Question

Simplify

$\frac{15z^3}{63z}$

Short answer

$\frac{5z^2}{21}$ is the simplest form of $\frac{15z^3}{63z}$ .

Step-by-step solution

Step 1. Given information

Consider, the fraction $\frac{15z^3}{63z}$ provided in the question

Step 2. Calculation 

To obtain the simplest form of the fraction $\frac{15z^3}{63z}$, it is needed to factor the numerator and denominator of provided fraction and divide out the common factors

Therefore, the obtained expression as:

$\begin{array}{l}\frac{15z^3}{63z}=\frac{3\times 5\times z\times z\times z}{3\times 3\times 7\times z}\\ \frac{15z^3}{63z}=\frac{5z^2}{21}\end{array}$

Hence,$\frac{5z^2}{21}$ is the simplest form of $\frac{15z^3}{63z}$