Question

Simplify

$\frac{16a^2}{22a}$

Short answer

$\frac{\mathbf{8}{\mathbf{a}}^{\mathbf{2}}}{\mathbf{11}}$ is the simplest form of $\frac{16a^3}{22a}$.

Step-by-step solution

Step 1. Given information

Consider, the fraction $\frac{16a^3}{22a}$ provided in the question.

Step 2. Calculation 

To obtain the simplest form of the fraction $\frac{16a^3}{22a}$, it is needed to factor the numerator and denominator of provided fraction and divide out the common factors

Therefore, the obtained expression as:

$\begin{array}{l}\frac{16a^3}{22a}=\frac{2\times 2\times 2\times 2\times a\times a\times a}{2\times 11\times a}\\ \frac{16a^3}{22a}=\frac{8a^2}{11}\end{array}$

Hence, $\frac{8a^2}{11}$ is the simplest form of $\frac{16a^3}{22a}$