Question

solve for u.
\\(\frac{u}{6} = \frac{3}{9}\\)
simplify your answer as much as possible.
\\(u = \square\\)

Explanation:

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

Given the equation \(\frac{u}{6}=\frac{3}{9}\), cross - multiplying (which is based on the property of proportions: if \(\frac{a}{b}=\frac{c}{d}\), then \(a\times d = b\times c\)) gives us \(u\times9 = 6\times3\).

Step2: Simplify the right - hand side

Calculate \(6\times3 = 18\), so the equation becomes \(9u=18\).

Step3: Solve for \( u \)

Divide both sides of the equation \(9u = 18\) by 9. That is, \(u=\frac{18}{9}\).

Step4: Simplify the fraction

Simplify \(\frac{18}{9}\) to get \(u = 2\).

Answer:

\(u = 2\)