Question

solve for v.
\\(\frac{6}{8} = \frac{v}{12}\\)
simplify your answer as much a

Explanation:

Step1: Cross - multiply to eliminate fractions

To solve for \(v\) in the equation \(\frac{6}{8}=\frac{v}{12}\), we can use cross - multiplication. Cross - multiplication states that if \(\frac{a}{b}=\frac{c}{d}\), then \(a\times d = b\times c\). So, applying this to our equation, we get \(6\times12 = 8\times v\).
\(72 = 8v\)

Step2: Solve for \(v\) by dividing both sides

Now, we want to isolate \(v\). We divide both sides of the equation \(72 = 8v\) by 8.
\(v=\frac{72}{8}\)
Simplifying the fraction \(\frac{72}{8}\), we know that \(72\div8 = 9\).

Answer:

\(v = 9\)