Question

Add the following algebraic expression:

\[\frac{2}{3}a, \frac{3}{5}a, - \frac{6}{5}a\]

Answer 1

To add the like terms, we proceed as follows:

\[\frac{2}{3}a + \frac{3}{5}a + \left( - \frac{6}{5}a \right)\]

\[ = \frac{2}{3}a + \frac{3}{5}a - \frac{6}{5}a\]

\[ = \left( \frac{2}{3} + \frac{3}{5} - \frac{6}{5} \right)a ( \text { Distributive law })\]

\[ = \frac{1}{15}a\]