Question

what is the solution to the equation?
\\(\frac{d}{9} = \frac{2}{3}\\)
\\(d = \frac{2}{27}\\) \\(d = 6\\)
\\(d = \frac{1}{6}\\) \\(d = 18\\)

Explanation:

Step1: Cross - multiply the equation

To solve the equation \(\frac{d}{9}=\frac{2}{3}\), we 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 \(d\times3=9\times2\).

Step2: Simplify the right - hand side

Simplify the right - hand side of the equation \(3d = 18\) (since \(9\times2 = 18\)).

Step3: Solve for \(d\)

Divide both sides of the equation \(3d = 18\) by 3. So, \(d=\frac{18}{3}=6\).

Answer:

\(d = 6\)