Solve Mixed Number Division: (45 7/15) ÷ 9 Step-by-Step

Since we are dividing two positive numbers, the result must be a positive number:

$+:+=+$

First, let's convert each mixed fraction to an improper fraction as follows:

$9=\frac{9}{1}$

$45\frac{7}{15}=\frac{45\times15+7}{15}=$

Let's solve the multiplication in the numerator:

$45\\\times15\\675$

We should obtain the following:

$\frac{675+7}{15}=\frac{682}{15}$

Now our division problem between the fractions looks like this:

$\frac{682}{15}:\frac{9}{1}=$

Let's convert the division to multiplication, and don't forget to switch between numerator and denominator:

$\frac{682}{15}\times\frac{1}{9}=$

Let's combine everything into one problem:

$\frac{682\times1}{15\times9}=$

Let's solve the problem in the numerator:

$15\\\times9\\135$

And the result is:

$\frac{682}{135}$