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]