Solve Complex Fraction Division: (12m/3n)÷(36n/5m)

Solve the following problem:

$\frac{12m}{3n}:\frac{36n}{5m}=\text{?}$

Let's flip the second fraction to get a multiplication exercise:

$\frac{12m}{3n}\times\frac{5m}{36n}=$

We'll combine the fractions into one exercise:

$\frac{12m\times5m}{3n\times36n}=$

Let's factor 36 into a smaller multiplication exercise:

$\frac{12m\times5m}{3n\times12\times3n}=$

We'll reduce the 12 in both the numerator and denominator of the fraction:

$\frac{m\times5m}{3n\times3n}=\frac{5m^2}{9n^2}$