Simpify the following:$-\frac{2}{3}+(\frac{2}{3}+\frac{4}{5})$
Given :
The given expression is $-\frac{2}{3}+(\frac{2}{3}+\frac{4}{5})$.
To do :
We have to simplify the given expression.
Solution :
$-\frac{2}{3}+(\frac{2}{3}+\frac{4}{5})$
The addition follows associative property. Associative property of addition states that
$(a+b)+c = a+(b+c)$
Therefore,
$-\frac{2}{3}+(\frac{2}{3}+\frac{4}{5})=(-\frac{2}{3}+\frac{2}{3})+\frac{4}{5}$
$ = 0+\frac{4}{5}$
$= \frac{4}{5}$.
Therefore, the value of $-\frac{2}{3}+(\frac{2}{3}+\frac{4}{5})$ is $\frac{4}{5}$.
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