Question

if \\(\frac{1}{2}\\) is added to three times the reciprocal of a number, the result is 1. find the number.

Explanation:

Step1: Define the unknown number

Let the number be $x$. Its reciprocal is $\frac{1}{x}$.

Step2: Set up the equation

Translate the problem to math: $\frac{1}{2} + 3\times\frac{1}{x} = 1$

Step3: Isolate the reciprocal term

Subtract $\frac{1}{2}$ from both sides:
$3\times\frac{1}{x} = 1 - \frac{1}{2}$
$3\times\frac{1}{x} = \frac{1}{2}$

Step4: Solve for $x$

First rewrite as $\frac{3}{x} = \frac{1}{2}$, then cross-multiply:
$x = 3\times2$
$x = 6$

Answer:

$6$