Question

Simplify

$\frac{27m^2}{45m^2}$

Short answer

$\frac{3m^2}{5}$ is the simplest form of $\frac{27m^4}{45m^2}$ .

Step-by-step solution

Step 1. Given information

Consider, the fraction $\frac{27m^4}{45m^2}$provided in the question

Step 2. Calculation 

To obtain the simplest form of the fraction $\frac{27m^4}{45m^2}$, it is needed to factor the numerator and denominator of provided fraction and divide out the common factors

Therefore, the obtained expression as:

$\begin{array}{l}\frac{27m^4}{45m^2}=\frac{3\times 3\times 3\times m\times m\times m\times m}{3\times 3\times 5\times m\times m}\\ \frac{27m^4}{45m^2}=\frac{3m^2}{5}\end{array}$

Hence,

$\frac{3m^2}{5}$ is the simplest form of $\frac{27m^4}{45m^2}$