Question

solve for w.
\\(\frac{4}{8} = \frac{w}{6}\\)
simplify your answer as much as possible.
\\(w = \square\\)

Explanation:

Step1: Cross - multiply the proportion

Given the equation \(\frac{4}{8}=\frac{w}{6}\), cross - multiplying gives us \(8\times w = 4\times6\).

Step2: Simplify the right - hand side

Calculate \(4\times6 = 24\), so the equation becomes \(8w=24\).

Step3: Solve for \(w\)

Divide both sides of the equation \(8w = 24\) by 8. So \(w=\frac{24}{8}\).

Step4: Simplify the fraction

Simplify \(\frac{24}{8}\) to get \(w = 3\).

Answer:

\(3\)