Question

solve for u.
\\(\frac{9}{12} = \frac{u}{8}\\)
simplify your answer as much as possible.
\\(u = \square\\)

Explanation:

Step1: Cross - multiply the fractions

To solve for \( u \) in the equation \( \frac{9}{12}=\frac{u}{8} \), we use cross - multiplication. Cross - multiplying gives us \( 12\times u=9\times8 \).

Step2: Simplify the right - hand side

Calculate \( 9\times8 = 72 \), so the equation becomes \( 12u = 72 \).

Step3: Solve for \( u \)

Divide both sides of the equation \( 12u = 72 \) by 12. \( u=\frac{72}{12}=6 \).

Answer:

\( u = 6 \)