Question

solve for w in the proportion \\(\frac{8}{w} = \frac{2}{16}\\) \\(w = \square\\) submit

Explanation:

Step1: Cross - multiply the proportion

Given the proportion \(\frac{8}{w}=\frac{2}{16}\), cross - multiplying gives us \(2\times w = 8\times16\).

Step2: Simplify the right - hand side

Calculate \(8\times16 = 128\), so the equation becomes \(2w=128\).

Step3: Solve for \(w\)

Divide both sides of the equation \(2w = 128\) by 2. \(\frac{2w}{2}=\frac{128}{2}\), which simplifies to \(w = 64\).

Answer:

\(w = 64\)