Solve Complex Fraction: 56a÷(7b÷3a) Step-by-Step Solution

First let's rewrite the exercise in the form of a fraction:

$56a:\frac{7b}{3a}=$

We'll flip the fraction to get a multiplication exercise:

$56a\times\frac{3a}{7b}=$

Let's now add 56a to the numerator of the fraction:

$\frac{56a\times3a}{7b}=$

We'll then factor 56 into a smaller multiplication exercise:

$\frac{7\times8\times a\times3a}{7b}=$

Now we can cancel out the 7s in both the numerator and denominator of the fraction:

$\frac{8\times a\times3a}{b}=$

Finally, we can multiply the numbers in the numerator together as well as the $a$s:

$24\frac{a^2}{b}$