Question

. Simplify;2 - 2+5 - 2 - 8 -8.

Answer 1

The given expression:

`(4)/(9)z-(3)/(9)z+5-(5)/(9)z-8`

To simplify the expression :

Group the similar terms together :

`(4)/(9)z-(3)/(9)z+5-(5)/(9)z-8=(4)/(9)z-(3)/(9)z-(5)/(9)z+5-8`

Simplify the similar terms together :

`\begin{gathered} (4)/(9)z-(3)/(9)z+5-(5)/(9)z-8=(4)/(9)z-(3)/(9)z-(5)/(9)z+5-8 \\ (4)/(9)z-(3)/(9)z+5-(5)/(9)z-8=((4)/(9)z-(3)/(9)z-(5)/(9)z)+5-8 \\ LCM\text{ of 9,9,9 is 9 So:} \\ (4)/(9)z-(3)/(9)z-(5)/(9)z=(4-3-5)/(9)z \\ (4)/(9)z-(3)/(9)z-(5)/(9)z=(-4)/(9)z \\ \text{Substitute the value of fraction addition:} \\ (4)/(9)z-(3)/(9)z+5-(5)/(9)z-8=-(4)/(9)z+5-8 \\ \text{ Since, 5-8= (-3)} \\ (4)/(9)z-(3)/(9)z+5-(5)/(9)z-8=-(4)/(9)z-3 \end{gathered}`

So, :

`(4)/(9)z-(3)/(9)z+5-(5)/(9)z-8=-(4)/(9)z-3`

Answer :

`(4)/(9)z-(3)/(9)z+5-(5)/(9)z-8=-(4)/(9)z-3`