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Chapter 9: Q38. (page 477)

Simplify the expression $\frac{\frac{m + n}{5}}{\frac{m^{2} + n^{2}}{5}}$

Short Answer

Expert verified

The simplified value of expression is $\frac{m + n}{m^{2} + n^{2}}$

Step by step solution

01

Step 1. Write down the given expression.

The given expression is $\frac{\frac{m + n}{5}}{\frac{m^{2} + n^{2}}{5}}$

02

Step 2. Simplify the expression.

The given expression $\frac{\frac{m + n}{5}}{\frac{m^{2} + n^{2}}{5}}$ is simplified as:

$\begin{matrix} \frac{\frac{m + n}{5}}{\frac{m^{2} + n^{2}}{5}} = \frac{m + n}{5} 脳 \frac{5}{m^{2} + n^{2}} \\ = \frac{m + n}{m^{2} + n^{2}} \end{matrix}$

03

Step 3. Conclusion.

The simplified value of expression is $\frac{m + n}{m^{2} + n^{2}}$

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