Question

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

Explanation:

Step1: Cross - multiply the equation

Given the equation \(\frac{3}{9}=\frac{u}{6}\), 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 \(3\times6=9\times u\).
So, \(18 = 9u\).

Step2: Solve for \(u\)

Divide both sides of the equation \(18 = 9u\) by 9. \(\frac{18}{9}=\frac{9u}{9}\).
Simplifying, we get \(u = 2\).

Answer:

\(2\)