Question

complete each statement.

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

Short answer

The final answer is, $\frac{a}{4}=\frac{b}{7}\Rightarrow \frac{a}{b}=\frac{4}{7}$.

Step-by-step solution

Step 1. Given information.

The given proportion is,

$\frac{a}{4}=\frac{b}{7}$.

It is given that,$\frac{a}{4}=\frac{b}{7}$

Step 2. Use cross-multiplication method.

We get,

$7a=4b$

Step 3. Now, divide both sides by 7b.

$\begin{array}{l}\frac{7a}{7b}=\frac{4b}{7b}\\ \frac{a}{b}=\frac{4}{7}\end{array}$

So, we get,

$\frac{a}{4}=\frac{b}{7}\Rightarrow \frac{a}{b}=\frac{4}{7}$

Therefore, the final answer is,$\frac{a}{4}=\frac{b}{7}\Rightarrow \frac{a}{b}=\frac{4}{7}$ .