what should be added to (1/2+1/3+1+5) to get 3

Dear Student,

Please find below the solution to the asked query:

Let we add " x  "  in $\left(\frac{1}{2} + \frac{1}{3} + \frac{1}{5}\right)$ to get 3 , So
$\left(\frac{1}{2} + \frac{1}{3} + \frac{1}{5}\right)$ + x  =  3 

$$\begin{gathered} \Rightarrow \left(\frac{15 +\hspace{0.17em}10 + 6}{30}\right) + x = 3 ( \mathrm{L}.\mathrm{C}.\mathrm{M}. \mathrm{of} 2 ,3 ,\mathrm{and} 5 = 30 ) \\ \Rightarrow \left(\frac{31}{30}\right) + x = 3 \\ \Rightarrow x = 3 - \frac{31}{30} \\ \Rightarrow x =\frac{90 - 31}{30} \\ \mathbf{\Rightarrow }\mathit{x}\mathbf{ }\mathbf{=}\frac{\mathbf{59}}{\mathbf{30}} \end{gathered}$$
Therefore,

We add in given number $\left(\frac{1}{2} + \frac{1}{3} + \frac{1}{5}\right)$ to get 3 = $\frac{\mathbf{59}}{\mathbf{30}}$                                                        ( Ans )

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