Question

question
solve for x.
\\(\frac{x}{27} = \frac{2}{9}\\)

Explanation:

Step1: Cross - multiply to solve for x

To solve the equation \(\frac{x}{27}=\frac{2}{9}\), we can use cross - multiplication. Cross - multiplication means that if \(\frac{a}{b}=\frac{c}{d}\), then \(a\times d = b\times c\). Applying this to our equation, we get \(x\times9=27\times2\).

Step2: Simplify and solve for x

First, calculate the right - hand side of the equation: \(27\times2 = 54\). So our equation becomes \(9x = 54\). Then, to isolate \(x\), we divide both sides of the equation by 9. That is, \(x=\frac{54}{9}\). And \(\frac{54}{9}=6\).

Answer:

\(x = 6\)