Sure, let's evaluate the expression [tex]\(\frac{5.432 \times 729.1}{279.5}\)[/tex] using the values given:
### Step-by-Step Solution:
1. Identify the components of the expression:
The expression we need to evaluate is:
[tex]\[
\frac{5.432 \times 729.1}{279.5}
\][/tex]
2. Calculate the numerator:
First, we need to find the product of [tex]\(5.432\)[/tex] and [tex]\(729.1\)[/tex]:
[tex]\[
5.432 \times 729.1 = 3960.4712
\][/tex]
3. Identify the denominator:
The denominator is given as:
[tex]\[
279.5
\][/tex]
4. Perform the division:
Now, we divide the result of the numerator by the denominator:
[tex]\[
\frac{3960.4712}{279.5} = 14.16984329159213
\][/tex]
### Final Answer:
[tex]\[
\frac{5.432 \times 729.1}{279.5} = 14.16984329159213
\][/tex]
Therefore, the evaluation of the expression [tex]\(\frac{5.432 \times 729.1}{279.5}\)[/tex] results in approximately [tex]\(14.1698\)[/tex].
