Question

solve for v.
\\(\frac{v}{9} = \frac{8}{12}\\)
simplify your answer as much a
\\(v = \square\\)

Explanation:

Step1: Cross - multiply to solve for \( v \)

We have the equation \(\frac{v}{9}=\frac{8}{12}\). Cross - multiplying gives us \(12\times v = 8\times9\).

Step2: Simplify the right - hand side

First, calculate \(8\times9 = 72\). So the equation becomes \(12v=72\).

Step3: Solve for \( v \)

Divide both sides of the equation \(12v = 72\) by 12. That is \(v=\frac{72}{12}\).
Simplifying \(\frac{72}{12}\), we get \(v = 6\).

Answer:

\(v = 6\)