Answer: [tex]\dfrac{-5}{12}[/tex]
Step-by-step explanation:
The given problem : [tex]-2\dfrac{1}{2}\div6[/tex]
First we convert mixed fraction into improper fraction, we gte
[tex]-2\dfrac{1}{2}=-(\dfrac{2(2)+1}{2})=-\dfrac{5}{2}[/tex]
Now , the problem becomes ,
[tex]-\dfrac{5}{2}\div6[/tex]
Also, dividing a fraction with a number is exactly same as to multiply it by the reciprocal of that number .
∴ The above expression will become.
[tex]-\dfrac{5}{2}\timers\dfrac{1}{6}[/tex]
[tex]=-\dfrac{5}{2}\timers\dfrac{1}{6}=\dfrac{-5}{12}[/tex]
Hence, the answer is [tex]\dfrac{-5}{12}[/tex]
