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Question
Add the following algebraic expression:
\[\frac{2}{3}a, \frac{3}{5}a, - \frac{6}{5}a\]
Solution
To add the like terms, we proceed as follows:
\[\frac{2}{3}a + \frac{3}{5}a + \left( - \frac{6}{5}a \right)\]
\[ = \frac{2}{3}a + \frac{3}{5}a - \frac{6}{5}a\]
\[ = \left( \frac{2}{3} + \frac{3}{5} - \frac{6}{5} \right)a ( \text { Distributive law })\]
\[ = \frac{1}{15}a\]
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