Answer :

Let's solve the expression [tex]\(\frac{0.05 \times 0.004}{0.02}\)[/tex] step by step.

1. Identify the components:
- The numerator of the fraction is [tex]\(0.05 \times 0.004\)[/tex].
- The denominator of the fraction is [tex]\(0.02\)[/tex].

2. Calculate the numerator:
We need to multiply [tex]\(0.05\)[/tex] by [tex]\(0.004\)[/tex].
[tex]\[ 0.05 \times 0.004 = 0.0002 \][/tex]

3. Now, we have the fraction [tex]\( \frac{0.0002}{0.02} \)[/tex].

4. Perform the division:
Divide [tex]\(0.0002\)[/tex] by [tex]\(0.02\)[/tex].
[tex]\[ \frac{0.0002}{0.02} = 0.01 \][/tex]

Thus, the step-by-step solution to [tex]\(\frac{0.05 \times 0.004}{0.02}\)[/tex] gives us the result:

[tex]\[ \boxed{0.01} \][/tex]

Further, the intermediate multiplication result gives us:
[tex]\[ \boxed{0.0002} \][/tex]