically locate this set of fractions and whole numbers on a number line, approach them based on their structural type. First, the whole numbers $3$ and $-5$ correspond directly to their respective integer tick marks. Next, handle the proper fractions: $rac{1}{5}$ has a value between $0$ and $1$ , so the interval is divided into $5$ equal parts, and the point is plotted at the first mark. Similarly, the proper fraction $- rac{4}{5}$ lies between $0$ and $-1$ and is placed at the fourth mark to the left. Finally, for the improper fractions, convert each to a mixed number to accurately identify the adjacent integers they fall between: $rac{7}{4} = 1 rac{3}{4}$ , positioning it three-quarters of the way between $1$ and $2$ ; $- rac{9}{2} = -4 rac{1}{2}$ , which sits exactly halfway between $-4$ and $-5$ ; and $rac{8}{3} = 2 rac{2}{3}$ , placed two-thirds of the distance traveling from $2$ to $3$ .

Updated 2026-04-21

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OpenStax Intermediate Algebra

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