Question

solve for n.
\frac{11}{5} = \frac{n}{3}
n =

Explanation:

Step1: Cross - multiply the equation

To solve for \( n \) in the equation \(\frac{11}{5}=\frac{n}{3}\), we use cross - multiplication. Cross - multiplication means that if \(\frac{a}{b}=\frac{c}{d}\), then \(a\times d = b\times c\). So for \(\frac{11}{5}=\frac{n}{3}\), we get \(11\times3=5\times n\).

Step2: Simplify the equation

First, calculate the left - hand side of the equation \(11\times3 = 33\). So our equation becomes \(33 = 5n\). Then, to solve for \(n\), we divide both sides of the equation by 5. So \(n=\frac{33}{5}\) (or \(n = 6.6\)).

Answer:

\(\frac{33}{5}\) (or \(6.6\))