Solve Decimal Division: 0.4 ÷ 3 with Positive Numbers

$+\text{0}.4:+3=\text{ ?}$

First, let's convert 0.4 to a simple fraction:

$0.4=\frac{4}{10}$

Let's now convert 3 into a simple fraction:

$3=\frac{3}{1}$

Now the exercise we have is:

$\frac{4}{10}:\frac{3}{1}=$

Next, let's convert the division exercise into a multiplication exercise, remembering to switch the numerator and denominator in the second fraction:

$\frac{4}{10}\times\frac{1}{3}=$

Let's now combine everything into one multiplication exercise:

$\frac{4\times1}{10\times3}=\frac{4}{30}$

We can now break down the numerator and denominator into multiplication exercises:

$\frac{2\times2}{15\times2}=$

Finally, we reduce the 2 in the numerator and denominator to get:

$\frac{2}{15}$