Question

solve for u.
\\(\frac{3}{6} = \frac{u}{10}\\)
simplify your answer as much as possible.
\\(u = \square\\)

Explanation:

Step1: Cross - multiply the fractions

To solve the equation \(\frac{3}{6}=\frac{u}{10}\), we use cross - multiplication. Cross - multiplication means that if \(\frac{a}{b}=\frac{c}{d}\), then \(a\times d = b\times c\). So for our equation, we have \(3\times10=6\times u\).

Step2: Simplify and solve for u

First, calculate \(3\times10 = 30\) and \(6\times u=6u\). So our equation becomes \(30 = 6u\). Then, to solve for \(u\), we divide both sides of the equation by 6. \(\frac{30}{6}=\frac{6u}{6}\). Simplifying, we get \(u = 5\).

Answer:

\(u = 5\)