Question

solve for y.
\\(\frac{y}{12} = \frac{6}{9}\\)
simplify your answer as much as possible.
\\(y = \square\\)

Explanation:

Step1: Cross - multiply the equation

Given the equation $\frac{y}{12}=\frac{6}{9}$, cross - multiplying gives us $9y = 12\times6$.

Step2: Calculate the right - hand side

First, calculate $12\times6 = 72$. So the equation becomes $9y=72$.

Step3: Solve for y

To solve for $y$, divide both sides of the equation $9y = 72$ by 9. That is $y=\frac{72}{9}$.

Step4: Simplify the fraction

Simplify $\frac{72}{9}$, since $72\div9 = 8$.

Answer:

$y = 8$