Given:
The expression is
[tex]\dfrac{8}{3}-\dfrac{5}{6}-\dfrac{2}{12}[/tex]
To find:
The expression which is equivalent to the given expression.
Solution:
We have,
[tex]\dfrac{8}{3}-\dfrac{5}{6}-\dfrac{2}{12}[/tex]
It can be written as
[tex]=\dfrac{8}{3}-\dfrac{5}{6}-\dfrac{1}{6}[/tex]
Taking LCM, we get
[tex]=\dfrac{16-5-1}{6}[/tex]
[tex]=\dfrac{10}{6}[/tex]
[tex]=\dfrac{5}{3}[/tex]
The mixed fraction of this improper fraction is
[tex]=\dfrac{1\times 3+2}{3}[/tex]
[tex]=1\dfrac{2}{3}[/tex]
So, the expression [tex]1\dfrac{2}{3}[/tex] is equivalent to the given expression.
Therefore, the correct option is A.
