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

Question

Solve the following problem:

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

00:00 Solve

00:03 Division is also multiplication by the reciprocal

00:14 Make sure to multiply numerator by numerator and denominator by denominator

00:26 Let's factor 36 into 12 and 3

00:35 Let's reduce what we can

00:41 Let's calculate 3 times 3

00:47 And this is the solution to the question

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:

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

$\frac{5m^2}{9n^2}$