Question

a. \\(\frac{3}{5} = \frac{x}{16}\\)

Explanation:

Step1: Cross - multiply the proportion

For the proportion $\frac{3}{5}=\frac{x}{16}$, we use the cross - multiplication property of proportions. That is, if $\frac{a}{b}=\frac{c}{d}$, then $a\times d = b\times c$. So here, $3\times16 = 5\times x$.
$3\times16 = 48$, so the equation becomes $48 = 5x$.

Step2: Solve for x

To solve for $x$, we divide both sides of the equation $48 = 5x$ by 5. So $x=\frac{48}{5}=9.6$.

Answer:

$x = \frac{48}{5}$ (or $x = 9.6$)