To determine the net gain or loss of the stock over the three days, let's break down the problem step by step:
1. Loss on Monday:
- The stock lost [tex]\(8 \frac{3}{8}\)[/tex] points on Monday.
- Converting the mixed number to an improper fraction: [tex]\(8 \frac{3}{8}\)[/tex] is equivalent to [tex]\(8 + \frac{3}{8}\)[/tex].
- The integer part is [tex]\(8\)[/tex].
- The fractional part is [tex]\(\frac{3}{8}\)[/tex].
- Adding these together: [tex]\(8 + \frac{3}{8} = 8.375\)[/tex].
2. Loss on Tuesday:
- The stock lost [tex]\(1 \frac{5}{8}\)[/tex] points on Tuesday.
- Converting the mixed number to an improper fraction: [tex]\(1 \frac{5}{8}\)[/tex] is equivalent to [tex]\(1 + \frac{5}{8}\)[/tex].
- The integer part is [tex]\(1\)[/tex].
- The fractional part is [tex]\(\frac{5}{8}\)[/tex].
- Adding these together: [tex]\(1 + \frac{5}{8} = 1.625\)[/tex].
3. Gain on Wednesday:
- On Wednesday, the stock gained 13 points.
4. Calculating the Net Gain or Loss:
- First, add the losses from Monday and Tuesday:
[tex]\[
8.375 + 1.625 = 10.0 \text{ points lost}
\][/tex]
- Then, subtract the total loss from the gain on Wednesday:
[tex]\[
13 - 10.0 = 3.0 \text{ points gained}
\][/tex]
So, the net gain or loss over the three days is a gain of [tex]\(3\)[/tex] points.
Therefore, the correct answer is:
- A gain of 3 points
