Question

solve the following proportion for the variable x.
\\(\frac{2}{x} = \frac{5}{6}\\)

x = \\(\square\\) (type an integer or a simplified fraction.)

Explanation:

Step1: Cross - multiply the proportion

Given the proportion \(\frac{2}{x}=\frac{5}{6}\), cross - multiplying gives us \(5\times x = 2\times6\).
So, \(5x=12\).

Step2: Solve for x

To solve for \(x\), we divide both sides of the equation \(5x = 12\) by 5.
\(x=\frac{12}{5}\)

Answer:

\(\frac{12}{5}\)