Answer:
43/18
Step-by-step explanation:
[tex]\frac{5}{6}+(-\frac{4}{9} - (-2)[/tex]
=[tex]\frac{43}{18}[/tex]
The value of the expression is 2.39.
A fraction is a way to describe a part of a whole.
Example, [tex]\dfrac{1}{4}, \dfrac{3}{8}, \dfrac{2}{7}[/tex], etc.
[tex]\dfrac{5}{6}+\dfrac{-4}{9}-(-2)[/tex]
[tex]\dfrac{5}{6}-\dfrac{4}{9}+(2)[/tex]
[tex]=\dfrac{5}{6}-\dfrac{4}{9}+\dfrac{2}{1}[/tex]
[tex]=\dfrac{(5\times 3)}{(6\times 3)}-\dfrac{(4\times 2)}{(9\times 2)}+\dfrac{(2\times 18)}{(1\times 18)}[/tex]
[tex]=\dfrac{(5\times 3) - (4\times 2)+(2\times 18)}{(18)}[/tex]
[tex]=\dfrac{15-8+36}{(18)}[/tex]
[tex]=\dfrac{43}{(18)}[/tex]
[tex]= 2.3889 \approx 2.39[/tex]
Hence, the value of the expression is 2.39.
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