Solve Complex Fraction: 30/(3/(13:2)) Step-by-Step

$30/(3/(13:2))=\text{?}$

First, let's write the multiplication exercise in the inner parentheses as a fraction:

$30/(3:\frac{13}{2})=$

Now let's flip the fraction to create a multiplication exercise:

$30/(3\times\frac{2}{13})=$

Let's add 13 to the fraction's numerator in a multiplication exercise:

$30/(\frac{3\times2}{13})=$

Now let's flip the fraction to create a multiplication exercise:

$30\times\frac{13}{3\times2}=$

Let's add 30 to the fraction's numerator in a multiplication exercise:

$\frac{30\times13}{3\times2}=$

Let's break down the 30 into a smaller multiplication exercise:

$\frac{10\times3\times13}{3\times2}=$

Let's reduce between the 3 in the numerator and denominator:

$\frac{10\times13}{2}=$

Let's break down the 10 into a smaller multiplication exercise:

$\frac{5\times2\times13}{2}=$

Let's reduce between the 2 in the numerator and denominator to get:

$5\times13=65$