Which property is related to $\frac{- 7}{5} + (\frac{2}{- 11} + \frac{- 13}{25}) = (\frac{- 7}{5} + \frac{2}{- 11}) + \frac{- 13}{25}$ ?

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commutative

associative

identity

answer is C.

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Detailed Solution

Given expression is

\frac{- 7}{5} + (\frac{2}{- 11} + \frac{- 13}{25}) = (\frac{- 7}{5} + \frac{2}{- 11}) + \frac{- 13}{25}

.
Since, a + (b + c) = (a + b) + c is associative property.
By comparing the given expression with the above property, we can see that the expression states the associative property.
Hence,

\frac{- 7}{5} + (\frac{2}{- 11} + \frac{- 13}{25}) = (\frac{- 7}{5} + \frac{2}{- 11}) + \frac{- 13}{25}

is related to associative property.
Therefore, option 3 is correct.

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