Answer:
[tex]\dfrac{-79}{126}[/tex]
Step-by-step explanation:
The given expression is :
[tex]\dfrac{-2}{3}+\dfrac{5}{7}+\dfrac{-8}{9}+\dfrac{3}{14}[/tex]
The LCM of 3,7,9 and 14 is 126
So,
[tex]\dfrac{-2}{3}+\dfrac{5}{7}+\dfrac{-8}{9}+\dfrac{3}{14}=\dfrac{42(-2)+18(5)+14(-8)+9(3)}{126}\\\\=\dfrac{-79}{126}[/tex]
So, the value of the given expression is equal to [tex]\dfrac{-79}{126}[/tex].
