Question

1. solve: \\(\frac{9}{10} = \frac{x}{38}\\)

Explanation:

Step1: Cross - multiply

To solve the proportion $\frac{9}{10}=\frac{x}{38}$, we use the cross - multiplication property of proportions. If $\frac{a}{b}=\frac{c}{d}$, then $a\times d = b\times c$. So, we have $9\times38 = 10\times x$.
Calculating the left - hand side: $9\times38=342$. So the equation becomes $342 = 10x$.

Step2: Solve for x

To isolate $x$, we divide both sides of the equation $342 = 10x$ by 10.
$x=\frac{342}{10}=34.2$

Answer:

$x = 34.2$