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

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Procedure for Locating Fractions on a Number Line

Example

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

To accurately plot this specific collection of mathematical numbers along a number line, categorize each individual value based upon its defined fractional type. The standard integers $-2$ and $3$ logically lie exactly on their denoted integer line marks. The individual proper fraction $rac{2}{3}$ falls safely between $0$ and $1$ , visibly positioned at the second of three equal unit subdivisions. For the collection of improper fractions, actively rewrite them all as mixed numbers out of necessity to identify their relevant integer bounds: $rac{7}{5} = 1 rac{2}{5}$ lies situated between $1$ and $2$ , $- rac{7}{4} = -1 rac{3}{4}$ rests safely between $-1$ and $-2$ , $rac{7}{2} = 3 rac{1}{2}$ sits directly between the marks $3$ and $4$ , and finally $- rac{7}{3} = -2 rac{1}{3}$ resides exactly one-third of the way traveling exclusively from $-2$ toward $-3$ .

Updated 2026-04-21

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OpenStax Intermediate Algebra

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