1Cademy - Locating $$-1$$, $$rac{1}{3}$$, $$rac{6}{5}$$, $$-rac{7}{4}$$, $$rac{9}{2}$$, $$5$$, and $$-rac{8}{3}$$ on a Number Line

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Procedure for Locating Fractions on a Number Line

Example

Locating $-1$ , $rac{1}{3}$ , $rac{6}{5}$ , $- rac{7}{4}$ , $rac{9}{2}$ , $5$ , and $- rac{8}{3}$ on a Number Line

To locate these diverse values on a number line, handle integers, proper fractions, and improper fractions systematically. Plot the integers $-1$ and $5$ directly on their respective tick marks. The proper fraction $rac{1}{3}$ lies between $0$ and $1$ ; by dividing that numerical interval into thirds, it is plotted precisely at the first mark. Finally, convert all improper fractions into mixed numbers to easily pinpoint their valid target intervals: $rac{6}{5} = 1 rac{1}{5}$ (situated just past $1$ ), $- rac{7}{4} = -1 rac{3}{4}$ (positioned three-quarters of the way moving from $-1$ toward $-2$ ), $rac{9}{2} = 4 rac{1}{2}$ (landing perfectly halfway between $4$ and $5$ ), and $- rac{8}{3} = -2 rac{2}{3}$ (planted two-thirds of the distance from $-2$ toward $-3$ ).

Updated 2026-04-21

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OpenStax Intermediate Algebra

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