Question

solve for n.\\(
\frac{12}{5} = \frac{n}{8}\\)
\\(n = \square\\)

Explanation:

Step1: Cross - multiply the equation

To solve for \( n \) in the proportion \(\frac{12}{5}=\frac{n}{8}\), we use the cross - multiplication property of proportions. If \(\frac{a}{b}=\frac{c}{d}\), then \(a\times d = b\times c\). So, \(12\times8 = 5\times n\).
\(12\times8 = 96\) and \(5\times n=5n\), so the equation becomes \(96 = 5n\).

Step2: Solve for \( n \)

To isolate \( n \), we divide both sides of the equation \(96 = 5n\) by 5.
\(n=\frac{96}{5}=19.2\)

Answer:

\(19.2\)