Question

complete each statement.

If$\frac{a}{4}=\frac{b}{7},$then$\frac{a}{b}=\frac{?}{?}$

Short answer

The final answer is, $\frac{x}{y}=\frac{3}{8}\Rightarrow \frac{y}{x}=\frac{8}{3}$.

Step-by-step solution

Step 1. Given information.

The given proportion is,

$\frac{x}{y}=\frac{3}{8}$.

It is given that$\frac{x}{y}=\frac{3}{8}$,

Step 2. Use cross-multiplication method.

We get,

$8x=3y$

Step 3. Now, divide both sides by 3x.

$\begin{array}{l}\frac{8x}{3x}=\frac{3y}{3x}\\ \frac{8}{3}=\frac{y}{x}\end{array}$

So, we get,

$\frac{x}{y}=\frac{3}{8}\Rightarrow \frac{y}{x}=\frac{8}{3}$

Therefore, the final answer is, $\frac{x}{y}=\frac{3}{8}\Rightarrow \frac{y}{x}=\frac{8}{3}$.