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Name the property used in the following:
$[\frac{2}{3}+(\frac{-4}{5})]+\frac{1}{6}=\frac{2}{3}+[(\frac{-4}{5})+\frac{1}{6}]$
Given :
The given expression is $[\frac{2}{3}+(\frac{-4}{5})]+\frac{1}{6}=\frac{2}{3}+[(\frac{-4}{5})+\frac{1}{6}]$
To do :
We have to name the property used in the given expression.
Solution :
Associative property of addition :
$(a + b) + c = a + (b + c)$
Here, $[\frac{2}{3}+(\frac{-4}{5})]+\frac{1}{6}=\frac{2}{3}+[(\frac{-4}{5})+\frac{1}{6}]$
Changing the grouping of addends does not change the sum.
Therefore, the property used in the given expression is Associative property of addition.
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