Answer: \(\dfrac{-5}{12}\)
Step-by-step explanation:
The given problem : \(-2\dfrac{1}{2}\div6\)
First we convert mixed fraction into improper fraction, we gte
\(-2\dfrac{1}{2}=-(\dfrac{2(2)+1}{2})=-\dfrac{5}{2}\)
Now , the problem becomes ,
\(-\dfrac{5}{2}\div6\)
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.
\(-\dfrac{5}{2}\timers\dfrac{1}{6}\)
\(=-\dfrac{5}{2}\timers\dfrac{1}{6}=\dfrac{-5}{12}\)
Hence, the answer is \(\dfrac{-5}{12}\)
