Question

solve for a.
\frac{a}{6} = \frac{3}{9}
simplify your answer as much as possible.
a =

Explanation:

Step1: Cross - multiply the equation

Given the equation \(\frac{m}{6}=\frac{3}{9}\), cross - multiplying (which is based on the property of proportions: if \(\frac{a}{b}=\frac{c}{d}\), then \(a\times d = b\times c\)) gives us \(m\times9=6\times3\).

Step2: Simplify the right - hand side

Calculate \(6\times3 = 18\), so the equation becomes \(9m = 18\).

Step3: Solve for \(m\)

Divide both sides of the equation \(9m = 18\) by 9. We know that \(\frac{9m}{9}=\frac{18}{9}\), and simplifying both sides, we get \(m = 2\).

Answer:

\(m = 2\)