Question

solve for p.
\\(\frac{8}{9} = \frac{12}{p}\\)
\\(p = \square\\)

Explanation:

Step1: Cross - multiply the equation

Given the proportion \(\frac{8}{9}=\frac{12}{p}\), cross - multiplying gives us \(8\times p = 9\times12\).

Step2: Simplify the right - hand side

Calculate \(9\times12 = 108\), so the equation becomes \(8p=108\).

Step3: Solve for \(p\)

Divide both sides of the equation \(8p = 108\) by 8. We have \(p=\frac{108}{8}\), and simplifying \(\frac{108}{8}\) (dividing numerator and denominator by 4) gives \(p=\frac{27}{2}=13.5\).

Answer:

\(p = \frac{27}{2}\) (or \(p = 13.5\))