Simplify the following:$\frac{2a}{3b} + \frac{3b}{2a}$

Given :

The given expression is $\frac{2a}{3b} + \frac{3b}{2a}$

To do :

We have to simplify the given expression.

Solution :

$\frac{2a}{3b} + \frac{3b}{2a}$

$\frac{2a}{3b} + \frac{3b}{2a} = \frac{2a(2a)+3b(3b)}{(3b)(2a)}$

$ =\frac{(4a^2 + 9b^2)}{6ab}$.

The value of $\frac{2a}{3b} + \frac{3b}{2a}$ is  $\frac{4a^2 + 9b^2}{6ab}$.

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Updated on: 10-Oct-2022

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