[tex]$-3-2 \frac{1}{3}=-5\frac{1}{3}[/tex]
Solution:
Given expression is [tex]-3-2 \frac{1}{3}[/tex].
To solve this expression, first change mixed fraction into improper fraction.
[tex]$-3-2 \frac{1}{3}=-3- \frac{(2\times 3) + 1}{3}[/tex]
[tex]$=-3- \frac{7}{3}[/tex]
To make the denominator same, multiply and divide the denominator by 3.
[tex]$=\frac{-9}{3} - \frac{7}{3}[/tex]
[tex]$=\frac{-9-7}{3}[/tex]
[tex]$=\frac{-16}{3}[/tex]
Now, change improper fraction into mixed fraction.
[tex]$=-5\frac{1}{3}[/tex]
[tex]$-3-2 \frac{1}{3}=-5\frac{1}{3}[/tex]
Now, locate [tex]-5\frac{1}{3}[/tex] on the number line.
It is lies between –5 and –6.
The image of the number line is attached below.
