Sure! Let's break down the process to solve this division problem and round the result to three decimal places.
1. Division Operation:
Begin by dividing 0.74 by 3.6.
[tex]\[
\frac{0.74}{3.6}
\][/tex]
2. Calculate the Result:
Performing the division:
[tex]\[
0.74 \div 3.6 = 0.20555555555555555
\][/tex]
This resulting value is the quotient of 0.74 divided by 3.6.
3. Rounding to Three Decimal Places:
Next, we need to round the resultant value to three decimal places. The number 0.20555555555555555 rounded to three decimal places is 0.206.
4. Select the Correct Answer:
Out of the given multiple choice answers:
[tex]\[
\begin{array}{ll}
\text{a)} & 0.206 \\
\text{b)} & 0.0021 \\
\text{c)} & 0.205 \\
\text{d)} & 2.056 \\
\end{array}
\][/tex]
The correct value, after rounding, is 0.206.
Therefore, the final answer is:
[tex]\[
\boxed{0.206}
\][/tex]
