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This question belongs to Arithmetic Ability Simplification
Simplification
?

If $$\frac{1}{3} + \frac{1}{2} + \frac{1}{x}{\text{ = 4,}}$$     then x = ?

Answer & Solution
Correct Answer: Option B
$$\eqalign{ & \frac{1}{x} = 4 - \left( {\frac{1}{3} + \frac{1}{2}} \right) \cr & \,\,\,\,\,\, = 4 - {\frac{{2 + 3}}{6}} \cr & \,\,\,\,\,\, = 4 - \frac{5}{6} \cr & \,\,\,\,\,\, = \frac{{24 - 5}}{6} \cr & \,\,\,\,\,\, = \frac{{19}}{6} \cr & \Rightarrow x = \frac{6}{{19}} \cr} $$
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