Question

Complete the statement.

If$\frac{n}{p}=\frac{q}{r}=\frac{7}{9}$, then$\frac{n+q+7}{p+r+9}=\frac{?}{?}$

Short answer

The final answer is,

$\frac{n+q+7}{p+r+9}=\frac{7}{9}$

Step-by-step solution

Step 1. Given information.

The given proportion is,

$\frac{n}{p}=\frac{q}{r}=\frac{7}{9}$

Step 2. We know the concept as mention below.

if.$\frac{a}{b}=\frac{c}{d}=\frac{e}{f}=\mathrm{...}then\frac{a+c+e+\mathrm{...}}{b+d+f+\mathrm{...}}=\frac{a}{b}=\mathrm{...}$

Step 3. So, by this concept. 

we must have,

­­­­$\frac{n+q+7}{p+r+9}=\frac{7}{9}$

Therefore, the final answer is$\frac{n+q+7}{p+r+9}=\frac{7}{9}$,