Question

Write the algebraic ratio in simplest form.

$\frac{3(x+4)}{a(x+4)}$

Short answer

The simplest form of the given algebraic ratio is,

$\frac{3(x+4)}{a(x+4)}=\frac{3}{a}$

Step-by-step solution

Step 1. Given information.

The given algebraic ratio is,

$\frac{3(x+4)}{a(x+4)}$

Step 2. Concept used.

The given ratio is$\frac{3(x+4)}{a(x+4)}$,

To write the algebraic fraction in simplest form,

Divide the numerator and denominator with the common term.

So, in simplest form,

Step 3. Cancel out(x+4) from numerator and denominator. 

So,

$\frac{3(x+4)}{a(x+4)}=\frac{3}{a}$

Therefore, the simplest form of the given algebraic ratio is, $\frac{3(x+4)}{a(x+4)}=\frac{3}{a}$.