Question

1. \\(\frac{11}{y} = \frac{9}{27}\\)

Explanation:

Step1: Cross - multiply the equation

Given the equation \(\frac{11}{y}=\frac{9}{27}\), cross - multiplying gives us \(9\times y = 11\times27\).

Step2: Simplify the right - hand side

Calculate \(11\times27 = 297\), so the equation becomes \(9y=297\).

Step3: Solve for y

Divide both sides of the equation \(9y = 297\) by 9. That is \(y=\frac{297}{9}\).
Simplify \(\frac{297}{9}\), we know that \(297\div9 = 33\).

Answer:

\(y = 33\)