Question

solve \\( \frac{1}{x} = \frac{1}{3} \\)

Explanation:

Step1: Identify the equation

The equation given is $\frac{1}{x} = \frac{1}{3}$.

Step2: Solve for x

To solve for \( x \), we can cross - multiply. If \( \frac{1}{x}=\frac{1}{3} \), then by cross - multiplying (i.e., \( 1\times3 = 1\times x \)), we get \( x = 3 \). We can also think of it as taking the reciprocal of both sides of the equation. The reciprocal of \( \frac{1}{x} \) is \( x \) and the reciprocal of \( \frac{1}{3} \) is \( 3 \), so \( x = 3 \).

Answer:

\( x = 3 \)