Sure! Let's solve the given mathematical expression step-by-step.
We are given the expression:
[tex]\[
\frac{8230 \times 0.64}{18.7}
\][/tex]
Step 1: Multiply 8230 by 0.64
First, we calculate the product of 8230 and 0.64.
[tex]\[
8230 \times 0.64 = 5267.2
\][/tex]
Step 2: Simplify the expression using the result from Step 1
Now we use the result from Step 1 in the original fraction. So the fraction becomes:
[tex]\[
\frac{5267.2}{18.7}
\][/tex]
Step 3: Perform the division
Next, we divide 5267.2 by 18.7.
[tex]\[
\frac{5267.2}{18.7} = 281.668449197861
\][/tex]
Result
So, the value of the expression [tex]\(\frac{8230 \times 0.64}{18.7}\)[/tex] is:
[tex]\[
281.668449197861
\][/tex]
Thus, we have:
[tex]\[
\frac{8230 \times 0.64}{18.7} = 281.668449197861
\][/tex]
In summary, by multiplying 8230 by 0.64 and then dividing the result by 18.7, we obtain the final answer of approximately 281.668449197861.
