Question

1. solve: \\(\frac{7}{a} = \frac{12}{5}\\)

Explanation:

Step1: Cross - multiply the proportion

To solve the proportion \(\frac{7}{a}=\frac{12}{5}\), we use the cross - multiplication property. If \(\frac{b}{c}=\frac{d}{e}\), then \(b\times e = c\times d\). So, we have \(7\times5=12\times a\).
\(35 = 12a\)

Step2: Solve for \(a\)

To isolate \(a\), we divide both sides of the equation \(35 = 12a\) by 12.
\(a=\frac{35}{12}\)

Answer:

\(a = \frac{35}{12}\)