Question

solve for a in the proportion.\\
\\(\frac{a}{2} = \frac{15}{6}\\)\\
\\(a = square\\)

Explanation:

Step1: Cross - multiply the proportion

Given the proportion \(\frac{a}{2}=\frac{15}{6}\), cross - multiplying gives us \(6\times a = 15\times2\).

Step2: Simplify the right - hand side

Calculate \(15\times2 = 30\), so the equation becomes \(6a=30\).

Step3: Solve for \(a\)

Divide both sides of the equation \(6a = 30\) by 6. So, \(a=\frac{30}{6}\).

Step4: Simplify the fraction

\(\frac{30}{6}=5\).

Answer:

\(a = 5\)