Question

question
solve for x.
\\(\frac{2}{3} = \frac{x}{27}\\)
answer: not sure yet
x = blank submit answer

Explanation:

Step1: Cross - multiply the proportion

Given the proportion \(\frac{2}{3}=\frac{x}{27}\), cross - multiplying means we multiply the numerator of the left - hand side by the denominator of the right - hand side and set it equal to the numerator of the right - hand side multiplied by the denominator of the left - hand side. So we get \(3\times x = 2\times27\).

Step2: Solve for \(x\)

Simplify the right - hand side of the equation \(3x = 2\times27\). Since \(2\times27 = 54\), our equation becomes \(3x=54\). Then, divide both sides of the equation by 3 to isolate \(x\). So \(x=\frac{54}{3}\).

Step3: Calculate the value of \(x\)

\(\frac{54}{3}=18\).

Answer:

\(x = 18\)