Question

solve for p.\\(
\frac{12}{11} = \frac{p}{12}\\)
\\(p = \square\\)

Explanation:

Step1: Cross - multiply the equation

To solve for \( p \) in the equation \(\frac{12}{11}=\frac{p}{12}\), we can use cross - multiplication. Cross - multiplication states that if \(\frac{a}{b}=\frac{c}{d}\), then \(a\times d = b\times c\).
Applying this to our equation, we get \(12\times12 = 11\times p\).

Step2: Calculate the left - hand side

First, calculate \(12\times12\). We know that \(12\times12 = 144\), so our equation becomes \(144=11p\).

Step3: Solve for \( p \)

To solve for \( p \), we divide both sides of the equation \(144 = 11p\) by 11. So, \(p=\frac{144}{11}\).

Answer:

\(\frac{144}{11}\)